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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions >HypergeometricPFQ[{a1,a2,a3},{b1,b2},z]





Specific values

Values at z==0

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Values at z=1

For fixed a1, a2, a3, b1, b2

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For fixed a1, a2, a3, b1

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For fixed a1, a2, a3

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For fixed a1, a2, b1

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For fixed a2, a3, b1

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For fixed a1, a2

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For fixed a2, a3

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For fixed a2, b1

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For fixed a2, b2

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For fixed a3, b1

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For fixed a3, b2

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For fixed a1

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For fixed a2

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For fixed a3

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For fixed b1

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For fixed b2

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For fixed z and integer parameters

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Values at z==-1

For fixed a1, a3

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For fixed a2, a3

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For fixed a1

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For fixed a2

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For fixed a3

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For fixed z and integer parameters

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Values at z=-1/8

For fixed a1

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Values at z=3/4

For fixed a2

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Values at z=4/3

For fixed a2

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Specialized values

For fixed a1,a2,a3,b1,z

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For fixed a1,a2,a3,b2,z

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For fixed a1,a2,a3,z

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For fixed a2,a3,b2,z

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For fixed a1,a2,z

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For fixed a2,b1,z

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For fixed a1,z

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For fixed a2,z

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For fixed z and with symbolical integers in parameters

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For integer and half-integer parameters and fixed z

For fixed z and a1=-7/2, a2>=-7/2

For fixed z and a1=-7/2, a2=-7/2, a3>=-7/2

For fixed z and a1=-7/2, a2=-7/2, a3=-7/2

For fixed z and a1=-7/2, a2=-7/2, a3=-7/2, b1=-7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-7/2, b1=-5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-7/2, b1=-3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-7/2, b1=-1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-7/2, b1=1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-7/2, b1=1

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For fixed z and a1=-7/2, a2=-7/2, a3=-7/2, b1=3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-7/2, b1=2

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For fixed z and a1=-7/2, a2=-7/2, a3=-7/2, b1=5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-7/2, b1=3

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For fixed z and a1=-7/2, a2=-7/2, a3=-7/2, b1=7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-7/2, b1=4

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For fixed z and a1=-7/2, a2=-7/2, a3=-5/2

For fixed z and a1=-7/2, a2=-7/2, a3=-5/2, b1=-7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-5/2, b1=-5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-5/2, b1=-3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-5/2, b1=-1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-5/2, b1=1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-5/2, b1=1

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For fixed z and a1=-7/2, a2=-7/2, a3=-5/2, b1=3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-5/2, b1=2

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For fixed z and a1=-7/2, a2=-7/2, a3=-5/2, b1=5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-5/2, b1=3

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For fixed z and a1=-7/2, a2=-7/2, a3=-5/2, b1=7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-5/2, b1=4

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For fixed z and a1=-7/2, a2=-7/2, a3=-3/2

For fixed z and a1=-7/2, a2=-7/2, a3=-3/2, b1=-7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-3/2, b1=-5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-3/2, b1=-3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-3/2, b1=-1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-3/2, b1=1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-3/2, b1=1

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For fixed z and a1=-7/2, a2=-7/2, a3=-3/2, b1=3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-3/2, b1=2

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For fixed z and a1=-7/2, a2=-7/2, a3=-3/2, b1=5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-3/2, b1=3

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For fixed z and a1=-7/2, a2=-7/2, a3=-3/2, b1=7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-3/2, b1=4

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For fixed z and a1=-7/2, a2=-7/2, a3=-1/2

For fixed z and a1=-7/2, a2=-7/2, a3=-1/2, b1=-7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-1/2, b1=-5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-1/2, b1=-3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-1/2, b1=-1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-1/2, b1=1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-1/2, b1=1

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For fixed z and a1=-7/2, a2=-7/2, a3=-1/2, b1=3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-1/2, b1=2

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For fixed z and a1=-7/2, a2=-7/2, a3=-1/2, b1=5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-1/2, b1=3

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For fixed z and a1=-7/2, a2=-7/2, a3=-1/2, b1=7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=-1/2, b1=4

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For fixed z and a1=-7/2, a2=-7/2, a3=1/2

For fixed z and a1=-7/2, a2=-7/2, a3=1/2, b1=-7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=1/2, b1=-5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=1/2, b1=-3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=1/2, b1=-1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=1/2, b1=1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=1/2, b1=1

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For fixed z and a1=-7/2, a2=-7/2, a3=1/2, b1=3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=1/2, b1=2

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For fixed z and a1=-7/2, a2=-7/2, a3=1/2, b1=5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=1/2, b1=3

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For fixed z and a1=-7/2, a2=-7/2, a3=1/2, b1=7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=1/2, b1=4

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For fixed z and a1=-7/2, a2=-7/2, a3=1

For fixed z and a1=-7/2, a2=-7/2, a3=1, b1=-7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=1, b1=-5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=1, b1=-3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=1, b1=-1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=1, b1=1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=1, b1=1

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For fixed z and a1=-7/2, a2=-7/2, a3=1, b1=3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=1, b1=2

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For fixed z and a1=-7/2, a2=-7/2, a3=1, b1=5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=1, b1=3

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For fixed z and a1=-7/2, a2=-7/2, a3=1, b1=7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=1, b1=4

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For fixed z and a1=-7/2, a2=-7/2, a3=3/2

For fixed z and a1=-7/2, a2=-7/2, a3=3/2, b1=-7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=3/2, b1=-5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=3/2, b1=-3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=3/2, b1=-1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=3/2, b1=1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=3/2, b1=1

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For fixed z and a1=-7/2, a2=-7/2, a3=3/2, b1=3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=3/2, b1=2

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For fixed z and a1=-7/2, a2=-7/2, a3=3/2, b1=5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=3/2, b1=3

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For fixed z and a1=-7/2, a2=-7/2, a3=3/2, b1=7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=3/2, b1=4

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For fixed z and a1=-7/2, a2=-7/2, a3=2

For fixed z and a1=-7/2, a2=-7/2, a3=2, b1=-7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=2, b1=-5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=2, b1=-3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=2, b1=-1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=2, b1=1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=2, b1=1

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For fixed z and a1=-7/2, a2=-7/2, a3=2, b1=3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=2, b1=2

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For fixed z and a1=-7/2, a2=-7/2, a3=2, b1=5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=2, b1=3

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For fixed z and a1=-7/2, a2=-7/2, a3=2, b1=7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=2, b1=4

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For fixed z and a1=-7/2, a2=-7/2, a3=5/2

For fixed z and a1=-7/2, a2=-7/2, a3=5/2, b1=-7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=5/2, b1=-5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=5/2, b1=-3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=5/2, b1=-1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=5/2, b1=1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=5/2, b1=1

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For fixed z and a1=-7/2, a2=-7/2, a3=5/2, b1=3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=5/2, b1=2

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For fixed z and a1=-7/2, a2=-7/2, a3=5/2, b1=5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=5/2, b1=3

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For fixed z and a1=-7/2, a2=-7/2, a3=5/2, b1=7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=5/2, b1=4

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For fixed z and a1=-7/2, a2=-7/2, a3=3

For fixed z and a1=-7/2, a2=-7/2, a3=3, b1=-7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=3, b1=-5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=3, b1=-3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=3, b1=-1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=3, b1=1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=3, b1=1

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For fixed z and a1=-7/2, a2=-7/2, a3=3, b1=3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=3, b1=2

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For fixed z and a1=-7/2, a2=-7/2, a3=3, b1=5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=3, b1=3

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For fixed z and a1=-7/2, a2=-7/2, a3=3, b1=7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=3, b1=4

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For fixed z and a1=-7/2, a2=-7/2, a3=7/2

For fixed z and a1=-7/2, a2=-7/2, a3=7/2, b1=-7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=7/2, b1=-5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=7/2, b1=-3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=7/2, b1=-1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=7/2, b1=1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=7/2, b1=1

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For fixed z and a1=-7/2, a2=-7/2, a3=7/2, b1=3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=7/2, b1=2

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For fixed z and a1=-7/2, a2=-7/2, a3=7/2, b1=5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=7/2, b1=3

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For fixed z and a1=-7/2, a2=-7/2, a3=7/2, b1=7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=7/2, b1=4

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For fixed z and a1=-7/2, a2=-7/2, a3=4

For fixed z and a1=-7/2, a2=-7/2, a3=4, b1=-7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=4, b1=-5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=4, b1=-3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=4, b1=-1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=4, b1=1/2

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For fixed z and a1=-7/2, a2=-7/2, a3=4, b1=1

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For fixed z and a1=-7/2, a2=-7/2, a3=4, b1=3/2

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For fixed z and a1=-7/2, a2=-7/2, a3=4, b1=2

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For fixed z and a1=-7/2, a2=-7/2, a3=4, b1=5/2

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For fixed z and a1=-7/2, a2=-7/2, a3=4, b1=3

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For fixed z and a1=-7/2, a2=-7/2, a3=4, b1=7/2

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For fixed z and a1=-7/2, a2=-7/2, a3=4, b1=4

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For fixed z and a1=-7/2, a2=-5/2, a3>=-5/2

For fixed z and a1=-7/2, a2=-5/2, a3=-5/2

For fixed z and a1=-7/2, a2=-5/2, a3=-5/2, b1=-7/2

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For fixed z and a1=-7/2, a2=-5/2, a3=-5/2, b1=-5/2

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For fixed z and a1=-7/2, a2=-5/2, a3=-5/2, b1=-3/2

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For fixed z and a1=-7/2, a2=-5/2, a3=-5/2, b1=-1/2

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For fixed z and a1=-7/2, a2=-5/2, a3=-5/2, b1=1/2

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For fixed z and a1=-7/2, a2=-5/2, a3=-5/2, b1=1

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For fixed z and a1=-7/2, a2=-5/2, a3=-5/2, b1=3/2

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For fixed z and a1=-7/2, a2=-5/2, a3=-5/2, b1=2

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For fixed z and a1=-7/2, a2=-5/2, a3=-5/2, b1=5/2

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For fixed z and a1=-7/2, a2=-5/2, a3=-5/2, b1=3

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For fixed z and a1=-7/2, a2=-5/2, a3=-5/2, b1=7/2

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For fixed z and a1=-7/2, a2=-5/2, a3=-5/2, b1=4

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For fixed z and a1=-7/2, a2=-5/2, a3=-3/2

For fixed z and a1=-7/2, a2=-5/2, a3=-3/2, b1=-7/2

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For fixed z and a1=-7/2, a2=-5/2, a3=-3/2, b1=-5/2

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For fixed z and a1=-7/2, a2=-5/2, a3=-3/2, b1=-3/2

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