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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions >Hypergeometric2F1[a,b,c,z]





Specific values

Values at z==0

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Values at z=1

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Values at z==-1

For fixed a, b

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For fixed b, c

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For fixed b

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For other parameters

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Values at z=1/2

For fixed a, b

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For fixed a, c

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For fixed a

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For fixed b

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For fixed c

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Values at other z

Values at z==-1/2

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Values at z==-1/3

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Values at z==-1/8

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Values at z==1/9

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Values at z==1/4

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Values at z==1/3

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Values at z==8/9

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Values at z==2

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Values at z==4-321/2/8

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Values at z==1-21/2/2

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Values at z==2-21/2/4

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Values at z==221/2-2

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Values at z==1221/2-16

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Values at z==2-31/2/4

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Values at z==e+-Pi i/3

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Values at z including phi

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Specialized values

For fixed a, b, z

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For fixed a, c, z

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For fixed b, c, z

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For fixed a, z

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For fixed b, z

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For fixed c, z

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For fixed z and with symbolical integers in parameters

For fixed z and a=1, b=m/n, c=m/n+1

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For fixed z and a=1, b=n, c=p

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For fixed z and a=-m, b=n, c=p

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For fixed z and a=-m, b=n, c=-p

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For fixed z and a=-m, b=-n, c=p

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For fixed z and a=-m, b=-n, c=-p

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For fixed z and a=1, b=n, c=1/2+p

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For fixed z and a=-m, b=n, c=1/2+p

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For fixed z and a=-m, b=-n, c=1/2+-p

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For fixed z and a=1, b=1/2+n, c=p

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For fixed z and a=-m, b=1/2-n, c=-p

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For fixed z and a=-m, b=n+1/2, c=1

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For fixed z and a=1/2, b=n, c=p

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For fixed z and a=1/2, b=1/2+n, c=p

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For fixed z and a=1/2+m, b=n, c=1/2+p

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For fixed z and a=-m, b=1/2-n, c=1/2+p

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For fixed z and a=-m, b=n+1/2, c=1/2+-p

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For fixed z and a=1, b=1/2+n, c=1/2+p

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For fixed z and a=1, b=1/2-n, c=1/2+p

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For fixed z and a=1, b=1/2-n, c=3/2-p

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For fixed z and a=1/2, b=1/2+n, c=1/2+p

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For fixed z and a=1/2, b=1/2-n, c=1/2+p

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For fixed z and a=-n/2, b=1-n/2, c=+-p

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For fixed z and a=-n/2, b=1-n/2, c=1/2+-p

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For fixed z and a=-m/2, b=n/2, c=p+1/2

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For fixed z and a=-m/2, b=n/2, c=1

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For integer and half-integer parameters and fixed z

For fixed z and a=-11/2, b>=a

For fixed z and a=-11/2, b=-11/2

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For fixed z and a=-11/2, b=-9/2

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For fixed z and a=-11/2, b=-7/2

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For fixed z and a=-11/2, b=-5/2

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For fixed z and a=-11/2, b=-3/2

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For fixed z and a=-11/2, b=-1/2

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For fixed z and a=-11/2, b=1/2

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For fixed z and a=-11/2, b=1

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For fixed z and a=-11/2, b=3/2

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For fixed z and a=-11/2, b=2

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For fixed z and a=-11/2, b=5/2

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For fixed z and a=-11/2, b=3

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For fixed z and a=-11/2, b=7/2

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For fixed z and a=-11/2, b=4

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For fixed z and a=-11/2, b=9/2

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For fixed z and a=-11/2, b=5

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For fixed z and a=-11/2, b=11/2

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For fixed z and a=-11/2, b=6

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For fixed z and a=-9/2, b>=a

For fixed z and a=-9/2, b=-9/2

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For fixed z and a=-9/2, b=-7/2

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For fixed z and a=-9/2, b=-5/2

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For fixed z and a=-9/2, b=-3/2

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For fixed z and a=-9/2, b=-1/2

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For fixed z and a=-9/2, b=1/2

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For fixed z and a=-9/2, b=1

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For fixed z and a=-9/2, b=3/2

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For fixed z and a=-9/2, b=2

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For fixed z and a=-9/2, b=5/2

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For fixed z and a=-9/2, b=3

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For fixed z and a=-9/2, b=7/2

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For fixed z and a=-9/2, b=4

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For fixed z and a=-9/2, b=9/2

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For fixed z and a=-9/2, b=5

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For fixed z and a=-9/2, b=11/2

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For fixed z and a=-9/2, b=6

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For fixed z and a=-7/2, b>=a

For fixed z and a=-7/2, b=-7/2

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For fixed z and a=-7/2, b=-5/2

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For fixed z and a=-7/2, b=-3/2

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For fixed z and a=-7/2, b=-1/2

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For fixed z and a=-7/2, b=1/2

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For fixed z and a=-7/2, b=1

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For fixed z and a=-7/2, b=3/2

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For fixed z and a=-7/2, b=2

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For fixed z and a=-7/2, b=5/2

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For fixed z and a=-7/2, b=3

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For fixed z and a=-7/2, b=7/2

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For fixed z and a=-7/2, b=4

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For fixed z and a=-7/2, b=9/2

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For fixed z and a=-7/2, b=5

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For fixed z and a=-7/2, b=11/2

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For fixed z and a=-7/2, b=6

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For fixed z and a=-5/2, b>=a

For fixed z and a=-5/2, b=-5/2

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For fixed z and a=-5/2, b=-3/2

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For fixed z and a=-5/2, b=-1/2

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For fixed z and a=-5/2, b=1/2

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For fixed z and a=-5/2, b=1

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For fixed z and a=-5/2, b=3/2

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For fixed z and a=-5/2, b=2

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For fixed z and a=-5/2, b=5/2

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