Generalized hypergeometric function 3F2: Specific values

HypergeometricPFQ

$Mathematica Notation$

Hypergeometric Functions

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

Specific values

Values at z==0

Values at z=1

For fixed a₁, a₂, a₃, b₁, b₂

For fixed a₁, a₂, a₃, b₁

For fixed a₁, a₂, a₃

For fixed a₁, a₂, b₁

For fixed a₂, a₃, b₁

For fixed a₁, a₂

For fixed a₂, a₃

For fixed a₂, b₁

For fixed a₂, b₂

For fixed a₃, b₁

For fixed a₃, b₂

For fixed a₁

For fixed a₂

For fixed a₃

For fixed b₁

For fixed b₂

For fixed z and integer parameters

Values at z==-1

For fixed a₁, a₃

For fixed a₂, a₃

For fixed a₁

For fixed a₂

For fixed a₃

For fixed z and integer parameters

Values at z=-1/8

For fixed a₁

Values at z=3/4

For fixed a₂

Values at z=4/3

For fixed a₂

Specialized values

For fixed a₁,a₂,a₃,b₁,z

For fixed a₁,a₂,a₃,b₂,z

For fixed a₁,a₂,a₃,z

For fixed a₂,a₃,b₂,z

For fixed a₁,a₂,z

For fixed a₂,b₁,z

For fixed a₁,z

For fixed a₂,z

For fixed z and with symbolical integers in parameters

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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