Generalized hypergeometric function 3F2: Specific values (subsection 03/08/05/01)

HypergeometricPFQ

$Mathematica Notation$

Hypergeometric Functions

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

Specific values

For integer and half-integer parameters and fixed z

For fixed z and a₁=1/2, a₂>=1/2

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

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

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

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

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

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

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

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

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

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

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

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

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

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

For fixed z and a₁=1/2, a₂=1/2, a₃=1

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

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

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

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

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

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

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

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

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

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

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

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

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

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

For fixed z and a₁=1/2, a₂=1/2, a₃=3/2, b₁=-5/2

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

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

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

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

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

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

For fixed z and a₁=1/2, a₂=1/2, a₃=3/2, b₁=5/2

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

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

For fixed z and a₁=1/2, a₂=1/2, a₃=3/2, b₁=4

For fixed z and a₁=1/2, a₂=1/2, a₃=2

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

For fixed z and a₁=1/2, a₂=1/2, a₃=5/2, b₁=-3/2

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

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

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

For fixed z and a₁=1/2, a₂=1/2, a₃=5/2, b₁=3/2

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

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

For fixed z and a₁=1/2, a₂=1/2, a₃=5/2, b₁=3

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

For fixed z and a₁=1/2, a₂=1/2, a₃=5/2, b₁=4

For fixed z and a₁=1/2, a₂=1/2, a₃=3

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

For fixed z and a₁=1/2, a₂=1/2, a₃=3, b₁=-5/2

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

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

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

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

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

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

For fixed z and a₁=1/2, a₂=1/2, a₃=3, b₁=5/2

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

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

For fixed z and a₁=1/2, a₂=1/2, a₃=3, b₁=4

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

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

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

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

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

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

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

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

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

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

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

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

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

For fixed z and a₁=1/2, a₂=1/2, a₃=4

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

For fixed z and a₁=1/2, a₂=1/2, a₃=4, b₁=-5/2

For fixed z and a₁=1/2, a₂=1/2, a₃=4, b₁=-3/2

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

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

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

For fixed z and a₁=1/2, a₂=1/2, a₃=4, b₁=3/2

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

For fixed z and a₁=1/2, a₂=1/2, a₃=4, b₁=5/2

For fixed z and a₁=1/2, a₂=1/2, a₃=4, b₁=3

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

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

HypergeometricPFQ[{},{},z]
HypergeometricPFQ[{},{b},z]
HypergeometricPFQ[{a},{},z]
HypergeometricPFQ[{a},{b},z]
HypergeometricPFQ[{a₁},{b₁,b₂},z]
HypergeometricPFQ[{a₁,a₂},{b₁},z]
HypergeometricPFQ[{a₁,a₂},{b₁,b₂},z]
HypergeometricPFQ[{a₁,a₂},{b₁,b₂,b₃},z]
HypergeometricPFQ[{a₁,a₂,a₃,a₄},{b₁,b₂,b₃},z]
HypergeometricPFQ[{a₁,a₂,a₃,a₄,a₅},{b₁,b₂,b₃,b₄},z]
HypergeometricPFQ[{a₁,a₂,a₃,a₄,a₅,a₆},{b₁,b₂,b₃,b₄,b₅},z]
HypergeometricPFQ[{a₁,...,a_p},{b₁,...,b_q},z]