Generalized hypergeometric function 1F2: Specific values (subsection 03/04/01)

HypergeometricPFQ

$Mathematica Notation$

Hypergeometric Functions

HypergeometricPFQ[{a₁},{b₁,b₂},z]

Specific values

For rational parameters with larger denominators and fixed z

For fixed z and a₁=1, b₁>=-23/4

For fixed z and a₁=1, b₁=-23/4

For fixed z and a₁=1, b₁=-21/4

For fixed z and a₁=1, b₁=-19/4

For fixed z and a₁=1, b₁=-17/4

For fixed z and a₁=1, b₁=-15/4

For fixed z and a₁=1, b₁=-13/4

For fixed z and a₁=1, b₁=-11/4

For fixed z and a₁=1, b₁=-9/4

For fixed z and a₁=1, b₁=-7/4

For fixed z and a₁=1, b₁=-5/4

For fixed z and a₁=1, b₁=-3/4

For fixed z and a₁=1, b₁=-1/4

For fixed z and a₁=1, b₁=1/4

For fixed z and a₁=1, b₁=3/4

For fixed z and a₁=1, b₁=5/4

For fixed z and a₁=1, b₁=7/4

For fixed z and a₁=1, b₁=9/4

For fixed z and a₁=1, b₁=11/4

For fixed z and a₁=1, b₁=13/4

For fixed z and a₁=1, b₁=15/4

For fixed z and a₁=1, b₁=17/4

For fixed z and a₁=1, b₁=19/4

For fixed z and a₁=1, b₁=21/4

For fixed z and a₁=1, b₁=23/4

HypergeometricPFQ[{},{},z]
HypergeometricPFQ[{},{b},z]
HypergeometricPFQ[{a},{},z]
HypergeometricPFQ[{a},{b},z]
HypergeometricPFQ[{a₁,a₂},{b₁},z]
HypergeometricPFQ[{a₁,a₂},{b₁,b₂},z]
HypergeometricPFQ[{a₁,a₂},{b₁,b₂,b₃},z]
HypergeometricPFQ[{a₁,a₂,a₃},{b₁,b₂},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]