Generalized hypergeometric function 1F2: Specific values (subsection 03/02)

HypergeometricPFQ

$Mathematica Notation$

Specialized values

For fixed a₁, b₂, z

For fixed b₁, b₂, z

For fixed a₁, z

For fixed b₁, z

For fixed b₂, z

For fixed z and with symbolical integers in parameters

For fixed z and a₁=-m, b₁=1/2-n, b₂=-p

For fixed z and a₁=m, b₁=1/2+n, b₂=1/2+p

For fixed z and a₁=m, b₁=1/2-n, b₂=1/2+p

For fixed z and a₁=m, b₁=1/2-n, b₂=1/2-p

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]