Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.5217)

HypergeometricPFQ

$Mathematica Notation$

Hypergeometric Functions

HypergeometricPFQ[{a₁},{b₁,b₂},z]

Specific values

For integer and half-integer parameters and fixed z

For fixed z and a₁=5, b_1`>=-11/2

For fixed z and a₁=5, b₁=-11/2

http://functions.wolfram.com/07.22.03.5217.01

Input Form

HypergeometricPFQ[{5}, {-(11/2), 11/2}, -z] == (1/(1995840 z^2)) (-64 z^2 (-31185 + 283500 z - 45360 z^2 + 3192 z^3 - 162 z^4 + 8 z^5) + 7560 Pi Sqrt[z] (396900 - 71820 z + 5859 z^2 - 309 z^3 + 16 z^4) StruveH[4, 2 Sqrt[z]] + 945 Pi (-15876000 + 3402000 z - 317520 z^2 + 18417 z^3 - 936 z^4 + 16 z^5) StruveH[5, 2 Sqrt[z]])

Standard Form

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MathML Form

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Rule Form

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Date Added to functions.wolfram.com (modification date)

2007-05-02

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]