Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.5889)

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=6, b_1`>=-11/2

For fixed z and a₁=6, b₁=-11/2

http://functions.wolfram.com/07.22.03.5889.01

Input Form

HypergeometricPFQ[{6}, {-(11/2), 5/2}, -z] == (1/(2494800 Sqrt[z])) (-8 Sqrt[z] (-311850 - 189000 z + 50400 z^2 + 39825 z^3 + 3972 z^4 + 272 z^5) + 3 Pi Sqrt[z] (-264600 + 428400 z + 187425 z^2 + 1050 z^3 - 1120 z^4 + 32 z^5) StruveH[1, 2 Sqrt[z]] + 3 Pi (529200 - 945000 z - 239400 z^2 + 71295 z^3 + 9240 z^4 + 496 z^5) StruveH[2, 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]