Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.3308)

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=2, b_1`>=-11/2

For fixed z and a₁=2, b₁=-9/2

http://functions.wolfram.com/07.22.03.3308.01

Input Form

HypergeometricPFQ[{2}, {-(9/2), -(9/2)}, z] == (1/893025) (512 Pi z^(5/2) (2 z^(7/2) StruveL[-13, 2 Sqrt[z]] + 97 z^3 StruveL[-12, 2 Sqrt[z]] + 6 (288 z^(5/2) StruveL[-11, 2 Sqrt[z]] + 5 (475 z^2 StruveL[-10, 2 Sqrt[z]] + 4 (470 z^(3/2) StruveL[-9, 2 Sqrt[z]] + 837 z StruveL[-8, 2 Sqrt[z]] + 552 Sqrt[z] StruveL[-7, 2 Sqrt[z]] + 78 StruveL[-6, 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]