Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.5893)

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/07.22.03.5893.01

Input Form

HypergeometricPFQ[{6}, {-(11/2), 7/2}, -z] == (1/(1663200 z)) (-32 z (-51975 - 9000 z - 6300 z^2 + 1485 z^3 + 470 z^4 + 32 z^5) + 10 Pi Sqrt[z] (151200 - 81900 z + 43155 z^2 + 8925 z^3 + 200 z^4 + 16 z^5) StruveH[2, 2 Sqrt[z]] + 5 Pi (-907200 + 567000 z - 296100 z^2 - 33705 z^3 + 4200 z^4 + 304 z^5) StruveH[3, 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]