Generalized hypergeometric function 1F2: Specific values (formula 07.22.03.5966)

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=-7/2

http://functions.wolfram.com/07.22.03.5966.01

Input Form

HypergeometricPFQ[{6}, {-(7/2), 11/2}, z] == (1/(806400 z^2)) (128 z^2 (6300 - 360 z + 735 z^2 - 68 z^3 + 56 z^4) + 1890 Pi Sqrt[z] (-17640 - 3885 z - 435 z^2 - 40 z^3 + 16 z^4) StruveL[4, 2 Sqrt[z]] + 4725 Pi (35280 + 8946 z + 1101 z^2 + 104 z^3 + 16 z^4) StruveL[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]