Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.1299)

HypergeometricPFQ

$Mathematica Notation$

Hypergeometric Functions

HypergeometricPFQ[{a₁,a₂},{b₁,b₂},z]

Specific values

For integer and half-integer parameters and fixed z

For fixed z and a₁=-11/2, a₂>=-11/2

For fixed z and a₁=-11/2, a₂=2, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=2, b₁=-5/2

http://functions.wolfram.com/07.25.03.1299.01

Input Form

HypergeometricPFQ[{-(11/2), 2}, {-(5/2), 5}, -z] == (252 (858 - 836 z + 323 z^2))/(20995 z^4) - (1/(314925 z^4)) ((8 (405405 + 10395 z - 39690 z^2 + 22680 z^3 - 12000 z^4 + 7632 z^5 - 7392 z^6 + 20224 z^7 + 6480 z^8 + 416 z^9))/ E^z) - (64 Sqrt[Pi] (2907 z^(7/2) + 836 z^(9/2) + 52 z^(11/2)) Erf[Sqrt[z]])/314925

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},{b₁,b₂},z]
HypergeometricPFQ[{a₁,a₂},{b₁},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]