Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.1772)

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=3, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=3, b₁=7/2

http://functions.wolfram.com/07.25.03.1772.01

Input Form

HypergeometricPFQ[{-(11/2), 3}, {7/2, 6}, -z] == -((60 (12 - 42 z + 133 z^2))/(29393 z^5)) + (1/(2528268288 z^5)) ((61931520 - 154828800 z + 500613120 z^2 - 328271265 z^3 + 396954810 z^4 + 1225758996 z^5 + 608861400 z^6 + 122098896 z^7 + 11547616 z^8 + 508352 z^9 + 8320 z^10)/E^z) + (1/(5056536576 z^(5/2))) (Sqrt[Pi] (916620705 - 698377680 z + 1629547920 z^2 + 2962814400 z^3 + 1329468000 z^4 + 255257856 z^5 + 23595264 z^6 + 1025024 z^7 + 16640 z^8) Erf[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},{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]