Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2933)

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=6, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=6, b₁=3

http://functions.wolfram.com/07.25.03.2933.01

Input Form

HypergeometricPFQ[{-(11/2), 6}, {3, 7/2}, -z] == (1/(440401920 z^2)) ((-155925 + 5717250 z + 321995940 z^2 + 668808120 z^3 + 401233680 z^4 + 93687136 z^5 + 8950976 z^6 + 289408 z^7)/E^z) + (1/(880803840 z^(5/2))) (Sqrt[Pi] (155925 - 5821200 z + 122245200 z^2 + 1075757760 z^3 + 1664863200 z^4 + 887927040 z^5 + 196035840 z^6 + 18191360 z^7 + 578816 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]