Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.9608)

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=-5/2, a₂>=-5/2

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

For fixed z and a₁=-5/2, a₂=2, b₁=9/2

http://functions.wolfram.com/07.25.03.9608.01

Input Form

HypergeometricPFQ[{-(5/2), 2}, {9/2, 6}, z] == (20 (24 + 270 z - 1170 z^2 + 715 z^3))/(1287 z^5) + (1/(247104 z^5)) (E^z (-92160 - 944640 z + 2105145 z^2 - 624330 z^3 - 141480 z^4 + 66768 z^5 - 7088 z^6 + 224 z^7)) + (1/(494208 z^(7/2))) (Sqrt[Pi] (3378375 - 4864860 z + 1158300 z^2 + 343200 z^3 - 140400 z^4 + 14400 z^5 - 448 z^6) Erfi[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]