Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.a8nj)

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=6, b₁>=-11/2

For fixed z and a₁=-5/2, a₂=6, b₁=4

http://functions.wolfram.com/07.25.03.a8nj.01

Input Form

HypergeometricPFQ[{-(5/2), 6}, {4, 11/2}, z] == (3 E^z (315 - 2100 z - 9996 z^2 - 22368 z^3 + 85648 z^4 - 30784 z^5 + 2496 z^6))/(524288 z^4) - (1/(1048576 z^(9/2))) (3 Sqrt[Pi] (315 - 1890 z - 11340 z^2 - 29400 z^3 - 105840 z^4 + 199584 z^5 - 64064 z^6 + 4992 z^7) 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]