Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.7480)

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=-7/2, a₂>=-7/2

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

For fixed z and a₁=-7/2, a₂=7/2, b₁=5/2

http://functions.wolfram.com/07.25.03.7480.01

Input Form

HypergeometricPFQ[{-(7/2), 7/2}, {5/2, 11/2}, z] == -((1/(655360 z^4)) (3 E^z (-11025 - 5250 z + 5460 z^2 + 21000 z^3 - 115760 z^4 + 58528 z^5 - 8768 z^6 + 384 z^7))) + (1/(1310720 z^(9/2))) (3 Sqrt[Pi] (-11025 - 12600 z + 23520 z^3 + 117600 z^4 - 282240 z^5 + 125440 z^6 - 17920 z^7 + 768 z^8) 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]