Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.8541)

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=-5/2, b₁>=-11/2

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

http://functions.wolfram.com/07.25.03.8541.01

Input Form

HypergeometricPFQ[{-(5/2), -(5/2)}, {-(11/2), 11/2}, -z] == (-23625 + 17325 z - 10710 z^2 + 7755 z^3 + 6026 z^4 + 556 z^5 + 8 z^6)/ (E^z (19712 z^4)) + (1/(39424 z^(9/2))) (Sqrt[Pi] (23625 - 33075 z + 26460 z^2 - 18375 z^3 + 21000 z^4 + 12600 z^5 + 1120 z^6 + 16 z^7) 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]