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

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=-3/2, a₂>=-3/2

For fixed z and a₁=-3/2, a₂=5, b₁>=-11/2

For fixed z and a₁=-3/2, a₂=5, b₁=3

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

Input Form

HypergeometricPFQ[{-(3/2), 5}, {3, 11/2}, z] == -((63 E^z (105 - 130 z + 248 z^2 + 656 z^3 - 1840 z^4 + 352 z^5))/ (262144 z^4)) + (63 Sqrt[Pi] (105 - 60 z + 180 z^2 + 800 z^3 + 2800 z^4 - 4032 z^5 + 704 z^6) Erfi[Sqrt[z]])/(524288 z^(9/2))

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]