Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.3755)

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=-9/2, a₂>=-9/2

For fixed z and a₁=-9/2, a₂=1, b₁>=-11/2

For fixed z and a₁=-9/2, a₂=1, b₁=3/2

http://functions.wolfram.com/07.25.03.3755.01

Input Form

HypergeometricPFQ[{-(9/2), 1}, {3/2, 5}, z] == (4 (30 + 102 z + 255 z^2 + 1105 z^3))/(12155 z^4) + (1/(364650 z^4)) (E^z (-3600 - 8640 z - 20160 z^2 - 107520 z^3 + 155655 z^4 - 61680 z^5 + 9872 z^6 - 672 z^7 + 16 z^8)) + (Sqrt[Pi] (328185 - 364650 z + 132600 z^2 - 20400 z^3 + 1360 z^4 - 32 z^5) Erfi[Sqrt[z]])/(729300 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]