Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.3926)

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=3/2, b₁>=-11/2

For fixed z and a₁=-9/2, a₂=3/2, b₁=-3/2

http://functions.wolfram.com/07.25.03.3926.01

Input Form

HypergeometricPFQ[{-(9/2), 3/2}, {-(3/2), 11/2}, z] == (1/(49152 z^4)) (E^z (496125 + 307125 z + 115290 z^2 + 18900 z^3 + 11976 z^4 + 11568 z^5 + 31584 z^6 - 10048 z^7 + 640 z^8)) + (1/(98304 z^(9/2))) (Sqrt[Pi] (-496125 - 637875 z - 408240 z^2 - 158760 z^3 - 72576 z^7 + 20736 z^8 - 1280 z^9) 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]