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

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=2, a₂>=2

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

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

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

Input Form

HypergeometricPFQ[{2, 7/2}, {-(11/2), -(9/2)}, -z] == (1/147349125) (147349125 - 41674500 z + 17860500 z^2 - 14968800 z^3 + 32432400 z^4 - 389188800 z^5 - 15437822400 z^6 + 134299468800 z^7 - 228330627840 z^8 + 152052526080 z^9 - 49728506880 z^10 + 8829296640 z^11 - 884305920 z^12 + 49430528 z^13 - 1425408 z^14 + 16384 z^15) - (1/147349125) ((8192 Sqrt[Pi] (-5443200 z^(13/2) + 25401600 z^(15/2) - 35078400 z^(17/2) + 21168000 z^(19/2) - 6562080 z^(21/2) + 1128960 z^(23/2) - 110880 z^(25/2) + 6120 z^(27/2) - 175 z^(29/2) + 2 z^(31/2)) Erfi[Sqrt[z]])/E^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]