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

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, a₂>=3

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

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

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

Input Form

HypergeometricPFQ[{3, 11/2}, {-(3/2), -(3/2)}, -z] == (1/8505) (8505 - 62370 z + 3243240 z^2 - 121519440 z^3 + 421530480 z^4 - 461166048 z^5 + 222227712 z^6 - 54392064 z^7 + 7176192 z^8 - 511104 z^9 + 18304 z^10 - 256 z^11) + (1/8505) ((64 Sqrt[Pi] (-317520 z^(5/2) + 3674160 z^(7/2) - 9140040 z^(9/2) + 8625960 z^(11/2) - 3849930 z^(13/2) + 902286 z^(15/2) - 115983 z^(17/2) + 8127 z^(19/2) - 288 z^(21/2) + 4 z^(23/2)) 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]