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

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=11/2, a₂>=11/2

For fixed z and a₁=11/2, a₂=6, b₁>=-11/2

For fixed z and a₁=11/2, a₂=6, b₁=-5/2

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

Input Form

HypergeometricPFQ[{11/2, 6}, {-(5/2), 3/2}, -z] == (1/212625) (212625 + 1871100 z + 11351340 z^2 + 129729600 z^3 - 551350800 z^4 + 628205760 z^5 - 318472560 z^6 + 85058208 z^7 - 12890175 z^8 + 1135680 z^9 - 57072 z^10 + 1504 z^11 - 16 z^12) + (1/425250) ((Sqrt[Pi] z^(7/2) (-551350800 + 1543782240 z - 1513708560 z^2 + 711486720 z^3 - 182000385 z^4 + 26862570 z^5 - 2326968 z^6 + 115632 z^7 - 3024 z^8 + 32 z^9) 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]