Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.1362)

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=2, b₁>=-11/2

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

http://functions.wolfram.com/07.25.03.1362.01

Input Form

HypergeometricPFQ[{-(11/2), 2}, {3/2, 6}, z] == -((4 (120 + 270 z + 342 z^2 + 323 z^3))/(12597 z^5)) + (1/(31744440 z^5)) (E^z (1209600 + 1512000 z + 1330560 z^2 + 967680 z^3 - 1935360 z^4 + 18351585 z^5 - 13646850 z^6 + 3598872 z^7 - 420144 z^8 + 21968 z^9 - 416 z^10)) + (1/(63488880 Sqrt[z])) (Sqrt[Pi] (14549535 - 47616660 z + 30523500 z^2 - 7596960 z^3 + 861840 z^4 - 44352 z^5 + 832 z^6) 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]