Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2772)

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=11/2, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=11/2, b₁=9/2

http://functions.wolfram.com/07.25.03.2772.01

Input Form

HypergeometricPFQ[{-(11/2), 11/2}, {9/2, 9/2}, z] == (1/(63700992 z^3)) (E^z (-155925 - 1018710 z - 3783780 z^2 + 38465496 z^3 - 36564432 z^4 + 12207840 z^5 - 1769664 z^6 + 112768 z^7 - 2560 z^8)) + (1/(127401984 z^(7/2))) (Sqrt[Pi] (155925 + 1122660 z + 4490640 z^2 + 27941760 z^3 - 104781600 z^4 + 83825280 z^5 - 26078976 z^6 + 3649536 z^7 - 228096 z^8 + 5120 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]