Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.1777)

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=3, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=3, b₁=4

http://functions.wolfram.com/07.25.03.1777.01

Input Form

HypergeometricPFQ[{-(11/2), 3}, {4, 11/2}, z] == 126/(221 z^3) + (1/(6952058880 z^4)) (E^z (241215975 - 2056862430 z - 1072053360 z^2 - 1173160800 z^3 + 3305707680 z^4 - 1574529600 z^5 + 307140864 z^6 - 28474880 z^7 + 1234688 z^8 - 19968 z^9)) + (1/(13904117760 z^(9/2))) (Sqrt[Pi] (-241215975 - 2067565500 z + 3721617900 z^2 + 2205403200 z^3 + 4631346720 z^4 - 7939451520 z^5 + 3430627200 z^6 - 641571840 z^7 + 58164480 z^8 - 2489344 z^9 + 39936 z^10) 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]