Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.1720)

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=1

http://functions.wolfram.com/07.25.03.1720.01

Input Form

HypergeometricPFQ[{-(11/2), 3}, {1, 9/2}, z] == (1/(37748736 z^3)) (E^z (-779625 - 41580 z + 665280 z^2 + 30340368 z^3 - 66559584 z^4 + 35776704 z^5 - 7237632 z^6 + 595712 z^7 - 16640 z^8)) + (1/(75497472 z^(7/2))) (Sqrt[Pi] (779625 + 561330 z - 498960 z^2 + 6985440 z^3 - 104781600 z^4 + 162993600 z^5 - 78236928 z^6 + 15054336 z^7 - 1208064 z^8 + 33280 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]