Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2935)

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=3

http://functions.wolfram.com/07.25.03.2935.01

Input Form

HypergeometricPFQ[{-(11/2), 6}, {3, 9/2}, z] == (1/(2264924160 z^3)) (E^z (155925 - 2910600 z - 50478120 z^2 + 1565619840 z^3 - 2485269120 z^4 + 1220131200 z^5 - 242247552 z^6 + 20175872 z^7 - 578816 z^8)) + (1/(4529848320 z^(7/2))) (Sqrt[Pi] (-155925 + 2806650 z + 52390800 z^2 + 733471200 z^3 - 4840909920 z^4 + 5993507520 z^5 - 2663781120 z^6 + 504092160 z^7 - 40930560 z^8 + 1157632 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]