Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.4526)

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=-9/2, a₂>=-9/2

For fixed z and a₁=-9/2, a₂=3, b₁>=-11/2

For fixed z and a₁=-9/2, a₂=3, b₁=5/2

http://functions.wolfram.com/07.25.03.4526.01

Input Form

HypergeometricPFQ[{-(9/2), 3}, {5/2, 6}, z] == -((12 (180 + 342 z + 323 z^2))/(46189 z^5)) + (1/(44341440 z^5)) (E^z (2073600 + 1866240 z + 817920 z^2 - 2096640 z^3 - 4945275 z^4 + 23083110 z^5 - 12471912 z^6 + 2355024 z^7 - 178288 z^8 + 4576 z^9)) + (1/(88682880 z^(3/2))) (Sqrt[Pi] (6235515 + 24942060 z - 56686500 z^2 + 27132000 z^3 - 4883760 z^4 + 361152 z^5 - 9152 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]