Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.4548)

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=4

http://functions.wolfram.com/07.25.03.4548.01

Input Form

HypergeometricPFQ[{-(9/2), 3}, {4, 11/2}, z] == 126/(143 z^3) + (1/(1124597760 z^4)) (E^z (70945875 - 490904820 z - 230716080 z^2 - 225182160 z^3 + 501143520 z^4 - 188863680 z^5 + 27476736 z^6 - 1692416 z^7 + 36608 z^8)) + (1/(2249195520 z^(9/2))) (Sqrt[Pi] (-70945875 - 547296750 z + 875674800 z^2 + 454053600 z^3 + 817296480 z^4 - 1167566400 z^5 + 403603200 z^6 - 56609280 z^7 + 3421440 z^8 - 73216 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]