Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.9217)

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=-5/2, a₂>=-5/2

For fixed z and a₁=-5/2, a₂=1, b₁>=-11/2

For fixed z and a₁=-5/2, a₂=1, b₁=4

http://functions.wolfram.com/07.25.03.9217.01

Input Form

HypergeometricPFQ[{-(5/2), 1}, {4, 9/2}, z] == (30 - 110 z + 99 z^2)/(33 z^3) + (E^z (-35685 + 83370 z - 50232 z^2 + 11376 z^3 - 1040 z^4 + 32 z^5))/ (50688 z^3) + (1/(101376 z^(7/2))) (Sqrt[Pi] (-10395 + 124740 z - 207900 z^2 + 110880 z^3 - 23760 z^4 + 2112 z^5 - 64 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]