Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.0854)

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=1/2, b₁>=-11/2

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

http://functions.wolfram.com/07.25.03.0854.01

Input Form

HypergeometricPFQ[{-(11/2), 1/2}, {-(1/2), 9/2}, -z] == (1/(3538944 z^3)) ((311850 - 634095 z + 1018710 z^2 + 843372 z^3 - 2774616 z^4 - 1709520 z^5 - 329952 z^6 - 25024 z^7 - 640 z^8)/E^z) + (1/(7077888 z^(7/2))) (Sqrt[Pi] (-311850 + 841995 z - 1496880 z^2 + 3492720 z^3 - 6985440 z^5 - 3725568 z^6 - 684288 z^7 - 50688 z^8 - 1280 z^9) Erf[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]