Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.ansm)

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=-9/2

http://functions.wolfram.com/07.25.03.ansm.01

Input Form

HypergeometricPFQ[{11/2, 6}, {-(9/2), 5/2}, z] == (1/4465125) (4465125 - 13097700 z + 24324300 z^2 - 43243200 z^3 + 100245600 z^4 - 586051200 z^5 - 1103729760 z^6 - 653059260 z^7 - 184099860 z^8 - 28218570 z^9 - 2461800 z^10 - 121104 z^11 - 3104 z^12 - 32 z^13) - (1/4465125) (E^z Sqrt[Pi] z^(11/2) (952333200 + 1364400450 z + 733581450 z^2 + 197115975 z^3 + 29392650 z^4 + 2520840 z^5 + 122640 z^6 + 3120 z^7 + 32 z^8) 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]