Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.ao0w)

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=6, a₂>=6

For fixed z and a₁=6, a₂=6, b₁>=-11/2

For fixed z and a₁=6, a₂=6, b₁=1

http://functions.wolfram.com/07.25.03.ao0w.01

Input Form

HypergeometricPFQ[{6, 6}, {1, 9/2}, -z] == (1/(7864320 z^3)) (7 (2025 - 1350 z + 5040 z^2 + 976320 z^3 - 4534560 z^4 + 4595520 z^5 - 1726720 z^6 + 282624 z^7 - 20224 z^8 + 512 z^9)) - (1/(15728640 z^(7/2))) ((7 Sqrt[Pi] (2025 + 4500 z^2 - 144000 z^3 + 4356000 z^4 - 12480000 z^5 + 10680960 z^6 - 3717120 z^7 + 584960 z^8 - 40960 z^9 + 1024 z^10) Erfi[Sqrt[z]])/E^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]