Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.1015)

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, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=1, b₁=2

http://functions.wolfram.com/07.25.03.1015.01

Input Form

HypergeometricPFQ[{-(11/2), 1}, {2, 11/2}, z] == 9/(13 z) + (1/(408944640 z^4)) (E^z (2027025 + 6756750 z + 19459440 z^2 - 167594400 z^3 + 157423200 z^4 - 56157120 z^5 + 9496320 z^6 - 807424 z^7 + 33024 z^8 - 512 z^9)) + (1/(817889280 z^(9/2))) (Sqrt[Pi] (-2027025 - 8108100 z - 24324300 z^2 - 129729600 z^3 + 454053600 z^4 - 363242880 z^5 + 121080960 z^6 - 19768320 z^7 + 1647360 z^8 - 66560 z^9 + 1024 z^10) 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]