Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.8503)

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=-7/2, a₂>=-7/2

For fixed z and a₁=-7/2, a₂=6, b₁>=-11/2

For fixed z and a₁=-7/2, a₂=6, b₁=4

http://functions.wolfram.com/07.25.03.8503.01

Input Form

HypergeometricPFQ[{-(7/2), 6}, {4, 11/2}, z] == -((1/(8388608 z^4)) (3 E^z (-2205 + 16590 z + 95172 z^2 + 262920 z^3 - 1506928 z^4 + 831904 z^5 - 136512 z^6 + 6528 z^7))) + (1/(16777216 z^(9/2))) (3 Sqrt[Pi] (-2205 + 15120 z + 105840 z^2 + 329280 z^3 + 1481760 z^4 - 3725568 z^5 + 1793792 z^6 - 279552 z^7 + 13056 z^8) 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]