Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.6910)

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=2, b₁>=-11/2

For fixed z and a₁=-7/2, a₂=2, b₁=4

http://functions.wolfram.com/07.25.03.6910.01

Input Form

HypergeometricPFQ[{-(7/2), 2}, {4, 11/2}, -z] == (42 (10 + 13 z))/(143 z^3) + (1/(9371648 z^4)) ((-945945 - 17344950 z - 10947468 z^2 + 3715992 z^3 + 3171920 z^4 + 618208 z^5 + 46016 z^6 + 1152 z^7)/E^z) + (1/(18743296 z^(9/2))) (Sqrt[Pi] (945945 - 10810800 z - 45405360 z^2 - 20180160 z^3 + 10090080 z^4 + 6918912 z^5 + 1281280 z^6 + 93184 z^7 + 2304 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]