Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.4882)

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=-9/2, a₂>=-9/2

For fixed z and a₁=-9/2, a₂=4, b₁>=-11/2

For fixed z and a₁=-9/2, a₂=4, b₁=1

http://functions.wolfram.com/07.25.03.4882.01

Input Form

HypergeometricPFQ[{-(9/2), 4}, {1, 9/2}, -z] == (1/(12582912 z^3)) ((-70875 - 92610 z - 154980 z^2 + 10378056 z^3 + 24426480 z^4 + 12119712 z^5 + 1931072 z^6 + 91520 z^7)/E^z) + (1/(25165824 z^(7/2))) (Sqrt[Pi] (70875 + 45360 z + 105840 z^2 + 2116800 z^3 + 37044000 z^4 + 59270400 z^5 + 26078976 z^6 + 3953664 z^7 + 183040 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]