Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.a873)

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=-5/2, a₂>=-5/2

For fixed z and a₁=-5/2, a₂=5, b₁>=-11/2

For fixed z and a₁=-5/2, a₂=5, b₁=-9/2

http://functions.wolfram.com/07.25.03.a873.01

Input Form

HypergeometricPFQ[{-(5/2), 5}, {-(9/2), -(9/2)}, z] == (1/178605) (178605 - 110250 z + 40500 z^2 - 7560 z^3 - 3360 z^4 - 36288 z^5 - 352860 z^6 - 341440 z^7 - 106350 z^8 - 13924 z^9 - 792 z^10 - 16 z^11) + (1/178605) (E^z Sqrt[Pi] (-125970 z^(11/2) - 484500 z^(13/2) - 388569 z^(15/2) - 112936 z^(17/2) - 14312 z^(19/2) - 800 z^(21/2) - 16 z^(23/2)) 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]