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

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=9/2, b₁>=-11/2

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

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

Input Form

HypergeometricPFQ[{9/2, 9/2}, {-(9/2), -(7/2)}, z] == -((1/1093955625) (E^z (-1093955625 - 312558750 z - 1571724000 z^2 - 7220404800 z^3 - 163097323200 z^4 + 10062424713600 z^5 + 188478805132800 z^6 + 640042794316800 z^7 + 838815059335680 z^8 + 545187304811520 z^9 + 199014805463040 z^10 + 43732875755520 z^11 + 6007090790400 z^12 + 523196792832 z^13 + 28650897408 z^14 + 948699136 z^15 + 17235968 z^16 + 131072 z^17)))

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]