Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.alk9)

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=11/2, b₁>=-11/2

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

http://functions.wolfram.com/07.25.03.alk9.01

Input Form

HypergeometricPFQ[{7/2, 11/2}, {-(11/2), -(7/2)}, z] == (1/15471658125) (E^z (15471658125 + 12377326500 z^2 + 37721376000 z^3 + 537529608000 z^4 - 11618183808000 z^5 + 230691361824000 z^6 + 2513752496640000 z^7 + 5931334309824000 z^8 + 5896882678579200 z^9 + 3065105372313600 z^10 + 927056329113600 z^11 + 173144567070720 z^12 + 20606103060480 z^13 + 1578572513280 z^14 + 76960235520 z^15 + 2291466240 z^16 + 37748736 z^17 + 262144 z^18))

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]