Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.ano7)

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=11/2, a₂>=11/2

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

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

http://functions.wolfram.com/07.25.03.ano7.01

Input Form

HypergeometricPFQ[{11/2, 11/2}, {-(7/2), -(3/2)}, z] == (1/281302875) (E^z (281302875 + 1339537500 z + 25912013400 z^2 - 711433724400 z^3 + 17190631231200 z^4 + 221310798609600 z^5 + 603736681161600 z^6 + 682565545186560 z^7 + 398215428387840 z^8 + 133761884820480 z^9 + 27503511275520 z^10 + 3577114275840 z^11 + 297601081344 z^12 + 15671771136 z^13 + 501645312 z^14 + 8847360 z^15 + 65536 z^16))

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]