Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.a817)

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=9/2, b₁>=-11/2

For fixed z and a₁=-5/2, a₂=9/2, b₁=-11/2

http://functions.wolfram.com/07.25.03.a817.01

Input Form

HypergeometricPFQ[{-(5/2), 9/2}, {-(11/2), -(11/2)}, z] == -((1/756392175) (E^z (-756392175 + 1037695050 z - 716801400 z^2 + 329086800 z^3 - 111358800 z^4 + 30209760 z^5 + 6531840 z^6 + 274337280 z^7 + 543594240 z^8 + 324011520 z^9 + 79054848 z^10 + 8835072 z^11 + 446464 z^12 + 8192 z^13)))

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]