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

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=-9/2

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

Input Form

HypergeometricPFQ[{11/2, 11/2}, {-(9/2), -(3/2)}, z] == -((1/2531725875) (E^z (-2531725875 - 8814156750 z - 126880992000 z^2 + 2186125200000 z^3 - 18613498680000 z^4 + 255692061072000 z^5 + 2253831640704000 z^6 + 4620301088256000 z^7 + 4152639089088000 z^8 + 2000287820160000 z^9 + 570062393671680 z^10 + 101509508136960 z^11 + 11618244771840 z^12 + 861622272000 z^13 + 40874803200 z^14 + 1189085184 z^15 + 19202048 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]