Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.an18)

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=6, b₁>=-11/2

For fixed z and a₁=9/2, a₂=6, b₁=-11/2

http://functions.wolfram.com/07.25.03.an18.01

Input Form

HypergeometricPFQ[{9/2, 6}, {-(11/2), 5/2}, z] == (1/5457375) (5457375 - 10716300 z + 13097700 z^2 - 14414400 z^3 + 17690400 z^4 - 30844800 z^5 + 143256960 z^6 + 185511060 z^7 + 78033480 z^8 + 15612170 z^9 + 1660200 z^10 + 95504 z^11 + 2784 z^12 + 32 z^13) + (1/5457375) (E^z Sqrt[Pi] z^(13/2) (210612150 + 218412600 z + 85116675 z^2 + 16397850 z^3 + 1706600 z^4 + 96880 z^5 + 2800 z^6 + 32 z^7) Erf[Sqrt[z]])

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]