Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2127)

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=4, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=4, b₁=2

http://functions.wolfram.com/07.25.03.2127.01

Input Form

HypergeometricPFQ[{-(11/2), 4}, {2, 9/2}, -z] == (1/(113246208 z^3)) ((155925 + 291060 z + 1663200 z^2 + 79378704 z^3 + 122711136 z^4 + 56612544 z^5 + 10477056 z^6 + 812800 z^7 + 21760 z^8)/ E^z) + (1/(226492416 z^(7/2))) (Sqrt[Pi] (-155925 - 187110 z - 1496880 z^2 + 34927200 z^3 + 244490400 z^4 + 293388480 z^5 + 122943744 z^6 + 21745152 z^7 + 1647360 z^8 + 43520 z^9) 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]