Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.0520)

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=-3/2, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=-3/2, b₁=-7/2

http://functions.wolfram.com/07.25.03.0520.01

Input Form

HypergeometricPFQ[{-(11/2), -(3/2)}, {-(7/2), 9/2}, z] == (1/(20643840 z^3)) (E^z (-1091475 - 2079000 z - 3409560 z^2 + 9334080 z^3 - 2322240 z^4 + 2688 z^5 + 1920 z^6 + 4096 z^7 - 256 z^8)) + (1/(41287680 z^(7/2))) (Sqrt[Pi] (1091475 + 2806650 z + 4989600 z^2 + 13970880 z^3 - 20956320 z^4 + 4656960 z^5 - 8448 z^8 + 512 z^9) Erfi[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]