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

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=6, b₁>=-11/2

For fixed z and a₁=11/2, a₂=6, b₁=-7/2

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

Input Form

HypergeometricPFQ[{11/2, 6}, {-(7/2), 7/2}, z] == (1/198450) (198450 - 534600 z + 1081080 z^2 - 2620800 z^3 + 15422400 z^4 + 28256040 z^5 + 15562710 z^6 + 3913929 z^7 + 508620 z^8 + 35000 z^9 + 1200 z^10 + 16 z^11) + (1/396900) (E^z Sqrt[Pi] z^(9/2) (49884120 + 69157530 z + 34607835 z^2 + 8304330 z^3 + 1051080 z^4 + 71184 z^5 + 2416 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]