Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.0952)

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=1, b₁>=-11/2

For fixed z and a₁=-11/2, a₂=1, b₁=-3/2

http://functions.wolfram.com/07.25.03.0952.01

Input Form

HypergeometricPFQ[{-(11/2), 1}, {-(3/2), 5}, -z] == (4 (-1386 + 2394 z - 2261 z^2 + 1615 z^3))/(4199 z^4) + (1/(188955 z^4)) ((8 (31185 - 22680 z + 12600 z^2 - 7200 z^3 + 5040 z^4 - 5376 z^5 + 16128 z^6 + 7320 z^7 + 896 z^8 + 32 z^9))/E^z) + (32 Sqrt[Pi] (4845 z^(5/2) + 1938 z^(7/2) + 228 z^(9/2) + 8 z^(11/2)) Erf[Sqrt[z]])/188955

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]