Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.1054)

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=5

http://functions.wolfram.com/07.25.03.1054.01

Input Form

HypergeometricPFQ[{-(11/2), 1}, {5, 11/2}, z] == (36 (-210 + 1330 z - 2261 z^2 + 1615 z^3))/(20995 z^4) + (1/(10319462400 z^4)) (E^z (3061162125 - 13718801250 z + 17211625200 z^2 - 9337442400 z^3 + 2606604000 z^4 - 405961920 z^5 + 36314880 z^6 - 1836544 z^7 + 48384 z^8 - 512 z^9)) + (1/(20638924800 z^(9/2))) (Sqrt[Pi] (654729075 - 13094581500 z + 39283744500 z^2 - 41902660800 z^3 + 20951330400 z^4 - 5587021440 z^5 + 846518400 z^6 - 74419200 z^7 + 3720960 z^8 - 97280 z^9 + 1024 z^10) 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]