Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.5347)

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=-9/2, a₂>=-9/2

For fixed z and a₁=-9/2, a₂=5, b₁>=-11/2

For fixed z and a₁=-9/2, a₂=5, b₁=11/2

http://functions.wolfram.com/07.25.03.5347.01

Input Form

HypergeometricPFQ[{-(9/2), 5}, {11/2, 6}, z] == 7560/(46189 z^5) + (1/(72649015296 z^5)) (E^z (-11890851840 - 11024665785 z - 10310286420 z^2 - 9890611920 z^3 - 12367872720 z^4 + 33909438432 z^5 - 14024379072 z^6 + 2166717696 z^7 - 139293440 z^8 + 3111680 z^9)) + (1/(145298030592 z^(9/2))) (Sqrt[Pi] (22915517625 + 19641872250 z + 18856197360 z^2 + 20951330400 z^3 + 48886437600 z^4 - 79995988800 z^5 + 30083961600 z^6 - 4469617152 z^7 + 281698560 z^8 - 6223360 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]