Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.4943)

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=4, b₁>=-11/2

For fixed z and a₁=-9/2, a₂=4, b₁=9/2

http://functions.wolfram.com/07.25.03.4943.01

Input Form

HypergeometricPFQ[{-(9/2), 4}, {9/2, 6}, z] == (840 (4 + 19 z))/(46189 z^5) + (1/(2270281728 z^5)) (E^z (-165150720 - 619315200 z - 389324565 z^2 - 335608770 z^3 - 399920220 z^4 + 1049512776 z^5 - 425349360 z^6 + 64835232 z^7 - 4127552 z^8 + 91520 z^9)) + (1/(4540563456 z^(7/2))) (Sqrt[Pi] (1091215125 + 698377680 z + 698377680 z^2 + 1551950400 z^3 - 2469012000 z^4 + 911635200 z^5 - 133706496 z^6 + 8346624 z^7 - 183040 z^8) 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]