Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.alp5)

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=7/2, a₂>=7/2

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

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

http://functions.wolfram.com/07.25.03.alp5.01

Input Form

HypergeometricPFQ[{7/2, 6}, {-(11/2), 9/2}, -z] == (1/(89100 z^3)) (16329600 + 5443200 z + 1632960 z^2 + 477900 z^3 + 151200 z^4 + 60480 z^5 + 32760 z^6 + 24408 z^7 + 28485 z^8 + 93375 z^9 - 55632 z^10 + 9936 z^11 - 688 z^12 + 16 z^13) + (1/(178200 z^(7/2))) ((Sqrt[Pi] (-16329600 - 16329600 z - 8164800 z^2 - 2721600 z^3 - 680400 z^4 - 136080 z^5 - 22680 z^6 - 3240 z^7 - 405 z^8 - 45 z^9 - 234018 z^10 + 120552 z^11 - 20544 z^12 + 1392 z^13 - 32 z^14) Erfi[Sqrt[z]])/E^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]