Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.alp7)

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.alp7.01

Input Form

HypergeometricPFQ[{7/2, 6}, {-(11/2), 11/2}, z] == (1/(19800 z^4)) (381024000 - 143337600 z + 43545600 z^2 - 10704960 z^3 + 2172600 z^4 - 378000 z^5 + 60480 z^6 - 10920 z^7 + 3618 z^8 - 3075 z^9 + 8900 z^10 + 3912 z^11 + 464 z^12 + 16 z^13) + (1/(39600 z^(9/2))) (E^z Sqrt[Pi] (-381024000 + 397353600 z - 206841600 z^2 + 71668800 z^3 - 18597600 z^4 + 3855600 z^5 - 665280 z^6 + 98280 z^7 - 12690 z^8 + 1455 z^9 - 150 z^10 + 21288 z^11 + 8272 z^12 + 944 z^13 + 32 z^14) Erf[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]