Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.2757)

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=11/2, b₁>=-11/2

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

http://functions.wolfram.com/07.25.03.2757.01

Input Form

HypergeometricPFQ[{-(11/2), 11/2}, {5/2, 6}, z] == (1/(32081724675 z^3)) (32 E^(z/2) (-415800 + 426195 z - 519750 z^2 + 1005224220 z^3 - 2492249760 z^4 + 1966411440 z^5 - 652781472 z^6 + 99271680 z^7 - 6746112 z^8 + 163840 z^9) BesselI[0, z/2]) - (1/(32081724675 z^4)) (32 E^(z/2) (-1663200 + 1704780 z - 2130975 z^2 + 10734570 z^3 + 123312420 z^4 - 1255897440 z^5 + 1443589392 z^6 - 563137440 z^7 + 92771328 z^8 - 6582272 z^9 + 163840 z^10) BesselI[1, z/2])

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]
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