Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.akz4)

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=7/2, b₁>=-11/2

For fixed z and a₁=7/2, a₂=7/2, b₁=-5/2

http://functions.wolfram.com/07.25.03.akz4.01

Input Form

HypergeometricPFQ[{7/2, 7/2}, {-(5/2), 1}, z] == (1/3375) (E^(z/2) (3375 - 18225 z + 63000 z^2 - 399240 z^3 - 1807920 z^4 - 1815600 z^5 - 711360 z^6 - 123840 z^7 - 9472 z^8 - 256 z^9) BesselI[0, z/2]) + (1/3375) (E^(z/2) (5175 z - 19440 z^2 + 69480 z^3 - 755520 z^4 - 1263600 z^5 - 600960 z^6 - 114752 z^7 - 9216 z^8 - 256 z^9) 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]
HypergeometricPFQ[{a₁,...,a_p},{b₁,...,b_q},z]