Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.al9o)

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=9/2, b₁>=-11/2

For fixed z and a₁=7/2, a₂=9/2, b₁=-9/2

http://functions.wolfram.com/07.25.03.al9o.01

Input Form

HypergeometricPFQ[{7/2, 9/2}, {-(9/2), 4}, z] == -((1/(496125 z)) (4 E^(z/2) (-2027025 + 788130 z - 124740 z^2 - 50400 z^3 + 75600 z^4 - 90720 z^5 + 252672 z^6 + 574464 z^7 + 218880 z^8 + 27136 z^9 + 1024 z^10) BesselI[0, z/2])) - (1/(496125 z^2)) (4 E^(z/2) (8108100 - 3648645 z + 1434510 z^2 - 467460 z^3 + 151200 z^4 - 65520 z^5 + 47712 z^6 - 66816 z^7 + 393216 z^8 + 193280 z^9 + 26112 z^10 + 1024 z^11) 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]
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HypergeometricPFQ[{a},{b},z]
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HypergeometricPFQ[{a₁,a₂},{b₁},z]
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