Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.al8t)

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=-11/2

http://functions.wolfram.com/07.25.03.al8t.01

Input Form

HypergeometricPFQ[{7/2, 9/2}, {-(11/2), -(11/2)}, z] == (1/170188239375) (E^z (170188239375 - 81577833750 z + 50634517500 z^2 + 14467005000 z^3 + 69441624000 z^4 + 498950928000 z^5 + 30797788896000 z^6 + 1755065890368000 z^7 + 10211375377728000 z^8 + 19526415876172800 z^9 + 17255369440512000 z^10 + 8274531718656000 z^11 + 2353984174080000 z^12 + 418385350656000 z^13 + 47754094510080 z^14 + 3528073543680 z^15 + 166575144960 z^16 + 4818862080 z^17 + 77332480 z^18 + 524288 z^19))

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]