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

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=-9/2

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

Input Form

HypergeometricPFQ[{11/2, 11/2}, {-(9/2), -(7/2)}, z] == -((1/88610405625) (E^z (-88610405625 - 81577833750 z - 284999998500 z^2 - 1713857859000 z^3 - 47603519208000 z^4 + 3620763432720000 z^5 + 83923494651360000 z^6 + 355209022744128000 z^7 + 586457435559744000 z^8 + 487238482555776000 z^9 + 231787689770649600 z^10 + 68089819475865600 z^11 + 12935589189304320 z^12 + 1632811921735680 z^13 + 138591779880960 z^14 + 7890694963200 z^15 + 295369113600 z^16 + 6932791296 z^17 + 92012544 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]