Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.ann7)

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=-11/2

http://functions.wolfram.com/07.25.03.ann7.01

Input Form

HypergeometricPFQ[{11/2, 11/2}, {-(11/2), -(9/2)}, z] == (1/8772430156875) (8772430156875 E^z + 1949428923750 E^z z + 8045262225000 E^z z^2 + 20334179250000 E^z z^3 + 123384263310000 E^z z^4 + 3437204787324000 E^z z^5 - 266063123608128000 E^z z^6 - 6349700330709120000 E^z z^7 - 27965884678079040000 E^z z^8 - 48537668687663232000 E^z z^9 - 42833396401541222400 E^z z^10 - 21884456465180467200 E^z z^11 - 6990261263741952000 E^z z^12 - 1464861669304320000 E^z z^13 - 207538712336793600 E^z z^14 - 20212610248212480 E^z z^15 - 1359848778301440 E^z z^16 - 62723093299200 E^z z^17 - 1936864051200 E^z z^18 - 38079037440 E^z z^19 - 428867584 E^z z^20 - 2097152 E^z z^21)

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]