Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.al9c)

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.al9c.01

Input Form

HypergeometricPFQ[{7/2, 9/2}, {-(9/2), -(9/2)}, z] == (1/1406514375) (E^z (1406514375 - 312558750 z + 714420000 z^2 + 1314532800 z^3 + 9735163200 z^4 + 571574102400 z^5 + 30758848243200 z^6 + 167412089779200 z^7 + 296389861931520 z^8 + 239661445524480 z^9 + 103711651061760 z^10 + 26177023918080 z^11 + 4039292436480 z^12 + 388786126848 z^13 + 23233953792 z^14 + 831258624 z^15 + 16187392 z^16 + 131072 z^17))

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]