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

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=7/2, b₁>=-11/2

For fixed z and a₁=7/2, a₂=7/2, b₁=-11/2

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

Input Form

HypergeometricPFQ[{7/2, 7/2}, {-(11/2), -(9/2)}, z] == -((1/2210236875) (E^z (-2210236875 + 1116281250 z - 714420000 z^2 - 285768000 z^3 - 1733659200 z^4 - 32272732800 z^5 + 1682449574400 z^6 + 26685193651200 z^7 + 76669700083200 z^8 + 84682817694720 z^9 + 46050448711680 z^10 + 13905850613760 z^11 + 2485585428480 z^12 + 270885027840 z^13 + 18022268928 z^14 + 708575232 z^15 + 15007744 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]