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References in periodicals archive ?
Specifically, EGO highlights the essentialness of each function of a foreign security force: the executive function, generating function, and operating function are roughly analogous (in their U.S.
[11] introduced a class the polynomials [B.sup.[m-1].sub.n] (x), considering a class of Appell polynomials defined by using a generating function linked to the Mittag-Leffler function (see, [12, p.
Based on the proposed model, the joint moment generating function of underlying log-asset price and counter's log-asset value is derived.
There are only a few explicit examples which include the formula for the exponential generating function of Hermite polynomials [8] and the Glaisher-Crofton identity [9-11]
[P.sub.Idle](z) = Probability generating function of the system size when the server is idle (vacation + setup + dormant + build-up) state
Since the generating function is the [chi]-dimensional Epstein zeta-function, Chandrasekharan and Narasimhan [4] naturally obtained the Bessel series expression for the [chi]-dimensional random sphere problem.
The information generating function derived using Eq.
Moreover, [PHI](x, u, y, v; [xi]) is implicitly defined by a generating function
As shown in our recent work [10], the generating function of the universal associated Legendre polynomials is given by
The backward system for the minimal [??]-function is expressed in terms of the probability generating function F(s, t) as
Let [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] be the exponential generating function of the sequence of these numbers.
We denote by g(x) the generating function of G, and f (x, y) the bivariate generating function of F where the coefficient of [x.sup.n][y.sup.k] is the number of permutations of length n with exactly k successions.