For functions g(z) satisfying a slowly varying condition in the complex plane, we iind asymptotics For the Taylor coefficients of the function f(z) = g(z)(1-z)(-alpha) when alpha > 0. As applications we find asymptotics for the number of permutations with cycle lengths all lying in a given set S, and for the number having unique cycle lengths. (C) 1997 Academic Pres
For a discrete dynamical system, the prime orbit and Mertens’ orbit counting functions describe the ...
31 pagesA ''hybrid method'', dedicated to asymptotic coefficient extraction in combinatorial generat...
Let F be the quotient of an analytic function with a product of linear functions. Working in the fra...
AbstractFor functionsg(z) satisfying a slowly varying condition in the complex plane, we find asympt...
For functions g(z) satisfying a slowly varying condition in the complex plane, we iind asymptotics F...
In this paper we examine the generating function Φ(z) of a renewal sequence arising from the distrib...
Abstract. We prove a theorem concerning asymptotic behavior of general complex-valued kernel convolu...
A theorem of Meinardus provides asymptotics of the number of weighted par-titions under certain assu...
The objects of our interest are the so-called A-permutations, which are permutations whose cycle len...
AbstractWe consider a number of combinatorial problems in which rational generating functions may be...
AbstractWe found the asymptotics, p→∞, for the number of cycles for iteration of monomial functions ...
The asymptotic analysis has obtained new impulses with the general development of various branches o...
Abstract. The investigation of the asymptotic behavior of trigonometric series near the origin is a ...
In this paper we compare the number of multiple zeros of f (z) - g(z) with the function rpK(r) where...
Given an integerm ≥ 1, let ‖· ‖ be a norm inRm+1 and let Sm+ denote the set of points d = (d0,..., d...
For a discrete dynamical system, the prime orbit and Mertens’ orbit counting functions describe the ...
31 pagesA ''hybrid method'', dedicated to asymptotic coefficient extraction in combinatorial generat...
Let F be the quotient of an analytic function with a product of linear functions. Working in the fra...
AbstractFor functionsg(z) satisfying a slowly varying condition in the complex plane, we find asympt...
For functions g(z) satisfying a slowly varying condition in the complex plane, we iind asymptotics F...
In this paper we examine the generating function Φ(z) of a renewal sequence arising from the distrib...
Abstract. We prove a theorem concerning asymptotic behavior of general complex-valued kernel convolu...
A theorem of Meinardus provides asymptotics of the number of weighted par-titions under certain assu...
The objects of our interest are the so-called A-permutations, which are permutations whose cycle len...
AbstractWe consider a number of combinatorial problems in which rational generating functions may be...
AbstractWe found the asymptotics, p→∞, for the number of cycles for iteration of monomial functions ...
The asymptotic analysis has obtained new impulses with the general development of various branches o...
Abstract. The investigation of the asymptotic behavior of trigonometric series near the origin is a ...
In this paper we compare the number of multiple zeros of f (z) - g(z) with the function rpK(r) where...
Given an integerm ≥ 1, let ‖· ‖ be a norm inRm+1 and let Sm+ denote the set of points d = (d0,..., d...
For a discrete dynamical system, the prime orbit and Mertens’ orbit counting functions describe the ...
31 pagesA ''hybrid method'', dedicated to asymptotic coefficient extraction in combinatorial generat...
Let F be the quotient of an analytic function with a product of linear functions. Working in the fra...
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