9 citations · 13 across the 5 of their papers we have counts for
4 papers · 1 filter
Asymptotics of Taylor Coefficients of a Rational Function in Two Variables with Linear Singularities
Alexander Lyapin
In this paper, under certain restrictions on linear factors of the denominator of a rational function of two variables, the leading term of the asymptotic expansion of the coeffici…
Riordan's Arrays and Two-Dimensional Difference Equations
Alexander P. Lyapin
In this paper, the describing of rational Riordan's arrays from the combinatorial analysis is represented as solutions of a Cauchy problem for two-dimensional difference equations…
On the Rationality of Multidimentional Recusive Series
Evgeniy K. Leinartas, Alexander P. Lyapin
In this paper, we identify a class of solutions to multidimensional difference equation with rational generating function.
Generating functions for vector partition functions and a basic recurrence relation
Alexander P. Lyapin, Sreelatha Chandragiri
We define a generalized vector partition function and derive an identity for generating series of such functions associated with solutions of basic recurrence relation of combinato…