AbstractWe investigate the behavior of the largest root ⩽ −1 of an Euler-Frobenius polynomial. This root determines the convergence/divergence of a cardinal Lagrange spline series. Asymptotic representations are obtained in the most important cases
AbstractIn the space of all polynomial splines on an infinite equidistant grid with fixed odd degree...
AbstractWe give a sharp criterion for the convergence of a Lagrangian cardinal spline series for the...
AbstractStarting from the exponential Euler polynomials discussed by Euler in “Institutions Calculi ...
AbstractWe investigate the behavior of the largest root ⩽ −1 of an Euler-Frobenius polynomial. This ...
AbstractWe consider the problem of the determination of the largest modulus of a root of a complex p...
AbstractInterlacing properties of the roots of the polynomials Pn(x) and Pn+1(x) and Pn(x) and Pn+2(...
textabstractThe large n behaviour of the hypergeometric polynomial $3F_2 (_{1over2 - n,1over2-n}^{-n...
In this paper the properties of the generalized Euler-Frobenius polynomial-4-....o are studied. It i...
For each natural number m greater than one, and each natural number k less than or equal to m, there...
Abstract. We use the method of steepest descents to study the root distribution of the Ehrhart polyn...
A detailed analysis of the remainder obtained by truncating the Euler series up to the nth-order ter...
For each natural number m greater than one, and each natural number k less than or equal to m, there...
Abstract—The Frobenius method can be used to compute solutions of ordinary linear differential equat...
In this paper, we will characterize the nature of the maximum real roots of the Fibonacci-like polyn...
AbstractThe region of convergence of a polynomial series ∑anqn is determined, provided the (weak) as...
AbstractIn the space of all polynomial splines on an infinite equidistant grid with fixed odd degree...
AbstractWe give a sharp criterion for the convergence of a Lagrangian cardinal spline series for the...
AbstractStarting from the exponential Euler polynomials discussed by Euler in “Institutions Calculi ...
AbstractWe investigate the behavior of the largest root ⩽ −1 of an Euler-Frobenius polynomial. This ...
AbstractWe consider the problem of the determination of the largest modulus of a root of a complex p...
AbstractInterlacing properties of the roots of the polynomials Pn(x) and Pn+1(x) and Pn(x) and Pn+2(...
textabstractThe large n behaviour of the hypergeometric polynomial $3F_2 (_{1over2 - n,1over2-n}^{-n...
In this paper the properties of the generalized Euler-Frobenius polynomial-4-....o are studied. It i...
For each natural number m greater than one, and each natural number k less than or equal to m, there...
Abstract. We use the method of steepest descents to study the root distribution of the Ehrhart polyn...
A detailed analysis of the remainder obtained by truncating the Euler series up to the nth-order ter...
For each natural number m greater than one, and each natural number k less than or equal to m, there...
Abstract—The Frobenius method can be used to compute solutions of ordinary linear differential equat...
In this paper, we will characterize the nature of the maximum real roots of the Fibonacci-like polyn...
AbstractThe region of convergence of a polynomial series ∑anqn is determined, provided the (weak) as...
AbstractIn the space of all polynomial splines on an infinite equidistant grid with fixed odd degree...
AbstractWe give a sharp criterion for the convergence of a Lagrangian cardinal spline series for the...
AbstractStarting from the exponential Euler polynomials discussed by Euler in “Institutions Calculi ...