AbstractThe complete asymptotic expansion of power means in terms of Bell polynomials is obtained. Some results recently obtained by M. Bjelica are generalized
AbstractThe relation between the exponential sums SN(x;p)=∑n=0N−1exp(πixnp) and T0≡T0(x;N,p)=∑n=1∞e−...
summary:Let $p\in (0,1)$ be a real number and let $n\ge 2$ be an even integer. We determine the larg...
AbstractThe asymptotic behaviour of parabolic cylinder functions of large real order is considered. ...
In this paper, by using the Bernoulli numbers and the exponential complete Bell polynomials, we esta...
AbstractHan's ‘multinode higher-order expansion’ in [H] is shown to be a special case of an asymptot...
AbstractAll orthogonal polynomial systems satisfy a recurrence formula: xpn(x) = an + 1 pn + 1(x) + ...
Derivative-matching approximations are constructed as power series built from functions. The method ...
AbstractThe complete asymptotic expansion of power means in terms of Bell polynomials is obtained. S...
AbstractTwo uniform asymptotic expansions are obtained for the Pollaczek polynomials Pn(cosθ;a,b). O...
AbstractWe present the complete asymptotic expansion for the Meyer-König and Zeller operatorsMn(f(t)...
AbstractThis paper deals with a lower estimate for the general asymmetric divisor problem. Continuin...
AbstractWe establish a first-order asymptotic for the entropy integrals∫Ipn2(logpn2)W2and∫Ipn2(log(p...
The aim of this paper is to answer an open problem posed by M. B. Villarino [arXiv:0707.3950v2]. We ...
AbstractWe obtain a complete asymptotic expansion of the sequence of integrals (∫01f(xn)dx)n≥1, wher...
AbstractThe main subject of this paper is the analysis of asymptotic expansions of Wallis quotient f...
AbstractThe relation between the exponential sums SN(x;p)=∑n=0N−1exp(πixnp) and T0≡T0(x;N,p)=∑n=1∞e−...
summary:Let $p\in (0,1)$ be a real number and let $n\ge 2$ be an even integer. We determine the larg...
AbstractThe asymptotic behaviour of parabolic cylinder functions of large real order is considered. ...
In this paper, by using the Bernoulli numbers and the exponential complete Bell polynomials, we esta...
AbstractHan's ‘multinode higher-order expansion’ in [H] is shown to be a special case of an asymptot...
AbstractAll orthogonal polynomial systems satisfy a recurrence formula: xpn(x) = an + 1 pn + 1(x) + ...
Derivative-matching approximations are constructed as power series built from functions. The method ...
AbstractThe complete asymptotic expansion of power means in terms of Bell polynomials is obtained. S...
AbstractTwo uniform asymptotic expansions are obtained for the Pollaczek polynomials Pn(cosθ;a,b). O...
AbstractWe present the complete asymptotic expansion for the Meyer-König and Zeller operatorsMn(f(t)...
AbstractThis paper deals with a lower estimate for the general asymmetric divisor problem. Continuin...
AbstractWe establish a first-order asymptotic for the entropy integrals∫Ipn2(logpn2)W2and∫Ipn2(log(p...
The aim of this paper is to answer an open problem posed by M. B. Villarino [arXiv:0707.3950v2]. We ...
AbstractWe obtain a complete asymptotic expansion of the sequence of integrals (∫01f(xn)dx)n≥1, wher...
AbstractThe main subject of this paper is the analysis of asymptotic expansions of Wallis quotient f...
AbstractThe relation between the exponential sums SN(x;p)=∑n=0N−1exp(πixnp) and T0≡T0(x;N,p)=∑n=1∞e−...
summary:Let $p\in (0,1)$ be a real number and let $n\ge 2$ be an even integer. We determine the larg...
AbstractThe asymptotic behaviour of parabolic cylinder functions of large real order is considered. ...