We derive inequalities and a complete asymptotic expansion for the Landau constants Gn, as nusing the asymptotic sequence n!/(n+k)!. We also introduce a q-Analogue of the Landau constants and calculate their large degree asymptotics. In the process, we also establish q-Analogues of identities due to Ramanujan and Bailey
AbstractWe establish a large n complete asymptotic expansion for q-Laguerre polynomials and a comple...
© 2018, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia. Starting wit...
AbstractLet p(nS) be the number of partitions of n with parts belonging to the set S; let q(nS) be t...
We derive inequalities and a complete asymptotic expansion for the Landau constants G(n), as n - \u3...
We examine the Landau constants defined by G(n) := Sigma(n)(m=0) 1/2(4m) ((m) (2m))(2) (n = 0, 1, 2,...
AbstractWe demonstrate how arbitrarily sharp asymptotic expansions for the Landau constants can be d...
AbstractIn this paper we derive a family of asymptotic expansions for the nth Landau constant Gn. Th...
AbstractWe establish several sharp two-sided inequalities involving the constants of Landau and Lebe...
Recently, an analogue over Fq[T] of Landau’s theorem on sums of two squares was considered by Bary-S...
AbstractWe establish a q-analogue of the Bailey–Borwein–Bradley identity generating accelerated seri...
We present an algorithm which computes the Landau constant up to any givenprecision
F.H. Jackson defined a q-analogue of the factorial n! = 1∙2∙3 ⋯ n as (n!)q = 1∙ (1 + q) ∙ (1 + q + q...
AbstractIn this paper, we establish approximation formulas for evaluating Landauʼs constants
AbstractAn additive form of the Landau inequality forf∈Wn∞[−1,1],‖f(m)‖⩽1cm1−mnT(m)n(1)‖f‖+cn−m2n−1n...
In this survey we present our recent results on analysis of gamma function and related functions. T...
AbstractWe establish a large n complete asymptotic expansion for q-Laguerre polynomials and a comple...
© 2018, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia. Starting wit...
AbstractLet p(nS) be the number of partitions of n with parts belonging to the set S; let q(nS) be t...
We derive inequalities and a complete asymptotic expansion for the Landau constants G(n), as n - \u3...
We examine the Landau constants defined by G(n) := Sigma(n)(m=0) 1/2(4m) ((m) (2m))(2) (n = 0, 1, 2,...
AbstractWe demonstrate how arbitrarily sharp asymptotic expansions for the Landau constants can be d...
AbstractIn this paper we derive a family of asymptotic expansions for the nth Landau constant Gn. Th...
AbstractWe establish several sharp two-sided inequalities involving the constants of Landau and Lebe...
Recently, an analogue over Fq[T] of Landau’s theorem on sums of two squares was considered by Bary-S...
AbstractWe establish a q-analogue of the Bailey–Borwein–Bradley identity generating accelerated seri...
We present an algorithm which computes the Landau constant up to any givenprecision
F.H. Jackson defined a q-analogue of the factorial n! = 1∙2∙3 ⋯ n as (n!)q = 1∙ (1 + q) ∙ (1 + q + q...
AbstractIn this paper, we establish approximation formulas for evaluating Landauʼs constants
AbstractAn additive form of the Landau inequality forf∈Wn∞[−1,1],‖f(m)‖⩽1cm1−mnT(m)n(1)‖f‖+cn−m2n−1n...
In this survey we present our recent results on analysis of gamma function and related functions. T...
AbstractWe establish a large n complete asymptotic expansion for q-Laguerre polynomials and a comple...
© 2018, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia. Starting wit...
AbstractLet p(nS) be the number of partitions of n with parts belonging to the set S; let q(nS) be t...