Add to ORKGAbstract In this paper, using the Steklov function, we introduce the generalized continuity modulus and define the class of functions W r,k p,ϕ in the space L p . For this class, we prove an analog of the estimates i
AbstractWe introduce multiple q-Mahler measures and we calculate some specific examples, where multi...
AbstractThis is an addendum to the paper [K. Bacher, K.T. Sturm, Localization and tensorization prop...
AbstractIn this paper, we consider two types of extended Euler sums:Ep,q(k)=∑n=1∞1nq∑r=1kn1rp,Tp,q(k...
We extend some results of Euler related sums. Integral and closed form representation of sums with p...
AbstractA singular integral equation with a Holderian second member function on [a,b] is considered ...
AbstractWe prove that for any nonnegative integers n and r the binomial sum∑k=−nn(2nn−k)k2r is divis...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
AbstractLet [x] be the integral part of x. Let p>5 be a prime. In the paper we mainly determine ∑x=1...
Through chaos decomposition we improve the Varadhan estimate for the rate of convergence of the cen...
AbstractRecently, R. Tauraso established finite p-analogues of Apéryʼs famous series for ζ(2) and ζ(...
AbstractIn this work we investigate Plancherel–Rotach type asymptotics for some q-series as q→1 in a...
We obtain complete asymptotic expansions for the exact upper bounds of the approximations of functio...
AbstractWe present several congruences for sums of the type ∑k=1p−1mkk−r(2kk)−1, modulo a power of a...
The aim of this research note is a new summation formula for the series ${}_3F_2big(tfrac12big)$. T...
AbstractLet φ(q)=∑n=−∞∞qn2 (|q|<1). For k∈N it is shown that there exist k rational numbers A(k,0),…...
AbstractWe introduce multiple q-Mahler measures and we calculate some specific examples, where multi...
AbstractThis is an addendum to the paper [K. Bacher, K.T. Sturm, Localization and tensorization prop...
AbstractIn this paper, we consider two types of extended Euler sums:Ep,q(k)=∑n=1∞1nq∑r=1kn1rp,Tp,q(k...
We extend some results of Euler related sums. Integral and closed form representation of sums with p...
AbstractA singular integral equation with a Holderian second member function on [a,b] is considered ...
AbstractWe prove that for any nonnegative integers n and r the binomial sum∑k=−nn(2nn−k)k2r is divis...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
AbstractLet [x] be the integral part of x. Let p>5 be a prime. In the paper we mainly determine ∑x=1...
Through chaos decomposition we improve the Varadhan estimate for the rate of convergence of the cen...
AbstractRecently, R. Tauraso established finite p-analogues of Apéryʼs famous series for ζ(2) and ζ(...
AbstractIn this work we investigate Plancherel–Rotach type asymptotics for some q-series as q→1 in a...
We obtain complete asymptotic expansions for the exact upper bounds of the approximations of functio...
AbstractWe present several congruences for sums of the type ∑k=1p−1mkk−r(2kk)−1, modulo a power of a...
The aim of this research note is a new summation formula for the series ${}_3F_2big(tfrac12big)$. T...
AbstractLet φ(q)=∑n=−∞∞qn2 (|q|<1). For k∈N it is shown that there exist k rational numbers A(k,0),…...
AbstractWe introduce multiple q-Mahler measures and we calculate some specific examples, where multi...
AbstractThis is an addendum to the paper [K. Bacher, K.T. Sturm, Localization and tensorization prop...
AbstractIn this paper, we consider two types of extended Euler sums:Ep,q(k)=∑n=1∞1nq∑r=1kn1rp,Tp,q(k...