AbstractWe establish a q-analogue of the Bailey–Borwein–Bradley identity generating accelerated series for even zeta values and prove q-analogues of Markov’s and Amdeberhan’s series for ζ(3) using the q-Markov–WZ method
AbstractBy means of Abel's method on summation by parts, some two term recurrence relations on very ...
AbstractIn this work, the authors present several formulas which compute the following Euler’s type ...
AbstractWe consider the q-analogue of the Euler zeta function which is defined byζq,E(s)=[2]q∑n=1∞(−...
AbstractRecently, R. Tauraso established finite p-analogues of Apéryʼs famous series for ζ(2) and ζ(...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
AbstractWe give a short proof of Miki's identity for Bernoulli numbers,∑i=2n-2βiβn-i-∑i=2n-2niβiβn-i...
AbstractWe consider some parametrized classes of multiple sums first studied by Euler. Identities be...
AbstractUsing the WZ-method we find some of the easiest Ramanujan's formulae and also some new inter...
AbstractWe present several congruences for sums of the type ∑k=1p−1mkk−r(2kk)−1, modulo a power of a...
AbstractWe shall extract the essence of the Adamchik–Srivastava generating function method (Analysis...
AbstractIn this note, we obtain the following identities,∑a+b+c=nζ(2a,2b,2c)=58ζ(2n)−14ζ(2)ζ(2n−2),f...
AbstractWe prove that for any nonnegative integers n and r the binomial sum∑k=−nn(2nn−k)k2r is divis...
AbstractWe show that the use of generalized multivariable forms of Hermite polynomials provide a use...
AbstractIn this note, we present two sufficient conditions for determining the signs of three-term r...
AbstractThe precise Sobolev exponent s∞(φn) of the Butterworth refinable function φn associated with...
AbstractBy means of Abel's method on summation by parts, some two term recurrence relations on very ...
AbstractIn this work, the authors present several formulas which compute the following Euler’s type ...
AbstractWe consider the q-analogue of the Euler zeta function which is defined byζq,E(s)=[2]q∑n=1∞(−...
AbstractRecently, R. Tauraso established finite p-analogues of Apéryʼs famous series for ζ(2) and ζ(...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
AbstractWe give a short proof of Miki's identity for Bernoulli numbers,∑i=2n-2βiβn-i-∑i=2n-2niβiβn-i...
AbstractWe consider some parametrized classes of multiple sums first studied by Euler. Identities be...
AbstractUsing the WZ-method we find some of the easiest Ramanujan's formulae and also some new inter...
AbstractWe present several congruences for sums of the type ∑k=1p−1mkk−r(2kk)−1, modulo a power of a...
AbstractWe shall extract the essence of the Adamchik–Srivastava generating function method (Analysis...
AbstractIn this note, we obtain the following identities,∑a+b+c=nζ(2a,2b,2c)=58ζ(2n)−14ζ(2)ζ(2n−2),f...
AbstractWe prove that for any nonnegative integers n and r the binomial sum∑k=−nn(2nn−k)k2r is divis...
AbstractWe show that the use of generalized multivariable forms of Hermite polynomials provide a use...
AbstractIn this note, we present two sufficient conditions for determining the signs of three-term r...
AbstractThe precise Sobolev exponent s∞(φn) of the Butterworth refinable function φn associated with...
AbstractBy means of Abel's method on summation by parts, some two term recurrence relations on very ...
AbstractIn this work, the authors present several formulas which compute the following Euler’s type ...
AbstractWe consider the q-analogue of the Euler zeta function which is defined byζq,E(s)=[2]q∑n=1∞(−...
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