Add to ORKGBy means of finite differences and partial fraction decomposition, we establish two binomial transformations, that extend, with four free parameters, the results due to Prodinger (2010) and Dahlbers-Ferdinands-Tefera (2010)
We modify the recent method of J.-M. Deshouillers and H. Iwaniec in the theory of uniform distributi...
AbstractRecently, R. Tauraso established finite p-analogues of Apéryʼs famous series for ζ(2) and ζ(...
In this paper, we derive sums and alternating sums of products of terms ofthe sequences $\left\{ g_{...
AbstractAs a generalization of Calkin's identity and its alternating form, we compute a kind of bino...
AbstractIn this note, we compute three summations involving a power function and a partial sum of th...
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...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
AbstractBy applying the duplicate form of Carlitz inversions to three special cases of the q-Saalsch...
By means of fractional calculus techniques, we find explicit solutions of the modified hydrogen atom...
AbstractIn this paper, we prove some identities for the alternating sums of squares and cubes of the...
AbstractIn this paper we solve the Jensen type functional equation nn−2k−2fx1+⋯+xnn+n−2k−1∑i=1nf(xi)...
AbstractWe present some variations on the Greene–Krammerʼs identity which involve q-Catalan numbers....
When approximating the functions from class H1 there appear the asymptotic expansions, whose coeffi...
AbstractWe consider some parametrized classes of multiple sums first studied by Euler. Identities be...
We modify the recent method of J.-M. Deshouillers and H. Iwaniec in the theory of uniform distributi...
AbstractRecently, R. Tauraso established finite p-analogues of Apéryʼs famous series for ζ(2) and ζ(...
In this paper, we derive sums and alternating sums of products of terms ofthe sequences $\left\{ g_{...
AbstractAs a generalization of Calkin's identity and its alternating form, we compute a kind of bino...
AbstractIn this note, we compute three summations involving a power function and a partial sum of th...
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...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
AbstractBy applying the duplicate form of Carlitz inversions to three special cases of the q-Saalsch...
By means of fractional calculus techniques, we find explicit solutions of the modified hydrogen atom...
AbstractIn this paper, we prove some identities for the alternating sums of squares and cubes of the...
AbstractIn this paper we solve the Jensen type functional equation nn−2k−2fx1+⋯+xnn+n−2k−1∑i=1nf(xi)...
AbstractWe present some variations on the Greene–Krammerʼs identity which involve q-Catalan numbers....
When approximating the functions from class H1 there appear the asymptotic expansions, whose coeffi...
AbstractWe consider some parametrized classes of multiple sums first studied by Euler. Identities be...
We modify the recent method of J.-M. Deshouillers and H. Iwaniec in the theory of uniform distributi...
AbstractRecently, R. Tauraso established finite p-analogues of Apéryʼs famous series for ζ(2) and ζ(...
In this paper, we derive sums and alternating sums of products of terms ofthe sequences $\left\{ g_{...