The purpose of this paper is to investigate some properties of q-Euler numbers and polynomials with weight 0. From those q-Euler numbers with weight 0, we derive some identities on the q-Euler numbers and polynomials with weight 0
AbstractIn 1992, Strauss, Shallit and Zagier proved that for any positive integer a,∑k=03a−1(2kk)≡0(...
AbstractIn this paper we consider non-linear differential equations which are closely related to the...
AbstractIn this sequel to our recent note [D. Cvijović, Values of the derivatives of the cotangent a...
AbstractWe consider the q-analogue of the Euler zeta function which is defined byζq,E(s)=[2]q∑n=1∞(−...
AbstractThe purpose of this work is to give some identities of q-Euler numbers and polynomials. Fina...
AbstractWe present some variations on the Greene–Krammerʼs identity which involve q-Catalan numbers....
AbstractWe introduce multiple q-Mahler measures and we calculate some specific examples, where multi...
AbstractIn this paper we study a two-variable p-adic q–l-function lp,q(s,t|χ) for Dirchlet's charact...
AbstractFor m>n≥0 and 1≤d≤m, it is shown that the q-Euler number E2m(q) is congruent to qm−nE2n(q)mo...
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 find an enumeration formula for a (t,q)-Euler number which is a generalization of the q-E...
AbstractLet [x] be the integral part of x. Let p>5 be a prime. In the paper we mainly determine ∑x=1...
AbstractWe investigate some arithmetic properties of the q-Fibonacci numbers and the q-Pell numbers
AbstractIn this paper, we prove a new identity for the product of two partial theta functions. An im...
AbstractThe p-adic invariant q-integral on Zp was originally constructed by T. Kim [T. Kim, On a q-a...
AbstractIn 1992, Strauss, Shallit and Zagier proved that for any positive integer a,∑k=03a−1(2kk)≡0(...
AbstractIn this paper we consider non-linear differential equations which are closely related to the...
AbstractIn this sequel to our recent note [D. Cvijović, Values of the derivatives of the cotangent a...
AbstractWe consider the q-analogue of the Euler zeta function which is defined byζq,E(s)=[2]q∑n=1∞(−...
AbstractThe purpose of this work is to give some identities of q-Euler numbers and polynomials. Fina...
AbstractWe present some variations on the Greene–Krammerʼs identity which involve q-Catalan numbers....
AbstractWe introduce multiple q-Mahler measures and we calculate some specific examples, where multi...
AbstractIn this paper we study a two-variable p-adic q–l-function lp,q(s,t|χ) for Dirchlet's charact...
AbstractFor m>n≥0 and 1≤d≤m, it is shown that the q-Euler number E2m(q) is congruent to qm−nE2n(q)mo...
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 find an enumeration formula for a (t,q)-Euler number which is a generalization of the q-E...
AbstractLet [x] be the integral part of x. Let p>5 be a prime. In the paper we mainly determine ∑x=1...
AbstractWe investigate some arithmetic properties of the q-Fibonacci numbers and the q-Pell numbers
AbstractIn this paper, we prove a new identity for the product of two partial theta functions. An im...
AbstractThe p-adic invariant q-integral on Zp was originally constructed by T. Kim [T. Kim, On a q-a...
AbstractIn 1992, Strauss, Shallit and Zagier proved that for any positive integer a,∑k=03a−1(2kk)≡0(...
AbstractIn this paper we consider non-linear differential equations which are closely related to the...
AbstractIn this sequel to our recent note [D. Cvijović, Values of the derivatives of the cotangent a...