Closed expressions are obtained for sums of products of Kronecker's double series. Corresponding results are derived for functions which are an elliptic analogue of the periodic Euler polynomials. As corollaries, we reproduce the formulas for sums of products of Bernoulli numbers, Bernoulli polynomials, Euler numbers, and Euler polynomials, which were given by K. Dilcher
AbstractWe extend Euler's well-known quadratic recurrence relation for Bernoulli numbers, which can ...
Abstract In this paper, we study sums of finite products of Legendre and Laguerre polynomials and de...
We give a new identity involving Bernoulli polynomials and combinatorial numbers. This provides, in ...
AbstractClosed expressions are obtained for sums of products of Kronecker's double series of the for...
AbstractClosed expressions are obtained for sums of products of Bernoulli numbers of the form[formul...
AbstractIn this paper, by the generating function method, we establish various identities concerning...
AbstractIn this paper we introduce an elliptic analogue of the generalized Dedekind–Rademacher sums ...
In this paper we introduce an elliptic analogue of the generalized Dedekind-Rademacher sums which sa...
AbstractIn this work, the authors present several formulas which compute the following Euler’s type ...
AbstractRecently, the author (Proc. Amer. Math. Soc., 57 1976, 271–275) derived two theorems involvi...
In this paper, a further investigation for the Apostol-Bernoulli and Apostol-Euler polynomials and n...
AbstractIn this paper, we consider a kind of sums involving Cauchy numbers, which have not been stud...
We give an exact coefficients formula of any infinite product of power series with constant term equ...
AbstractAfter having recalled some important results about combinatorics on words, like the existenc...
AbstractEuler's well-known nonlinear relation for Bernoulli numbers, which can be written in symboli...
AbstractWe extend Euler's well-known quadratic recurrence relation for Bernoulli numbers, which can ...
Abstract In this paper, we study sums of finite products of Legendre and Laguerre polynomials and de...
We give a new identity involving Bernoulli polynomials and combinatorial numbers. This provides, in ...
AbstractClosed expressions are obtained for sums of products of Kronecker's double series of the for...
AbstractClosed expressions are obtained for sums of products of Bernoulli numbers of the form[formul...
AbstractIn this paper, by the generating function method, we establish various identities concerning...
AbstractIn this paper we introduce an elliptic analogue of the generalized Dedekind–Rademacher sums ...
In this paper we introduce an elliptic analogue of the generalized Dedekind-Rademacher sums which sa...
AbstractIn this work, the authors present several formulas which compute the following Euler’s type ...
AbstractRecently, the author (Proc. Amer. Math. Soc., 57 1976, 271–275) derived two theorems involvi...
In this paper, a further investigation for the Apostol-Bernoulli and Apostol-Euler polynomials and n...
AbstractIn this paper, we consider a kind of sums involving Cauchy numbers, which have not been stud...
We give an exact coefficients formula of any infinite product of power series with constant term equ...
AbstractAfter having recalled some important results about combinatorics on words, like the existenc...
AbstractEuler's well-known nonlinear relation for Bernoulli numbers, which can be written in symboli...
AbstractWe extend Euler's well-known quadratic recurrence relation for Bernoulli numbers, which can ...
Abstract In this paper, we study sums of finite products of Legendre and Laguerre polynomials and de...
We give a new identity involving Bernoulli polynomials and combinatorial numbers. This provides, in ...