Add to ORKGWe give explicit formulæ for sums of even powers of secant and cosecant values in terms of Bernoulli numbers and central factorial numbers.Keywords: Secant sums; cosecant sums; Bernoulli-Nörlund polynomials, exact formulasQuaestiones Mathematicae 30(2007), 159–16
In a recent paper [Montes Taurus J. Pure Appl. Math. 3 (1) (2021), 38–61] we defined the class of c...
An investigation of the origin of the formulas for the sums of integer powers was performed. A metho...
AbstractWe prove a general symmetric identity involving the degenerate Bernoulli polynomials and sum...
AbstractWe observe that the classical Faulhaber’s theorem on sums of odd powers also holds for an ar...
AbstractClosed expressions are obtained for sums of products of Bernoulli numbers of the form[formul...
Abstract. We observe that the classical Faulhaber’s theorem on sums of odd powers also holds for an ...
We use contour integrals and the Cauchy residue theorem in order to derive several summation formula...
Finite sums of powers of cosecants appear in a wide range of physical problems. We, through a unifie...
Copyright c © 2014 Jose ́ Luis Cereceda. This is an open access article distributed under the Creati...
Copyright c © 2014 Jose ́ Luis Cereceda. This is an open access article distributed under the Creati...
We prove some identities involving tangents, secants, and cosecants of infinite sums
AbstractIn this work, the authors present several formulas which compute the following Euler’s type ...
Recently, a half-dozen remarkably general families of the finite trigonometric sums were summed in c...
AbstractElementary methods are used to study sums of the form Σd≤x{xd}t for integers p and t, t > 0,...
We give a new identity involving Bernoulli polynomials and combinatorial numbers. This provides, in ...
In a recent paper [Montes Taurus J. Pure Appl. Math. 3 (1) (2021), 38–61] we defined the class of c...
An investigation of the origin of the formulas for the sums of integer powers was performed. A metho...
AbstractWe prove a general symmetric identity involving the degenerate Bernoulli polynomials and sum...
AbstractWe observe that the classical Faulhaber’s theorem on sums of odd powers also holds for an ar...
AbstractClosed expressions are obtained for sums of products of Bernoulli numbers of the form[formul...
Abstract. We observe that the classical Faulhaber’s theorem on sums of odd powers also holds for an ...
We use contour integrals and the Cauchy residue theorem in order to derive several summation formula...
Finite sums of powers of cosecants appear in a wide range of physical problems. We, through a unifie...
Copyright c © 2014 Jose ́ Luis Cereceda. This is an open access article distributed under the Creati...
Copyright c © 2014 Jose ́ Luis Cereceda. This is an open access article distributed under the Creati...
We prove some identities involving tangents, secants, and cosecants of infinite sums
AbstractIn this work, the authors present several formulas which compute the following Euler’s type ...
Recently, a half-dozen remarkably general families of the finite trigonometric sums were summed in c...
AbstractElementary methods are used to study sums of the form Σd≤x{xd}t for integers p and t, t > 0,...
We give a new identity involving Bernoulli polynomials and combinatorial numbers. This provides, in ...
In a recent paper [Montes Taurus J. Pure Appl. Math. 3 (1) (2021), 38–61] we defined the class of c...
An investigation of the origin of the formulas for the sums of integer powers was performed. A metho...
AbstractWe prove a general symmetric identity involving the degenerate Bernoulli polynomials and sum...