A new generating function of (-) Bernstein-type polynomials and their interpolation function.
On multiple interpolation functions of the Nörlund-type -Euler polynomials.
A study on the -adic integral representation on associated with Bernstein and Bernoulli polynomials.
Remarks on sum of products of -twisted Euler polynomials and numbers.
-Genocchi numbers and polynomials associated with -Genocchi-type -functions.
Multivariate interpolation functions of higher-order -Euler numbers and their applications.
Dedekind sums involving Jacobi modular forms and special values of Barnes zeta functions
In this paper we study three new shifted sums of Apostol-Dedekind-Rademacher type. The first sums are written in terms of Jacobi modular forms, and the second sums in terms of cotangent and the third sums are expressed in terms of special values of the Barnes multiple zeta functions. These sums generalize the classical Dedekind-Rademacher sums. The main aim of this paper is to state and prove the Dedekind reciprocity laws satisfied by these new sums. As an application of our Dedekind reciprocity...
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