Dedicated to Professor H. M. Srivastava on the Occasion of his Seventieth Birth Anniversary

We introduce certain integrals of a product of the Bernoulli polynomials and logarithms of Milnor’s multiple sine functions. It is shown that all the integrals are expressed by the Mordell-Tornheim zeta values at positive integers and that the converse is also true. Moreover, we apply the theory of the integral to obtain various new results for the Mordell-Tornheim zeta values.

In this paper we study the Euler polynomials and functions and derive some interesting formulae related to the Euler polynomials and functions. From those formulae we consider Dedekind type DC(Daehee-Changhee)sums and prove reciprocity laws related to DC sums.

In this paper we establish some symmetric identities on a sequence of polynomials in an elementary way, and some known identities involving Bernoulli and Euler numbers and polynomials are obtained as particular cases.

Special polynomials play an important role in several subjects of mathematics, engineering, and theoretical physics. Many problems arising mathematical physics are framed terms differential equations. In this paper, we introduce the family Lagrange-based hypergeometric Bernoulli via generating function method. We state some algebraic properties for extensions polynomials, as well a matrix-inver...

4 T. Buric, N. Elezovic, Bernoulli polynomials and asymptotic expansions of the quotient of gamma functions 0.88665 Journal of Computational and Applied Mathematics, 235 (2011), no. 11, 3315-3331 Computers and Mathematics with Applications, 60 (2010), no. 3, 786-791 C. Mortici, An extension of the Szasz-Mirakjan operators Analele Stiintifice ale Universitatii Ovidius Constanta, 17 (2010), no. 1...