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On the von Staudt-Clausen's theorem associated with q-Genocchi numbers
(ELSEVIER SCIENCE INC, 2014-11-15)
Recently, the von Staudt-Clausen's theorem for q-Euler numbers was introduced by Kim (2013) and q-Genocchi numbers were constructed by Araci et al. (2013). In this paper, we give the corresponding von Staudt-Clausen's ...
Novel identities involving Genocchi numbers and polynomials arising from applications of umbral calculus
(ELSEVIER SCIENCE INC, 2014-05-01)
The aim of this paper is to deal with applications of umbral calculus on fermionic p-adic integral on Z(p). From those applications, we derive some new identities on Genocchi numbers and polynomials. Moreover, a systemic ...
Asymptotic properties of a new Sturm-Liouville problem with retarded argument
(WILEY-BLACKWELL, 2014-11-30)
In this work, we study the asymptotic properties of a new Sturm-Liouville problem with retarded argument. Contrary to previous works, differential equation includes eigenparameter as a quadratic function. In the considered ...
Sums of products of Apostol-Bernoulli and Apostol-Euler polynomials
(SPRINGEROPEN, 2014-05-27)
In this paper, a further investigation for the Apostol-Bernoulli and Apostol-Euler polynomials and numbers is performed. Some closed formulae of sums of products of any number of Apostol-Bernoulli and Apostol-Euler polynomials ...
New Symmetric Identities Involving q-Zeta Type Functions
(NATURAL SCIENCES PUBLISHING CORP-NSP, 2014-11)
The main object of this paper is to obtain several symmetric properties of the q-zeta type functions. As applications of these properties, we give some new interesting identities for the modified q-Genocchi polynomials. ...
