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ON A p-ADIC INTERPOLATING FUNCTION FOR THE GENERALIZED GENOCCHI NUMBERS AND ITS BEHAVIOUR AT s=0
(CHARLES BABBAGE RES CTR, 2015-07)
In this work, we consider the generalized Genocchi numbers and polynomials. However, we introduce analytic interpolating function for the generalized Genocchi numbers attached to chi at negative integers in complex plane ...
Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the p-Laplacian operator
(SPRINGER INTERNATIONAL PUBLISHING AG, 2015-02-11)
In this article, we investigate the existence of a solution arising from the following fractional q-difference boundary value problem by using the p-Laplacian operator: D-q(gamma)(phi(p)(D(q)(delta)y(t))) + f(t,y(t)) = 0 ...
A Class of Generating Functions for a New Generalization of Eulerian Polynomials with their Interpolation Functions
(UNIV NIS, 2016)
Motivated by a number of recent investigations, we define and investigate the various properties of a new family of the Eulerian polynomials. We derive useful results involving these Eulerian polynomials including (for ...
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 ...
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 ...
