Turkish Journal of Analysis and Number Theory

5

Authors: Kastriot Zoto, Elida Hoxha, Panda Sumati Kumari

In this paper we prove some fixed point theorems for one and two pairs of selfmaps which are occasionally weakly compatible and satisfy a “max” and contractive conditions. Also, some existing results are derived as corollaries from theorems of this paper in the framework of dislocated metric spaces.

6

Authors: M.T. Yahyapour, S.A. Edalatpanah

In this paper, we present an efficient numerical method for solving the linear complementarity problems based on preconditioning strategy. Furthermore, the convergence properties of the proposed method have been analyzed and compared with symmetric successive over-relaxation (SSOR) method. Finally, some numerical experiments are illustrated to show the efficiency of the proposed method.

8

Authors: Roberto B. Corcino, Harren Jaylo-Campos, Amila P. Macodi-Ringia

The noncentral Stirling numbers of the first and second kind are certain generalization of the classical Stirling numbers of both kinds. In this paper, a kind of generalized Bell numbers, called noncentral Bell numbers, are defined in terms of noncentral Stirling numbers of the second kind. Some properties parallel to the ordinary Bell numbers are established including the Hankel transform of noncentral Bell numbers. Moreover, an alternative proof for the Hankel transform of (r, β)-Bell numbers is presented.

3

Authors: Yashwant K. Panwar, Mamta Singh

In this study, we present certain properties of Generalized Fibonacci sequence. Generalized Fibonacci sequence is defined by recurrence relation . This was introduced by Gupta, Panwar and Sikhwal. We shall use the Induction method and Binet’s formula and give several interesting identities involving them.

4

Authors: Pankaj Kumar Mishra, Shweta Sachdeva, S. K. Banerjee

In this paper we have obtained some fixed point theorems on b- metric space which is an extension of a fixed point theorem by Hardy [13] and Reich [20].

6

Authors: Mohamed Ould Douh Benough

In this paper, we generalize a Goss result appeared in ([5], page 325, line 19, for i=1 ), and give a characterization of some numbers of Bernoulli-Goss [5] by introducing the special numbers M(d).

3

Authors: Serkan Araci, Mehmet Acikgoz, Armen Bagdasaryan, Erdoğan Şen

In the present paper, we deal mainly with arithmetic properties of Legendre polynomials by using their orthogonality property. We show that Legendre polynomials are proportional with Bernoulli, Euler, Hermite and Bernstein polynomials.

4

Authors: Erdoğan Şen, Mehmet Acikgoz, Serkan Araci

The p-adic log gamma functions associated with q-extensions of Genocchi and Euler polynomials with weight α were recently studied . By the same motivation, we aim in this paper to describe q-analogue of p-adic log gamma functions with weight alpha and beta. Moreover, we give relationship between p-adic q-log gamma functions with weight (α,β) and q-extension of Genocchi numbers with weight alpha and beta and modified q-Euler numbers with weight α.

4

Authors: Jin-Woo Park, Seog-Hoon Rim, Jongkyum Kwon

We consider the hyper-geometric Daehee numbrers and polynomials and investigate some properties of those numbers and polynomials.

5

Authors: Yashwant K. Panwar, B. Singh, V.K. Gupta

In this study, we present generalized Fibonacci polynomials. We have used their Binet’s formula and generating function to derive the identities. The proofs of the main theorems are based on special functions, simple algebra and give several interesting properties involving them.

6

Authors: Serkan Araci, Mehmet Acikgoz, Erdoğan Şen

In the present paper, we deal with multiple generalized Genocchi numbers and polynomials. Also, we introduce analytic interpolating function for the multiple generalized Genocchi numbers attached to χ at negative integers in complex plane and we de.ne the multiple Genocchi p-adic L-function. Finally, we derive the value of the partial derivative of our multiple p-adic l-function at s = 0.

6

Authors: Chii-Huei Yu

This article takes the mathematical software Maple as the auxiliary tool to study the partial differential problem of two types of multivariable functions. We can obtain the infinite series forms of any order partial derivatives of these two types of functions by using differentiation term by term theorem, and hence greatly reduce the difficulty of calculating their higher order partial derivative values. On the other hand, we propose two examples to do calculation practically. The research methods adopted in this study involved finding solutions through manual calculations and verifying our answers by using Maple.

10

Authors: H. M. Srivastava, Min-Jie Luo, R. K. Raina

In this paper, we study a certain class of generalized Hurwitz-Lerch zeta functions. We derive several new and useful properties of these generalized Hurwitz-Lerch zeta functions such as (for example) their partial differential equations, new series and Mellin-Barnes type contour integral representations involving Fox’s H-function and a pair of summation formulas. More importantly, by considering their application in Number Theory, we construct a new continuous analogue of Lippert’s Hurwitz measure. Some statistical applications are also given.