Browsing İİSBF - İKT Makale Koleksiyonu by Issue Date
Now showing items 21-40 of 171
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On a q-analog of some numbers and polynomials
(SPRINGER INTERNATIONAL PUBLISHING AG, 2015-01-20)In this paper, we introduce new q-analogs of the Changhee numbers and polynomials of the first kind and of the second kind. We also derive some new interesting identities related to the Stirling numbers of the first kind ... -
A note on the values of weighted q-Bernstein polynomials and weighted q-Genocchi numbers
(SPRINGEROPEN, 2015-01-31)The rapid development of q-calculus has led to the discovery of new generalizations of Bernstein polynomials and Genocchi polynomials involving q-integers. The present paper deals with weighted q-Bernstein polynomials (or ... -
Analogues of Newton-Girard power-sum formulas for entire and meromorphic functions with applications to the Riemann zeta function
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2015-02)The Newton power-sum formulas relate to sums of powers of roots of a polynomial with the coefficients of the polynomial. In this paper we obtain formulas that relate to sums of reciprocal powers of zeros and poles of entire ... -
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 ... -
An analogue of Eulerian polynomials related to L-type function
(MAEJO UNIV, 2015-05)We introduce Dirichlet's type of twisted Eulerian polynomials by using p-adic fermionic q-invairant integral in the p-adic integer ring and obtain some new interesting identities. Using a complex contour integral representation ... -
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 ... -
Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials
(ELSEVIER SCIENCE INC, 2015-07-01)In this paper, we present a further investigation for the Apostol-Bernoulh polynomials and the Apostol-Genocchi polynomials. By making use of the generating function methods and summation transform techniques, we establish ... -
Extended q-Dedekind-type Daehee-Changhee sums associated with extended q-Euler polynomials
(SPRINGEROPEN, 2015-09-04)In the present paper, we aim to specify a p-adic continuous function for an odd prime inside a p-adic q-analog of the extended Dedekind-type sums of higher order according to extended q-Euler polynomials (or weighted q-Euler ... -
On (p,q)-Bernoulli, (p,q)-Euler and (p,q)-genocchi polynomials
(American Scientific Publishers, 2016)In the present paper, we introduce a new kind of Bernoulli, Euler and Genocchi polynomials based on the (p,q)-calculus and investigate their some properties involving addition theorems, difference equations, derivative ... -
Weakly Compatible Maps in Complex Valued Metric Spaces and an Application to Solve Urysohn Integral Equation
(UNIV NIS, 2016)In this paper, we prove common fixed point theorems for a pair of mappings satisfying rational inequality. Also, we prove common fixed point theorems for weakly compatible maps, weakly compatible along with (CLR) and E.A. ... -
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 ... -
A new class of Laguerre-based Apostol type polynomials
(TAYLOR & FRANCIS AS, 2016)In this paper, we introduce a generating function for a new generalization of Laguerre-based Apostol-Bernoulli polynomials, Apostol-Euler and Apostol-Genocchi polynomials. By making use of the generating function method ... -
A study on a class of q-Euler polynomials under the symmetric group of degree n
(INT SCIENTIFIC RESEARCH PUBLICATIONS, 2016)Motivated by the paper of Kim et al. [T. Kim, D. S. Kim, H. I. Kwon, J. J. Seo, D. V. Dolgy, J. Nonlinear Sci. Appl., 9 (2016), 1077-1082], we study a class of q-Euler polynomials earlier given by Kim et al. in [T. Kim, ... -
On some polynomials derived from (p,q)-calculus
(2016)We consider the new generating functions of the Bernoulli, the Euler and the Genocchi polynomials under post quantum calculus. From those generating functions, we analyse the behaviours of the polynomials mentioned in the ... -
Identities Involving Some New Special Polynomials Arising from the Applications of Fractional Calculus
(2016)Inspired by a number of recent investigations, we introduce the new analogues of the Apostol-Bernoulli polynomials and the Apostol-Euler polynomials, the Apostol-Genocchi polynomials based on Mittag-Leffler function. ... -
Spectral Problem for the Sturm-Liouville Operator with Retarded Argument Containing a Spectral Parameter in the Boundary Condition
(2016)In this paper, by modifying some techniques of [S.B. Norkin, Differential equations of the second order with retarded argument, Translations of Mathematical Monographs, Vol. 31, AMS, Providence, RI, 1972] and suggesting ... -
Fixed Point Theorems for Generalized (alpha, psi)-Expansive Mappings in Generalized Metric Spaces
(RGN PUBL, 2016)The aim of this paper is to introduce new notion of generalized (alpha, psi)-expansive mappings in generalized metric spaces and to study the existence of a fixed point for the mappings in this space. Our new notion ... -
Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis
(INT SCIENTIFIC RESEARCH PUBLICATIONS, 2016)In the present paper, we introduce a method in order to obtain some new interesting relations and identities of the Apostol-Bernoulli polynomials of higher order, which are derived from Bernoulli polynomial basis. Finally, ... -
A certain (p, q)-derivative operator and associated divided differences
(SPRINGEROPEN, 2016)Recently, Sofonea (Gen. Math. 16:47-54, 2008) considered some relations in the context of quantum calculus associated with the q-derivative operator D-q and divided difference. As applications of the post-quantum calculus ... -
On the von Staudt-Clausen's theorem related to q-Frobenius-Euler numbers
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2016-02)In this paper, we introduce q-Frobenius-Euler numbers and derive some new properties. From those properties, we show that this number is a p-adic integer, and can be expressed by von Staudt-Clausen's theorem. We also get ...
