Browsing İİSBF  İKT Makale Koleksiyonu by Issue Date
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On a qanalog of some numbers and polynomials
(SPRINGER INTERNATIONAL PUBLISHING AG, 20150120)In this paper, we introduce new qanalogs 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 qBernstein polynomials and weighted qGenocchi numbers
(SPRINGEROPEN, 20150131)The rapid development of qcalculus has led to the discovery of new generalizations of Bernstein polynomials and Genocchi polynomials involving qintegers. The present paper deals with weighted qBernstein polynomials (or ... 
Analogues of NewtonGirard powersum formulas for entire and meromorphic functions with applications to the Riemann zeta function
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 201502)The Newton powersum 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 pLaplacian operator
(SPRINGER INTERNATIONAL PUBLISHING AG, 20150211)In this article, we investigate the existence of a solution arising from the following fractional qdifference boundary value problem by using the pLaplacian operator: Dq(gamma)(phi(p)(D(q)(delta)y(t))) + f(t,y(t)) = 0 ... 
An analogue of Eulerian polynomials related to Ltype function
(MAEJO UNIV, 201505)We introduce Dirichlet's type of twisted Eulerian polynomials by using padic fermionic qinvairant integral in the padic integer ring and obtain some new interesting identities. Using a complex contour integral representation ... 
ON A pADIC INTERPOLATING FUNCTION FOR THE GENERALIZED GENOCCHI NUMBERS AND ITS BEHAVIOUR AT s=0
(CHARLES BABBAGE RES CTR, 201507)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 ApostolBernoulli polynomials and the ApostolGenocchi polynomials
(ELSEVIER SCIENCE INC, 20150701)In this paper, we present a further investigation for the ApostolBernoulh polynomials and the ApostolGenocchi polynomials. By making use of the generating function methods and summation transform techniques, we establish ... 
Extended qDedekindtype DaeheeChanghee sums associated with extended qEuler polynomials
(SPRINGEROPEN, 20150904)In the present paper, we aim to specify a padic continuous function for an odd prime inside a padic qanalog of the extended Dedekindtype sums of higher order according to extended qEuler polynomials (or weighted qEuler ... 
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 Laguerrebased Apostol type polynomials
(TAYLOR & FRANCIS AS, 2016)In this paper, we introduce a generating function for a new generalization of Laguerrebased ApostolBernoulli polynomials, ApostolEuler and ApostolGenocchi polynomials. By making use of the generating function method ... 
A study on a class of qEuler 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), 10771082], we study a class of qEuler 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 ApostolBernoulli polynomials and the ApostolEuler polynomials, the ApostolGenocchi polynomials based on MittagLeffler function. ... 
Spectral Problem for the SturmLiouville 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 ApostolBernoulli 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 ApostolBernoulli 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. 16:4754, 2008) considered some relations in the context of quantum calculus associated with the qderivative operator Dq and divided difference. As applications of the postquantum calculus ... 
On the von StaudtClausen's theorem related to qFrobeniusEuler numbers
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 201602)In this paper, we introduce qFrobeniusEuler numbers and derive some new properties. From those properties, we show that this number is a padic integer, and can be expressed by von StaudtClausen's theorem. We also get ...