Yazar "Aracı, Serkan" için listeleme

A new generalization of Apostol type Hermite–Genocchi polynomials and its applications
Aracı, Serkan; Khan, Waseem A.; Açıkgöz, Mehmet; Özel, Cenap; Kumam, Poom (Springer, 201612)By using the modified MilneThomson’s polynomial given in Araci et al. (Appl Math Inf Sci 8(6):2803–2808, 2014), we introduce a new concept of the Apostol Hermite–Genocchi polynomials. We also perform a further investigation ... 
Analogues of Newton–Girard powersum formulas for entire and meromorphic functions with applications to the Riemann zeta function
Bagdasaryan, Armen; Aracı, Serkan; Açıkgöz, Mehmet; Srivastava, H.M. (Elsevier, 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 for a solution of pseudohyperbolic equation with nonlocal boundary condition
Merad, Ahcene; Bouziani, Abdelfatah; Aracı, Serkan (Natural Sciences Publishing Co., 2015)Motivated by a number of recent investigations, we define and investigate the various properties of a class of pseudohyperbolic equation defined on purely integral (nonlocal) conditions. We derive useful results involving ... 
Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the pLaplacian operator
Aracı, Serkan; Şen, Erdoğan; Açıkgöz, Mehmet; Srivastava, H.M. (Springer, 2015)In this article, we investigate the existence of a solution arising from the following fractional qdifference boundary value problem by using the pLaplacian operator: (Formula presented.). We make use of such a fractional ... 
Extended qDedekindtype DaeheeChanghee sums associated with extended qEuler polynomials
Aracı, Serkan; Özer, Özen (Springer, 201512)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 ... 
Identities involving some new special polynomials arising from the applications of fractional calculus
Aracı, Serkan; Şen, Erdoǧan; Açıkgöz, Mehmet; Oruçoǧlu, Kamil (Natural Sciences Publishing Co., 2015)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. Making ... 
New symmetric identities involving qzeta type functions
Aracı, Serkan; Bagdasaryan, Armen; Özel, Cenap; Srivastava, H.M. (Natural Sciences Publishing Co., 2014)The main object of this paper is to obtain several symmetric properties of the qzeta type functions. As applications of these properties, we give some new interesting identities for the modified qGenocchi polynomials. ... 
A note on the values of weighted qBernstein polynomials and weighted qGenocchi numbers
Aracı, Serkan; Açıkgöz, Mehmet (2015)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 ... 
Novel identities involving Genocchi numbers and polynomials arising from applications of umbral calculus
Aracı, Serkan (Elsevier, 201403)The aim of this paper is to deal with applications of umbral calculus on fermionic padic integral onZp. From those applications, we derive some new identities on Genocchi numbers and polynomials. Moreover, a systemic study ... 
On (p; q)Bernoulli, (p; q)Euler and (p; q)Genocchi polynomials
Duran, Uğur; Açıkgöz, Mehmet; Aracı, Serkan (Yazar Sürümü, 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, di¤erence equations, derivative ... 
On a qanalog of some numbers and polynomials
Aracı, Serkan; Ağyüz, Erkan; Açıkgöz, Mehmet (Springer, 2015)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 ... 
On the von StaudtClausen's theorem associated with qGenocchi numbers
Aracı, Serkan; Açıkgöz, Mehmet; Şen, Erdoğan (Elsevier, 201411)Recently, the von StaudtClausen's theorem for qEuler numbers was introduced by Kim (2013) and qGenocchi numbers were constructed by Araci et al. (2013). In this paper, we give the corresponding von StaudtClausen's ... 
On the von Staudt–Clausen's theorem related to qFrobenius–Euler numbers
Aracı, Serkan; Açıkgöz, Mehmet (201602)In this paper, we introduce qFrobenius–Euler numbers and derive some new properties. From those properties, we show that this number is a padic integer, and can be expressed by von Staudt–Clausen's theorem. We also get ... 
Recent Trends in Special Numbers and Special Functions and Polynomials
Aracı, Serkan; Açıkgöz, Mehmet; Özel, Cenap; Srivastava, H.M.; Diagana, Toka (Hindawi Publishing Corporation, 2015)[No abstract available] 
Some new identities for the ApostolBernoulli polynomials and the ApostolGenocchi polynomials
He, Yuan; Aracı, Serkan; Srivastava, H.M.; Açıkgöz, Mehmet (Elsevier, 201507)In this paper, we present a further investigation for the ApostolBernoulli polynomials and the ApostolGenocchi polynomials. By making use of the generating function methods and summation transform techniques, we establish ... 
Some new identities on the ApostolBernoulli polynomials of higher order derived from Bernoulli basis
Bagdasaryan, Armen; Aracı, Serkan; Açıkgöz, Mehmet; He, Yuan (International 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, ... 
Summation formulas for the products of the Frobenius–Euler polynomials
He, Yuan; Aracı, Serkan; Srivastava, H. M. (Springer, 201607)We present here a further investigation for the classical Frobenius–Euler polynomials. By making use of the generating function methods and summation transform techniques, we establish some summation formulas for the ... 
Symmetric identities involving weighted qGenocchi polynomials under s4
Duran, Uğur; Açıkgöz, Mehmet; Aracı, Serkan (Jangjeon Research Institute for Mathematical Sciences and Physics, 2015)In the paper, wo obtain some new symmetric identities of weighted gGenocchi polynomials using the fermionic padic qintegral on Zp.