Browsing by Author "Açıkgöz, Mehmet"
Now showing items 1-5 of 5
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Identities Involving Some New Special Polynomials Arising from the Applications of Fractional Calculus
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. ... -
A new class of partially degenerate Hermite-Genocchi polynomials
In this paper, firstly we introduce not only partially degenerate Hermite-Genocchi polynomials, but also a new generalization of degenerate Hermite-Genocchi polynomials. Secondly, we investigate some behaviors of these ... -
On some polynomials derived from (p,q)-calculus
Aracı, Serkan; Duran, Uğur; Açıkgöz, Mehmet (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 ... -
Spectral Problem for the Sturm-Liouville Operator with Retarded Argument Containing a Spectral Parameter in the Boundary Condition
Aracı, Serkan; Şen, Erdoğan; Açıkgöz, Mehmet (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 ... -
Statistical convergence of Bernstein operators
Aracı, Serkan; Esi, Ayhan; Açıkgöz, Mehmet (2016-11)The Bernstein operator is one of the important topics of approximation theory in which it has been studied in great details for a long time. The aim of this paper is to study the statistical convergence of sequence of ...
