Browsing by Author "Esi, Ayhan"
Now showing items 1-7 of 7
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Identities involving 3-variable Hermite polynomials arising from umbral method
Araci, Serkan; Raza, Nusrat; Zainab, Umme; Esi, Ayhan (Springer Science and Business Media Deutschland GmbH, December 2)In this paper, we employ an umbral method to reformulate the 3-variable Hermite polynomials and introduce the 4-parameter 3-variable Hermite polynomials. We also obtain some new properties for these polynomials. Moreover, ... -
Lacunary statistical convergence of Bernstein operator sequences
Araci, Serkan; Esi, Ayhan (INST ADVANCED SCIENCE EXTENSION, 2017-11)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. Recently the statistical convergence of Bernstein operators was studied. In this ... -
Laguerre-based Hermite-Bernoulli polynomials associated with bilateral series
Araci, Serkan; Khan, Waseem Ahmad; Acikgoz, Mehmet; Esi, Ayhan (TBILISI CENTRE MATH SCI, 2018-06)In the paper, we define Laguerre-based Hermite-Bernoulli polynomial with its generating function, and investigate certain properties. From this generating function, we derive summation formulas and related bilateral series ... -
lambda-STATISTICAL CONVERGENCE OF BERNSTEIN POLYNOMIAL SEQUENCES
Araci, Serkan; Esi, Ayhan; Esi, Ayten (MILI PUBL, 2017-01)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 lambda-statistical convergence of sequence ... -
A note on the (p,q)-Hermite polynomials
Duran, Ugur; Acikgoz, Mehmet; Esi, Ayhan; Araci, Serkan (Natural Sciences Publishing USA, 2018-01-01)In this paper, we introduce a new generalization of the Hermite polynomials via (p,q)-exponential generating function and investigate several properties and relations for mentioned polynomials including derivative property, ... -
SOME NEW SYMMETRIC IDENTITIES INVOLVING q-GENOCCHI POLYNOMIALS UNDER S-4
Araci, Serkan; Duran, Ugur; Acikgoz, Mehmet; Esi, Ayhan (UNIV PRISHTINES, 2015)In the paper, we derive some new symmetric identities of q-Genocchi polynomials arising from the fermionic p-adic q-integral on Z(p). -
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 ...
