A NEW FAMILY OF ANALYTIC FUNCTIONS DEFINED BY MEANS OF RODRIGUES TYPE FORMULA

Creative Commons License

AKTAŞ R., Altin A., TAŞDELEN YEŞİLDAL F.

MATHEMATICA SLOVACA, vol.68, no.3, pp.607-616, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 68 Issue: 3
  • Publication Date: 2018
  • Doi Number: 10.1515/ms-2017-0128
  • Journal Name: MATHEMATICA SLOVACA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.607-616
  • Keywords: Rodrigues formula, recurrence relation, generating function, bilateral and bilinear generating function, differential equation, Hermite polynomial, MULTIVARIABLE EXTENSION, GENERATING-FUNCTIONS, POLYNOMIALS, VARIABLES, HERMITE
  • Ankara University Affiliated: Yes

Abstract

In this article, a class of analytic functions is investigated and their some properties are established. Several recurrence relations and various classes of bilinear and bilateral generating functions for these analytic functions are also derived. Examples of some members belonging to this family of analytic functions are given and differential equations satisfied by these functions are also obtained. (C) 2018 Mathematical Institute Slovak Academy of Sciences