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

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

MATHEMATICA SLOVACA, cilt.68, sa.3, ss.607-616, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 68 Sayı: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1515/ms-2017-0128
  • Dergi Adı: MATHEMATICA SLOVACA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.607-616
  • Anahtar Kelimeler: Rodrigues formula, recurrence relation, generating function, bilateral and bilinear generating function, differential equation, Hermite polynomial, MULTIVARIABLE EXTENSION, GENERATING-FUNCTIONS, POLYNOMIALS, VARIABLES, HERMITE
  • Ankara Üniversitesi Adresli: Evet

Özet

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