Geometric Properties of Generalized Integral Operators Related to The Miller–Ross Function
      
Yazarlar (3)
Doç. Dr. Sercan KAZIMOĞLU Kafkas Üniversitesi, Türkiye
Prof. Dr. Erhan DENİZ Kafkas Üniversitesi, Türkiye
Luminita Ioana Cotirla Universitatea Tehnica Din Cluj-Napoca, Romanya
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Axioms (Q1)
Dergi ISSN 2075-1680 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 06-2023
Cilt / Sayı / Sayfa 12 / 6 / 1–18 DOI 10.3390/axioms12060563
Makale Linki http://dx.doi.org/10.3390/axioms12060563
Özet
It is very well-known that the special functions and integral operators play a vital role in the research of applied and mathematical sciences. In this paper, our aim is to present sufficient conditions for the families of integral operators containing the normalized forms of the Miller–Ross functions such that they can be univalent in the open unit disk. Moreover, we find the convexity order of these operators. In proof of results, we use some differential inequalities related with Miller–Ross functions and well-known lemmas. The various results, which are established in this paper, are presumably new, and their importance is illustrated by several interesting consequences and examples.
Anahtar Kelimeler
analytic functions | convexity | integral operators | Miller–Ross functions | special functions | univalence | univalent functions