An application of generalized distribution series on certain subclasses of univalent functions

YALÇIN TOKGÖZ S., Marimuthu K., Uma J.

Boletin de la Sociedad Matematica Mexicana, vol.30, no.1, 2024 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 1
  • Publication Date: 2024
  • Doi Number: 10.1007/s40590-023-00575-3
  • Journal Name: Boletin de la Sociedad Matematica Mexicana
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, DIALNET
  • Keywords: Complex order, Generalized distribution, Integral operator, Univalent function
  • Bursa Uludag University Affiliated: Yes

Abstract

In this study, we establish a relation between particular subclasses of complex-order univalent functions and generalized distribution series. The main aim of the present investigation is to obtain the necessary and sufficient conditions for generalized distribution series Pψ(z) belong to the classes S(δ, η, β) and R(δ, η, β) . We also provide some properties of integral operator connected to generalized distribution series and sufficient conditions for Fψ(z) to be in K(η, δ) and R(η, δ) . Also we discuss some corollaries and consequences of the major results.