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, cilt.30, sa.1, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1007/s40590-023-00575-3
  • Dergi Adı: Boletin de la Sociedad Matematica Mexicana
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: Complex order, Generalized distribution, Integral operator, Univalent function
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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.