Uniformly starlike functions and uniformly convex functions related to the Pascal distribution

Murugusundaramoorthy G., Yalçın Tokgöz S.

MATHEMATICA BOHEMICA, cilt.146, sa.4, ss.419-428, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 146 Sayı: 4
  • Basım Tarihi: 2021
  • Doi Numarası: 10.21136/mb.2020.0044-20
  • Dergi Adı: MATHEMATICA BOHEMICA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.419-428
  • Anahtar Kelimeler: uniformly starlike function, uniformly convex function, starlike function, con-vex function, Pascal distribution, convolution, DISTRIBUTION SERIES, UNIVALENT, SUBCLASSES
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this article, we aim to find sufficient conditions for a convolution of analytic univalent functions and the Pascal distribution series to belong to the families of uniformly starlike functions and uniformly convex functions in the open unit disk U. We also state corollaries of our main results.