Univalent Functions Associated with the Symmetric Points and Cardioid-shaped Domain Involving (p,q)-calculus
KYUNGPOOK MATHEMATICAL JOURNAL, cilt.61, sa.1, ss.75-98, 2021 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 61 Sayı: 1
- Basım Tarihi: 2021
- Doi Numarası: 10.5666/kmj.2021.61.1.75
- Dergi Adı: KYUNGPOOK MATHEMATICAL JOURNAL
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
- Sayfa Sayıları: ss.75-98
- İstanbul Kültür Üniversitesi Adresli: Evet
Özet
In this paper, we introduce new classes of post-quantum or (p, q)-starlike and convex functions with respect to symmetric points associated with a cardiod-shaped domain. We obtain (p,q)-Fekete-Szego inequalities for functions in these classes. We also obtain estimates of initial (p, q)-logarithmic coefficients. In addition, we get q-Bieberbachde-Branges type inequalities for the special case of our classes when p = 1. Moreover, we also discuss some special cases of the obtained results.