Serkan ÇAKMAK, SİBEL YALÇIN TOKGÖZ, Şahsene ALTINKAYA

Some connections between various classes of analytic functions associated with the power series distribution

ISSN: 1301-4048
Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 1997
Yayıncı: Sakarya Üniversitesi Fen Bilimleri Enstitüsü

The primary motivation of the paper is to investigate the power series distribution (Pascal model) for the analytic function classes ??(?), ???∗(?, ?) and ???(?, ?). Furthermore, we give necessary and sufficient conditions for the Pascal distribution series belonging to these classes.

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Ş. Altınkaya and S. Yalçın, “Poisson distribution series for certain subclasses of starlike functions with negative coefficients”, Annals of Oradea Universty Mathematics Fascicola, vol. 24, pp. 5-8, 2017.

Ş. Altınkaya and S. Yalçın, “Poisson distribution series for analytic univalent functions”, Complex Analysis and Operator Theory, vol. 12, pp. 1315-1319, 2018.

S. Porwal, “An application of a Poisson distribution series on certain analytic functions”, J. Complex Anal., Article ID 984135, vol. 2014, pp. 1-3, 2014.

W. Nazeer, Q. Mehmood, S.M. Kang and A.U. Haq, “An application of Binomial distribution series on certain analytic functions”, Journal of Computational Analysis and Applications, vol. 26, pp. 11- 17, 2019.

H. Silverman, “Univalent functions with negative coefficients”, Proc. Amer. Math. Soc., vol. 51, pp. 109-116, 1975.

F. Rønning, “Uniformly convex functions and a corresponding class of starlike functions”, Proc. Amer. Math. Soc., vol. 118, pp. 189-196, 1993.