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ЖУРНАЛЫ // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Архив

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2015, номер 3, страницы 35–49 (Mi basm401)

Research articles

Certain classes of $p$-valent analytic functions with negative coefficients and $(\lambda,p)$-starlike with respect to certain points

Adnan Ghazy Alamoush, Maslina Darus

School of Mathematical Sciences, Faculty of Science and Technology Universiti Kebangsaan Malaysia, 43600 UKM Bangi Selangor, Malaysia

Аннотация: In this article, we consider classes $S_{s,\lambda}^*(p,\alpha,\beta)$, $S_{c,\lambda}^*(p,\alpha,\beta)$, and $S_{sc,\lambda}^*(p,\alpha,\beta)$ of p-valent analytic functions with negative coefficients in the unit disk. They are, respectively, $(\lambda,p)$-starlike with respect to symmetric points, $(\lambda,p)$-starlike with respect to conjugate points, and $(\lambda,p)$-starlike with respect to symmetric conjugate points. Necessary and sufficient coefficient conditions for functions $f$ belonging to these classes are obtained. Several properties such as the coefficient estimates, growth and distortion theorems, extreme points, radii of starlikeness, convexity, and integral operator are studied.

Ключевые слова и фразы: p-valent functions, univalent functions, Salagean operator, starlike with respect to symmetric points.

MSC: 30C45

Поступила в редакцию: 10.05.2015

Язык публикации: английский



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