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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2015, номер 3, страницы 35–49
(Mi basm401)
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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.
Поступила в редакцию: 10.05.2015
Образец цитирования:
Adnan Ghazy Alamoush, Maslina Darus, “Certain classes of $p$-valent analytic functions with negative coefficients and $(\lambda,p)$-starlike with respect to certain points”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2015, no. 3, 35–49
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm401 https://www.mathnet.ru/rus/basm/y2015/i3/p35
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Страница аннотации: | 177 | PDF полного текста: | 60 | Список литературы: | 33 |
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