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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2015, Number 3, Pages 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
Abstract:
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.
Keywords and phrases:
p-valent functions, univalent functions, Salagean operator, starlike with respect to symmetric points.
Received: 10.05.2015
Citation:
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
Linking options:
https://www.mathnet.ru/eng/basm401 https://www.mathnet.ru/eng/basm/y2015/i3/p35
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Abstract page: | 166 | Full-text PDF : | 54 | References: | 28 |
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