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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2015, Number 3, Pages 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
References:
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.
Funding agency Grant number
Universiti Kebangsaan Malaysia (UKM) AP-2013-009
The authors would like to acknowledge and appreciate the financial support received from Universiti Kebangsaan Malaysia (UKM) under the grant: AP-2013-009.
Received: 10.05.2015
Document Type: Article
MSC: 30C45
Language: English
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
Citation in format AMSBIB
\Bibitem{AlaDar15}
\by Adnan~Ghazy~Alamoush, Maslina~Darus
\paper Certain classes of $p$-valent analytic functions with negative coefficients and $(\lambda,p)$-starlike with respect to certain points
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2015
\issue 3
\pages 35--49
\mathnet{http://mi.mathnet.ru/basm401}
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