Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Certain classes of p-valent analytic functions with negative coefficients and (lambda,p)-starlike with respect to certain points
Authors: Adnan Ghazy Alamoush, Maslina Darus
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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.School of Mathematical Sciences
Faculty of Science and Technology
Universiti Kebangsaan Malaysia
43600 UKM Bangi Selangor, Malaysia
E-mail: ,
Faculty of Science and Technology
Universiti Kebangsaan Malaysia
43600 UKM Bangi Selangor, Malaysia
E-mail: ,
Fulltext
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Contents
- On certain subclasses of analytic functions associated with generalized struve functions
- Rational bases of GL(2, R)-comitants and of GL(2, R)-invariants for the planar system of differential equations with nonlinearities of the fourth degree
- Certain classes of p-valent analytic functions with negative coefficients and (lambda,p)-starlike with respect to certain points
- Third Hankel determinant for the inverse of reciprocal of bounded turning functions
- Generating Cubic Equations as a Method for Public Encryption
- Determining the Distribution of the Duration of Stationary Games for Zero-Order Markov Processes with Final Sequence of States
- Cubic differential systems with two affine real non-parallel invariant straight lines of maximal multiplicity
- A Parametric Scheme for Online Uniform-Machine Scheduling to Minimize the Makespan
- On the absence of finite approximation relative to model completeness in propositional provability logic
- Alexei Cașu (Kashu). On his 75th Anniversary.
