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In this paper we investigate some generalizations of classes of harmonic functions. By using the extreme points theory we obtain coefficients estimates distortion theorems and integral mean inequalities in these classes of functions. [ABSTRACT FROM AUTHOR]

Abstract: In this paper we investigate an interesting subclass of analytic univalent functions in the open unit disc on the complex plane. This class was introduced by Sokół [J. Sokół, On starlike functions connected with Fibonacci numbers, Folia Scient. Univ. Tech. Resoviensis 175 (1999) 111–116]. The class is strongly related to the class considered earlier by the authors of the present work in their paper [J. Dziok, R. K. Raina, J. Sokół, Certain results for a class of convex functions related to shell-like curve connected with Fibonacci Numbers, Comput. Math. Appl. 61 (2011) 2606–2613]. Apart from furnishing some genuine remarks, we present certain new results for the class of functions, and also mention some relevant cases for this function class. [Copyright &y& Elsevier]

Abstract: This paper presents a new class of functions f(z) analytic and normalized in the open unit disc (which is related to a shell-like curve and associated with Fibonacci numbers) satisfying the condition thatwhere α is a real number andThe class being closely related to the classes of starlike and convex functions, we apply some basic techniques to investigate certain interesting properties (given below) for this class of functions. Some important observations of the main results are also mentioned. [Copyright &y& Elsevier]

Abstract: This paper investigates some basic geometric properties for the class of functions analytic in the open unit disc (which is related to a shell-like curve and associated with Fibonacci numbers) satisfying the condition that where, the number is such that fulfils the golden section of the segment . Some relevant remarks and useful connections of the main results are also pointed out. [Copyright &y& Elsevier]

Abstract: Let , , denote the class of analytic functions in the unit disc normalized by and satisfying the condition The relations between and other classes geometrically defined are considered. The radii of convexity (starlikeness) of order are calculated. The same problem in the class of strongly starlike functions of order is also considered. [ABSTRACT FROM AUTHOR]

In the paper we define classes of harmonic starlike functions with respect to symmetric points and obtain some analytic conditions for these classes of functions. Some results connected to subordination properties, coefficient estimates, integral representation, and distortion theorems are also obtained. [ABSTRACT FROM AUTHOR]