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Starlike and convexity properties of q-Bessel-Struve functions

Oraby Karima M., Mansour Zeinab S. I.

Demonstratio Mathematica

2022

Vol. 55, nr 1

61--80

This paper introduces three different normalization associated with the second and third q-Bessel-Struve functions. We use Hadamard factorizations to determine the radii of starlike and convexity of these functions.

On the geometrical properties of some classes of complex harmonic functions defined by analytic or coefficient conditions with complex parameter

Sibelska A.

Journal of Applied Analysis

2014

Vol. 20, nr 1

77--85

In the paper there are determined, for some classes defined by coefficient or analytic conditions, the sets of complex parameter γ, for which all the functions of the appropriate family have some geometrical properties. There are also provided the examples of the mappings showing that some inclusions between classes are impossible or confirming that sets of the parameter γ cannot be extended in some cases without loss of these geometric properties.

Coefficient estimates for certain class of analytic funtions of compelex order and type beta

Aouf M. K., Yamy M. A. Al.

Demonstratio Mathematica

2005

Vol. 38, nr 2

313--322

Let f(x) = z+ sum (for n=k+1 to infinity) belong to the class S(1 - b),beta), b=0,, complex and 0 < beta < 1. In this paper, we determine sharp coefficient estimates for functions of the form f(z)t = zt + sum (for n=t+kan zn to infinity), where t is a positive integer. The results obtained generalize the work of many authors.

On complex mappings harmonic in the unit disc with some coefficient conditions

Łazińska Anna

Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka

2002

z. 26 [199]

107-116

Let h = u + w, where u,v are real harmonic functions in the unit disc delta. Such functions are called complex mappings harmonic in delta. The function h may be written in the form h = f + g, where f, g are functions holomorphic in the unit disc, of course. Studies of complex harmonic functions were initiated in 1984 by J. Clunie and T. Sheil-Small ([CS-S]) and were continued by many others mathematicians. We can find some papers on functions harmonic in delta, satisfying certain coefficient conditions, e.g. [AZ], [S], [G]. We investigate some more general problems, which appeared during the seminar conducted by Professor Z. Jakubowski.