Unified Approach to Starlike and Convex Functions Involving Convolution Between Analytic Functions
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DOI: 10.1007/s00025-018-0782-0
Abstract: Using the idea of convolution between analytic functions, we define a class $$\mathcal {UM}(g,\gamma ,b,k)$$UM(g,γ,b,k) of analytic functions comprising of starlike and convex functions. These functions map the open unit disc on to the conic… read more here.
Keywords: convolution analytic; starlike convex; analytic functions; convex functions ... See more keywords
Subclasses of Starlike and Convex Functions Associated with the Limaçon Domain
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DOI: 10.3390/sym12060942
Abstract: Let ST L ( s ) and CV L ( s ) denote the family of analytic and normalized functions f in the unit disk D : = z : | z | < 1… read more here.
Keywords: convex functions; functions associated; starlike convex; lima domain ... See more keywords
New Applications of the Sălăgean Quantum Differential Operator for New Subclasses of q-Starlike and q-Convex Functions Associated with the Cardioid Domain
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DOI: 10.3390/sym15061185
Abstract: In this paper, we define a new family of q-starlike and q-convex functions related to the cardioid domain utilizing the ideas of subordination and the Sălăgean quantum differential operator. The primary contribution of this article… read more here.
Keywords: operator; gean quantum; cardioid domain; quantum differential ... See more keywords
Coefficient Estimates of Bi-Starlike and Bi-Convex Functions with Respect to Symmetrical Points Associated with the Second Kind Chebyshev Polynomials
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DOI: 10.34198/ejms.3220.191198
Abstract: In this paper, by making use the second kind Chebyshev polynomials, we introduce and study a certain class of bi-starlike and bi-convex functions with respect to symmetrical points defined in the open unit disk. We… read more here.
Keywords: second kind; convex functions; chebyshev polynomials; starlike convex ... See more keywords