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Some Geometric Properties of a Family of Analytic Functions Involving a Generalized q-Operator

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In analysis, the introduction of q-calculus has been a revelation. It has a deep impact on various concepts and applications of pure and applied sciences. In this article we investigate… Click to show full abstract

In analysis, the introduction of q-calculus has been a revelation. It has a deep impact on various concepts and applications of pure and applied sciences. In this article we investigate certain geometric properties relating to convolution of functions of a newly defined class of analytic functions. The important region of the lemniscate of Bernoulli is considered. Here we utilize concepts of q-calculus which enhances and generalizes the vitality of this research work. In the same context we study the Fekete–Szego problem.

Keywords: involving generalized; family analytic; properties family; analytic functions; functions involving; geometric properties

Journal Title: Symmetry
Year Published: 2020

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