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A New Family of Starlike Functions in a Circular Domain Involving a q-differential Operator

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Abstract

The main purpose of the present paper is to investigate a number of useful properties such as sufficiency criteria, distortion bounds, coefficient estimates, radius of starlikness and radius of convexity for a new subclass of analytic functions, which are defined here by means of a newly defined q-linear differential operator.

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Correspondence to M. Arif, Q. Khan or J. Sokół.

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Russian Text © The Author(s), 2019, published in Izvestiya Natsional’noi Akademii Nauk Armenii, Matematika, 2019, No. 6, pp. 19–27.

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Arif, M., Khan, Q. & Sokół, J. A New Family of Starlike Functions in a Circular Domain Involving a q-differential Operator. J. Contemp. Mathemat. Anal. 54, 339–346 (2019). https://doi.org/10.3103/S1068362319060037

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  • DOI: https://doi.org/10.3103/S1068362319060037

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