Bi-Concave Functions Connected with the Combination of the Binomial Series and the Confluent Hypergeometric Function
Hari M. Srivastava,
Sheza M. El-Deeb,
Daniel Breaz
et al.
Abstract:In this article, we first define and then propose to systematically study some new subclasses of the class of analytic and bi-concave functions in the open unit disk. For this purpose, we make use of a combination of the binomial series and the confluent hypergeometric function. Among some other properties and results, we derive the estimates on the initial Taylor-Maclaurin coefficients |a2| and |a3| for functions in these analytic and bi-concave function classes, which are introduced in this paper. We also de… Show more
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