Srivastava, Hari M.El-Deeb, Sheza M.Breaz, DanielCotîrl?, Luminita-IoanaS?l?gean, Grigore Stefan2024-10-102024-10-102024Srivastava, H. M., El-Deeb, S. M., Breaz, D., Cotîrl?, L.-I., & S?l?gean, G. S. (2024). Bi-concave functions connected with the combination of the binomial series and the confluent hypergeometric function. Symmetry, 16(2), Article 2. https://doi.org/10.3390/sym16020226https://doi.org/10.3390/sym16020226https://hdl.handle.net/1828/20561In 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 derive a number of corollaries and consequences of our main results in this paper.enAttribution CC BYArticleDepartment of Mathematics and Statistics