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H.M. Srivastava, G. Murugusundaramoorthy, S.M. El-Deeb, Faber polynomial coefficient estimates of bi-close-to-convex functions connected with the Borel distribution of the Mittag-Leffler type

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DOI: 10.23952/jnva.5.2021.1.07

Volume 5, Issue 1, 1 February 2021, Pages 103-118

 

Abstract. By using the Borel distribution series of the Mittag-Leffler type, we introduce a new class of the bi-close-to-convex functions defined in the open unit disk. We then apply the Faber polynomial expansion method in order to investigate the estimates for the general Taylor-Maclaurin coefficients of the functions belonging to this new class of bi-close-to-convex functions in the open unit disk. We consider the Fekete-Szegö type inequalities for the bi-close-to-convex function class and also consider several corollaries and the consequences of the results presented in this paper.

 

How to Cite this Article:
H.M. Srivastava, G. Murugusundaramoorthy, S.M. El-Deeb, Faber polynomial coefficient estimates of bi-close-to-convex functions connected with the Borel distribution of the Mittag-Leffler type, J. Nonlinear Var. Anal. 5 (2021), 103-118.