Initial Lucas polynomial coefficient bounds for bi-Bazilevi\v{c} functions

Document Type : Research Articles

Authors

1 uludag university

2 Department of Mathematics, The National Institute of Engineering, Mysore - 570018, India

3 Visvesvaraya Technological University, Belagavi - 590018, India

4 1Post-Graduate and Research Department of Mathematics, Government Arts College for Men Krishnagiri 635001, Tamilnadu, India.

Abstract

Our current investigation is primarily motivated by the application of special polynomials in Geometric Function Theory (GFT). This paper aims to utilize (M,N)-Lucas polynomials to estimate the initial coefficient bounds for a subclass of bi-univalent functions consisting of normalized analytic functions. We then derive the famous Fekete-Szegö inequality estimate. We also establish connections between our results and those examined in previous investigations.

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