Vol. 9 No. 2 (2025): Vol 9, Iss 2, Year 2025
Articles

Faber polynomial coefficient estimates of bi-univalent functions connected with bounded boundary rotation by using Ruscheweyh derivative

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  • Murugan A,
  • Prathviraj Sharma,
  • Sivasubramanian S
Murugan A
Department of Mathematics, College of Engineering Guindy, Anna University, Chennai 600025, Tamil Nadu, India.
Prathviraj Sharma
Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, Tamil Nadu, India
Sivasubramanian S
Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, Tamil Nadu, India
DOI: https://doi.org/10.26524/cm218
Published December 20, 2025
Keywords
  • Analytic; Bi-univalent functions; Ruscheweyh derivative; Bounded boundary rotation; Coefficient estimates.
How to Cite
Murugan A, Prathviraj Sharma, & Sivasubramanian S. (2025). Faber polynomial coefficient estimates of bi-univalent functions connected with bounded boundary rotation by using Ruscheweyh derivative. Journal of Computational Mathematica, 9(2), 51-74. https://doi.org/10.26524/cm218

Abstract

In this article, Utilizing the Ruscheweyh derivative operator in the complex domain, we propose and examine a new class of analytic and bi-univalent functions with bounded boundary rotation situated in the open unit disk. Through the application of Faber polynomial expansions, we determine upper bounds for the general coefficients of these functions, which are subject to a gap series condition, as well as for their first two coefficients.

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