Bi- Starlike function of complex order involving Rabotnov function subordinated to Lucas Balancing polynomial

K. Vijaya; G. Murugusundaramoorthy; Daniel Breaz; Luminiţa-Ioana Cotîrlă

doi:10.2478/auom-2026-0013

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Bi- Starlike function of complex order involving Rabotnov function subordinated to Lucas Balancing polynomial

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 34 (2026): Issue 1 (May 2026)

By: K. Vijaya, G. Murugusundaramoorthy, Daniel Breaz and Luminiţa-Ioana Cotîrlă

Open Access

|May 2026

Abstract

Considering the interesting results obtained recently by studying Rabotnov function, in this paper using the normalized Rabotnov function and the concept of subordination related with the Lucas Balancing polynomial, we defined two new subclasses of the bi-starlike and biconvex function of complex order in the open unit disc and obtained bounds of the initial Taylor-Maclaurin coefficients for functions in these classes. Furthermore, we have determined the Fekete-Szegö inequalities for function in the above mentioned classes. Several related corollaries are also presented.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2026-0013 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 249 - 277

Submitted on: Mar 10, 2025

Accepted on: Jul 12, 2025

Published on: May 15, 2026

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Analytic functions,

Univalent functions,Bi-univalent functions,

Bi-starlike and bi-convex functions,

Coefficient bounds,

Rabotnov function,Lucas Balancing polynomial

Related subjects:

Mathematics,

General mathematics

© 2026 K. Vijaya, G. Murugusundaramoorthy, Daniel Breaz, Luminiţa-Ioana Cotîrlă, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 34 (2026): Issue 1 (May 2026)