Articles with "faber polynomial" as a keyword



Performance analysis of faber polynomial based local propagators for photonics

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Published in 2025 at "Optical and Quantum Electronics"

DOI: 10.1007/s11082-025-08072-9

Abstract: The computation of the propagation of an electromagnetic wave in the time domain is examined using local Faber polynomial based time dependent propagators. Conventionally, the whole computational domain is evaluated by one global operator. Contrary,… read more here.

Keywords: time; polynomial based; time step; performance analysis ... See more keywords
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Coefficient Estimation Utilizing the Faber Polynomial for a Subfamily of Bi-Univalent Functions

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Published in 2023 at "Axioms"

DOI: 10.3390/axioms12060512

Abstract: The paper introduces a new family of analytic bi-univalent functions that are injective and possess analytic inverses, by employing a q-analogue of the derivative operator. Moreover, the article establishes the upper bounds of the Taylor–Maclaurin… read more here.

Keywords: coefficient estimation; univalent functions; polynomial subfamily; faber polynomial ... See more keywords

Inequalities on coefficients for certain classes of m-fold symmetric and bi-univalent functions equipped with Faber polynomial

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Published in 2019 at "TURKISH JOURNAL OF MATHEMATICS"

DOI: 10.3906/mat-1808-82

Abstract: In this work, considering a new subclass of bi-univalent functions which are m-fold symmetric and analytic functions in the open unit disk, we determine estimates for the general Taylor-Maclaurin coefficient of the functions in this… read more here.

Keywords: univalent functions; certain classes; coefficients certain; inequalities coefficients ... See more keywords