Lucas polynomials and applications to an unified calss of bi-univalent functions equipped with (P,Q)-derivative operators
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Date
2020
Authors
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Publisher
Institute of Applied Mathematics of Baku State University
Abstract
We want to remark explicitly that, by using the L-n (x) functions (essentially linked to Lucas polynomials of the second kind), our methodology builds a bridge, to our knowledge not previously well known, between the Theory of Geometric Functions and that of Special Functions, which are usually considered as very different fields. Thus, also making use of the differential operator I-p,q(k), we introduce a new class of analytic bi-univalent functions. Coefficient estimates, Fekete-Szego inequalities and several special consequences of the results are obtained.
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Keywords
Lucas polynomials, Coefficient bounds, Bi-univalent functions, Q-calculus, (p, q)-Derivative operator, Coefficient, Fibonacci, Subclass, Mathematics
Citation
Altınkaya, Ş. ve Yalçın, S. (2020). "Lucas polynomials and applications to an unified calss of bi-univalent functions equipped with (P,Q)-derivative operators". TWMS Journal of Pure and Applied Mathematics, 11(1), 100-108.