Applications of q-derivative operator to subclasses of bi-univalent functions involving Gegenbauer polynomials

Q Hu, TG Shaba, J Younis, B Khan… - … in Science and …, 2022 - Taylor & Francis
In recent years, using the idea of analytic and bi-univalent functions, many ideas have been
developed by different well-known authors, but the using Gegenbauer polynomials along …

On the (pq)-Lucas polynomial coefficient bounds of the bi-univalent function class

Ş Altınkaya, S Yalçın - Boletín de la Sociedad matemática mexicana, 2019 - Springer
The idea of the present paper stems from the work of Lee and Aşcı (J Appl Math 2012: 1–18,
2012). We want to remark explicitly that, in our article, by using the (p, q)-Lucas polynomials …

A new characterization of (PQ)-Lucas polynomial coefficients of the bi-univalent function class associated with q-analogue of Noor integral operator

A Akgül, FM Sakar - Afrika Matematika, 2022 - Springer
In this study, by using Lucas polynomials, subordination and q-analogue of Noor integral
operator, we will introduce an interesting new class Q q, μ (τ, α; x) of bi-univalent functions …

A subclass with bi-univalence involving (,)- Lucas polynomials and its coefficient bounds

S Yalçın, K Muthunagai, G Saravanan - Boletín de la Sociedad Matemática …, 2020 - Springer
A subclass with bi-univalence involving ( $${\mathfrak {p}}$$ , $${\mathfrak {q}}$$ )- Lucas
polynomials and its coefficient bounds | SpringerLink Skip to main content Advertisement …

The (pq)-Chebyshev polynomial bounds of a general bi-univalent function class

Ş Altınkaya, S Yalçın - Boletín de la Sociedad Matemática Mexicana, 2020 - Springer
In the present paper, we will define the bi-univalent function class S _\varSigma^ η, μ\left (p,
q\right) S Σ η, μ p, q related to the (p, q)-Chebyshev polynomials. Then we will derive the (p …

-Lucas polynomial coefficient relations of bi-univalent functions defined by the combination of Opoola and Babalola differential operators

H Orhan, TG Shaba, M Çağlar - Afrika Matematika, 2022 - Springer
In the discipline of geometric function theory, Lucas polynomials and other special
polynomials have recently acquired traction. We establish a new class of bi-univalent …

On Generalized Fibospinomials: Generalized Fibonacci Polynomial Spinors

EG Çolak, N Gönül Bilgin, Y Soykan - Symmetry, 2024 - mdpi.com
Spinors are important objects in physics, which have found their place more and more after
the discovery that particles have an intrinsic angular momentum shape and Cartan's …

[PDF][PDF] Some Applications of the (p,q)-Lucas Polynomials to the bi-univalent Function Class

S Altınkaya, S Yalçın - Mathematical Sciences and Applications E …, 2020 - dergipark.org.tr
Some Applications of the (p, q)-Lucas Polynomials to the bi-univalent Function Class Σ Page 1
MATHEMATICAL SCIENCES AND APPLICATIONS ENotes 8 (1) 134-141 (2020) c MSAEN …

(U, V)-Lucas polynomial coefficient relations of the bi-univalent function class

A Akgül, T Shaba - … Faculty of Sciences University of Ankara Series …, 2022 - dergipark.org.tr
In geometric function theory, Lucas polynomials and other special polynomials have recently
gained importance. In this study, we develop a new family of bi-univalent functions. Also we …

[PDF][PDF] Applications of q-derivative operator to subclasses of bi-univalent functions involving Gegenbauer polynomials

H Qiuxia, GS Timilehin, Y Jihad, K Bilal… - … in Science and …, 2022 - eprints.lmu.edu.ng
In recent years, using the idea of analytic and bi-univalent functions, many ideas have been
developed by different well-known authors, but the using Gegenbauer polynomials along …