Applications of q‐Derivative Operator to the Subclass of Bi‐Univalent Functions Involving q‐Chebyshev Polynomials

B Khan, ZG Liu, TG Shaba, S Araci… - Journal of …, 2022 - Wiley Online Library
In recent years, the usage of the q‐derivative and symmetric q‐derivative operators is
significant. In this study, firstly, many known concepts of the q‐derivative operator are …

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 …

Second Hankel Determinant for the Subclass of Bi-Univalent Functions Using q-Chebyshev Polynomial and Hohlov Operator

I Al-Shbeil, TG Shaba, A Cătaş - Fractal and Fractional, 2022 - mdpi.com
The q-derivative and Hohlov operators have seen much use in recent years. First, numerous
well-known principles of the q-derivative operator are highlighted and explained in this …

Third Hankel determinant for the logarithmic coefficients of starlike functions associated with sine function

B Khan, I Aldawish, S Araci, MG Khan - Fractal and Fractional, 2022 - mdpi.com
The logarithmic functions have been used in a verity of areas of mathematics and other
sciences. As far as we know, no one has used the coefficients of logarithmic functions to …

Applications of q-Hermite Polynomials to Subclasses of Analytic and Bi-Univalent Functions

C Zhang, B Khan, TG Shaba, JS Ro, S Araci… - Fractal and …, 2022 - mdpi.com
In mathematics, physics, and engineering, orthogonal polynomials and special functions
play a vital role in the development of numerical and analytical approaches. This field of …

Coefficient Estimates of New Families of Analytic Functions Associated with q-Hermite Polynomials

I Al-Shbeil, A Cătaş, HM Srivastava, N Aloraini - Axioms, 2023 - mdpi.com
In this paper, we introduce two new subclasses of bi-univalent functions using the q-Hermite
polynomials. Furthermore, we establish the bounds of the initial coefficients υ 2, υ 3, and υ 4 …

Certain new subclass of multivalent q-starlike functions associated with q-symmetric calculus

MF Khan, A Goswami, S Khan - Fractal and Fractional, 2022 - mdpi.com
In our present investigation, we extend the idea of q-symmetric derivative operators to
multivalent functions and then define a new subclass of multivalent q-starlike functions. For …

Applications of q‐Symmetric Derivative Operator to the Subclass of Analytic and Bi‐Univalent Functions Involving the Faber Polynomial Coefficients

MF Khan, S Khan, N Khan, J Younis… - Mathematical Problems …, 2022 - Wiley Online Library
In this paper, using the basic concepts of symmetric q‐calculus operator theory, we define a
symmetric q‐difference operator for m‐fold symmetric functions. By considering this …

Starlike Functions Based on Ruscheweyh q−Differential Operator defined in Janowski Domain

LI Cotîrlǎ, G Murugusundaramoorthy - Fractal and Fractional, 2023 - mdpi.com
In this paper, we make use of the concept of q− calculus in the theory of univalent functions,
to obtain the bounds for certain coefficient functional problems of Janowski type starlike …

Applications of Symmetric Conic Domains to a Subclass of q-Starlike Functions

S Khan, N Khan, A Hussain, S Araci, B Khan… - Symmetry, 2022 - mdpi.com
In this paper, the theory of symmetric q-calculus and conic regions are used to define a new
subclass of q-starlike functions involving a certain conic domain. By means of this newly …