Applications of q‐Derivative Operator to the Subclass of Bi‐Univalent Functions Involving q‐Chebyshev Polynomials
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 …
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
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 …
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
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 …
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
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 …
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
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 …
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
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 …
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
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 …
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
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 …
symmetric q‐difference operator for m‐fold symmetric functions. By considering this …
Starlike Functions Based on Ruscheweyh q−Differential Operator defined in Janowski Domain
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 …
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
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 …
subclass of q-starlike functions involving a certain conic domain. By means of this newly …