Browsing by Author "Khan, Bilal"
Now showing items 1-9 of 9
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Applications of q-Derivative Operator to the Subclass of Bi-Univalent Functions Involving q-Chebyshev Polynomials
Khan, Bilal; Liu, Zhi-Guo; Shaba, Timilehin Gideon; Araci, Serkan; Khan, Nazar; Khan, Muhammad Ghaffar (HINDAWI LTD, MAR 18 202)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 highlighted and given. We then use the symmetric ... -
Applications of symmetric conic domains to a subclass of q-Starlike functions
Khan, Shahid; Khan, Nazar; Hussain, Aftab; Araci, Serkan; Khan, Bilal; Al-Sulami, Hamed H. (MDPI, APR 2022)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 defined domain, a new subclass of ... -
Coefficient Estimates for a Subclass of Meromorphic Multivalent q-Close-to-Convex Functions
Shi, Lei; Ahmad, Bakhtiar; Khan, Nazar; Khan, Muhammad Ghaffar; Araci, Serkan; Mashwani, Wali Khan; Khan, Bilal (MDPI, OCT 2021)By making use of the concept of basic (or q-) calculus, many subclasses of analytic and symmetric q-starlike functions have been defined and studied from different viewpoints and perspectives. In this article, we introduce ... -
Higher-order q-derivatives and their applications to subclasses of multivalent Janowski type q-starlike functions
Khan, Bilal; Liu, Zhi-Guo; Srivastava, H. M.; Araci, Serkan; Khan, Nazar; Ahmad, Qazi Zahoor (SPRINGER, OCT 7 2021)In the present investigation, with the help of certain higher- order q-derivatives, some new subclasses of multivalent q-starlike functions which are associated with the Janowski functions are defined. Then, certain ... -
Inclusion Relations for Dini Functions Involving Certain Conic Domains
Khan, Bilal; Khan, Shahid; Ro, Jong-Suk; Araci, Serkan; Khan, Nazar; Khan, Nasir (MDPI, FEB 2022)In recent years, special functions such as Bessel functions have been widely used in many areas of mathematics and physics. We are essentially motivated by the recent development; in our present investigation, we make use ... -
Sharp bounds of the fekete-szego problem and second hankel determinant for certain bi-univalent functions defined by a novel q-differential operator associated with q-limacon domain
Shaba, Timilehin Gideon; Araci, Serkan; Adebesin, Babatunde Olufemi; Tchier, Fairouz; Zainab, Saira; Khan, Bilal (MDPI, JUL 2023)In this present paper, we define a new operator in conjugation with the basic (or q-) calculus. We then make use of this newly defined operator and define a new class of analytic and bi-univalent functions associated with ... -
A Subclass of Janowski Starlike Functions Involving Mathieu-Type Series
Liu, Dong; Araci, Serkan; Khan, Bilal (MDPI, JAN 2022)To date, many interesting subclasses of analytic functions involving symmetrical points and other well celebrated domains have been investigated and studied. The aim of our present investigation is to make use of certain ... -
A subclass of meromorphic Janowski-type multivalent q-starlike functions involving a q-differential operator
Ahmad, Bakhtiar; Mashwani, Wali Khan; Aracı, Serkan; Mustafa, Saima; Khan, Muhammad Ghaffar; Khan, Bilal (Springer Nature, 2022)Keeping in view the latest trends toward quantum calculus, due to its various applications in physics and applied mathematics, we introduce a new subclass of meromorphic multivalent functions in Janowski domain with the ... -
Third Hankel Determinant for the Logarithmic Coefficients of Starlike Functions Associated with Sine Function
Khan, Bilal; Aldawish, Ibtisam; Araci, Serkan; Khan, Muhammad Ghaffar (MDPI, MAY 2022)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 determine the bounds for the third Hankel ...
