Browsing by Author "Khan, Nazar"
Now showing items 1-6 of 6
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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 ... -
Coefficient inequalities for a subclass of symmetric q -starlike functions involving certain conic domains
Khan, Mohammad Faisal; Khan, Nazar; Araci, Serkan; Khan, Shahid; Khan, Bilal (HINDAWI LTD, SEP 29 202)In this paper, we make use of a certain Ruscheweyh-type q-differential operator to introduce and study a new subclass of q-starlike symmetric functions, which are associated with conic domains and the well-known celebrated ... -
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 ...
