Browsing by Author "Khan, Bilal"
Now showing items 113 of 13

Applications of qDerivative Operator to the Subclass of BiUnivalent Functions Involving qChebyshev Polynomials
Khan, Bilal; Liu, ZhiGuo; Shaba, Timilehin Gideon; Araci, Serkan; Khan, Nazar; Khan, Muhammad Ghaffar (HINDAWI LTD, MAR 18 202)In recent years, the usage of the qderivative and symmetric qderivative operators is significant. In this study, firstly, many known concepts of the qderivative operator are highlighted and given. We then use the symmetric ... 
Applications of qhermite polynomials to subclasses of analytic and biunivalent functions
Zhang, Caihuan; Khan, Bilal; Shaba, Timilehin Gideon; Ro, JongSuk; Araci, Serkan; Khan, Muhammad Ghaffar (MDPI, August 202)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 study has received a lot of attention in ... 
Applications of symmetric conic domains to a subclass of qStarlike functions
Khan, Shahid; Khan, Nazar; Hussain, Aftab; Araci, Serkan; Khan, Bilal; AlSulami, Hamed H. (MDPI, APR 2022)In this paper, the theory of symmetric qcalculus and conic regions are used to define a new subclass of qstarlike 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 qClosetoConvex 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 qstarlike 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 Ruscheweyhtype qdifferential operator to introduce and study a new subclass of qstarlike symmetric functions, which are associated with conic domains and the wellknown celebrated ... 
Higherorder qderivatives and their applications to subclasses of multivalent Janowski type qstarlike functions
Khan, Bilal; Liu, ZhiGuo; 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 qderivatives, some new subclasses of multivalent qstarlike 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, JongSuk; 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 ... 
New doublesum expansions for certain Mock theta functions
Hu, Qiuxia; Khan, Bilal; Araci, Serkan; Acikgoz, Mehmet (American Institute of Mathematical Sciences, 2022)The study of expansions of certain mock theta functions in special functions theory has a long and quite significant history. Motivated by recent correlations between qseries and mock theta functions, we establish a new ... 
Sharp bounds of the feketeszego problem and second hankel determinant for certain biunivalent functions defined by a novel qdifferential operator associated with qlimacon 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 biunivalent functions associated with ... 
A Subclass of Janowski Starlike Functions Involving MathieuType 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 Janowskitype multivalent qstarlike functions involving a qdifferential 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 ... 
ΦLike analytic functions associated with a vertical domain
Araci, Serkan; Karthikeyan, K. R.; Murugusundaramoorthy, G.; Khan, Bilal (Element, OCT 2023)In this article, using the principle of subordination we introduce a new class of Philike functions associated with a vertical strip domain and provided some interesting deviations or adaptation which are helpful in ...