Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Shujaat Ali Shah"'
Publikováno v:
AIMS Mathematics, Vol 8, Iss 11, Pp 26290-26300 (2023)
Nowadays, the subclasses of analytic functions in terms of fuzzy subsets are studied by various scholars and some of these concepts are extended using the $ q- $theory of functions. In this inspiration, we introduce certain subclasses of analytic fun
Externí odkaz:
https://doaj.org/article/20a6334114894b4ba2bfaa8177e7f1b0
Publikováno v:
AIMS Mathematics, Vol 8, Iss 7, Pp 15569-15584 (2023)
In this paper the authors combine the quantum calculus applications regarding the theories of differential subordination and superordination with fuzzy theory. These results are established by means of an operator defined as the $ q $-analogue of the
Externí odkaz:
https://doaj.org/article/d7db87ea2e6f48efa4e38673c3c72dfd
Publikováno v:
AIMS Mathematics, Vol 8, Iss 3, Pp 6642-6650 (2023)
This article presents the link between the fuzzy differential subordination and the q-theory of functions. We use the fuzzy differential subordination to define certain subclasses of univalent functions associated with the q-difference operator. Cert
Externí odkaz:
https://doaj.org/article/feafa661b57b4b9d8bbf8ae051b9827b
Publikováno v:
AIMS Mathematics, Vol 8, Iss 1, Pp 1375-1383 (2023)
The notion of a fuzzy subset is used to introduce certain subclasses of analytic functions. Mainly, this article presents several inclusion results and integral preserving properties. Also, certain applications of the analytic functions in terms of f
Externí odkaz:
https://doaj.org/article/0b28909ad50c4b2399a282170be61725
Publikováno v:
Mathematics, Vol 11, Iss 18, p 3968 (2023)
The idea of fuzzy differential subordination is a generalisation of the traditional idea of differential subordination that evolved in recent years as a result of incorporating the idea of fuzzy set into the field of geometric function theory. In thi
Externí odkaz:
https://doaj.org/article/fc0d1e0972584f9f92b914a1b8cb96a7
Publikováno v:
Journal of Function Spaces, Vol 2023 (2023)
The concepts of bounded boundary rotation and parabolic domain are used to define certain new classes of analytic functions such as V1,qm,g, R1,qm,g, T1,qm,g, and Q1,qγm,g,a. The difference of coefficients, necessary conditions, distortion bounds, r
Externí odkaz:
https://doaj.org/article/2e76df80d2be4849ba4d155d49eb7d36
Publikováno v:
Mathematics, Vol 11, Iss 12, p 2705 (2023)
In this article, a new linear extended multiplier operator is defined utilizing the q-Choi–Saigo–Srivastava operator and the q-derivative. Two generalized subclasses of q—uniformly convex and starlike functions of order δ—are defined and stu
Externí odkaz:
https://doaj.org/article/9910f6f7694646aca8f10dcb92bf0ba7
Publikováno v:
Mathematics, Vol 11, Iss 9, p 2022 (2023)
The study of the q-analogue of the classical results of geometric function theory is currently of great interest to scholars. In this article, we define generalized classes of close-to-convex functions and quasi-convex functions with the help of the
Externí odkaz:
https://doaj.org/article/4efb55ac8763469c98a4f2d811f2e6e5
Autor:
Khalida Inayat Noor, Shujaat Ali Shah
Publikováno v:
Sahand Communications in Mathematical Analysis, Vol 17, Iss 4, Pp 13-23 (2020)
Let $f$ and $g$ be analytic in the open unit disc and, for $\alpha ,$ $\beta \geq 0$, let\begin{align*}J\left( \alpha ,\beta ,f,g\right) & =\frac{zf^{\prime }(z)}{f^{1-\alpha}(z)g^{\alpha }(z)}+\beta \left( 1+\frac{zf^{\prime \prime }(z)}{f^{\prime}(
Externí odkaz:
https://doaj.org/article/a1e3054062b14b03a4f422b9c8fc5f16
Autor:
Khalida Inayat Noor, Shujaat Ali Shah
Publikováno v:
International Journal of Analysis and Applications, Vol 18, Iss 4, Pp 550-558 (2020)
In this paper, we introduce certain subclasses of analytic functions defined by using the q-difference operator. Mainly we give several inclusion results for defined classes. Also, certain applications due to q-Ruscheweyh derivative operator will be
Externí odkaz:
https://doaj.org/article/831e48a039f14244a6cd97b5aa157036