Zobrazeno 1 - 10
of 340
pro vyhledávání: '"q-difference operator"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 18143-18162 (2024)
The results of this work belong to the field of geometric function theory, being based on differential subordination methods. Using the idea of the $ \mathfrak{q} $-calculus operators, we define the $ \mathfrak{q} $-analogue of the multiplier- Rusche
Externí odkaz:
https://doaj.org/article/ba3b02b747b44406825bf79c44317d54
Publikováno v:
AIMS Mathematics, Vol 9, Iss 5, Pp 11789-11804 (2024)
In this study, using the ideas of subordination and the quantum-difference operator, we established a new subclass $ \mathcal{S} ^{\ast }\left(\delta, \sigma, q\right) $ of $ q $-starlike functions and the subclass $ \mathcal{S}_{\Sigma }^{\ast }\lef
Externí odkaz:
https://doaj.org/article/16393596324342d1bcbb2352ca4d61f6
Publikováno v:
AIMS Mathematics, Vol 9, Iss 3, Pp 6772-6783 (2024)
The results of this work have a connection with the geometric function theory and they were obtained using methods based on subordination along with information on $ \mathfrak{q} $-calculus operators. We defined the $ \mathfrak{q} $-analogue of multi
Externí odkaz:
https://doaj.org/article/1762684965194077bcecd35badc7fbe5
Publikováno v:
Axioms, Vol 13, Iss 6, p 366 (2024)
In this work, we study some new applications of symmetric quantum calculus in the field of Geometric Function Theory. We use the cardioid domain and the symmetric quantum difference operator to generate new classes of multivalent q-starlike and q-con
Externí odkaz:
https://doaj.org/article/d5ab9e7c66e941869cb80257d510c18d
Autor:
Zhang Xiaomei, Wu Zhaojun
Publikováno v:
Open Mathematics, Vol 21, Iss 1, Pp 4-34 (2023)
Let ff be a transcendental entire function of finite order with a Picard exceptional value β∈C\beta \in {\mathbb{C}}, q∈C\{0,1}q\in {\mathbb{C}}\setminus \left\{0,1\right\} and cc are complex constants. The authors prove that Dq,cf(z)−af(z)−
Externí odkaz:
https://doaj.org/article/ca71981771234b19b50517159f6e95e4
Autor:
Wafaa Y. Kota, Rabha Mohamed El-Ashwah
Publikováno v:
Mathematica Bohemica, Vol 148, Iss 2, Pp 131-148 (2023)
Using the operator $\frak{D}_{q,\varrho}^m(\lambda,l)$, we introduce the subclasses $\frak{Y}^{*m}_{q,\varrho}(l,\lambda,\gamma)$ and $\frak{K}^{*m}_{q,\varrho}(l,\lambda,\gamma)$ of normalized analytic functions. Among the results investigated for e
Externí odkaz:
https://doaj.org/article/b7b69cb8548f4d9d88a6e9f04d71a9e9
Publikováno v:
AIMS Mathematics, Vol 8, Iss 6, Pp 13525-13542 (2023)
In this paper, we consider the $ q $-type $ k $-Lidstone series. The series follows from expanding certain classes of entire functions in terms of Jackson $ q^{-1} $- derivatives at integers congruent to r modulo k, where $ k $ is a positive integer.
Externí odkaz:
https://doaj.org/article/9fe066dc50094cf385aa17c68c87cb8c
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:
Fractal and Fractional, Vol 7, Iss 11, p 793 (2023)
Using the Salagean q-differential operator, we investigate a novel subclass of analytic functions in the open unit disc, and we use the Hadamard product to provide some inclusion relations. Furthermore, the coefficient conditions, convolution propert
Externí odkaz:
https://doaj.org/article/5c5fc271c96a460a8274ee3aeb5059e7
Publikováno v:
Symmetry, Vol 15, Iss 11, p 1974 (2023)
This work begins with a discussion of the quantum calculus operator theory and proceeds to develop and investigate a new family of close-to-convex functions in an open unit disk. Considering the quantum difference operator, we define and study a new
Externí odkaz:
https://doaj.org/article/71467873ed99477ab7ccd395f584e4d6