- Tytuł:
- On some differential sandwich theorems using an extended generalized Sălăgean operator and extended Ruscheweyh operator
- Autorzy:
- Andrei, L.
- Powiązania:
- https://bibliotekanauki.pl/articles/357905.pdf
- Data publikacji:
- 2015
- Wydawca:
- Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
- Tematy:
-
analytic function
differential operator
differential subordination
differential superordination
funkcja analityczna
operator różniczkowy
równania różniczkowe - Opis:
- Abstract: In this work we define a new operator using the extended generalized Sălăgean operator and extended Ruscheweyh operator. Denote by $DR^{m,n}_{\lambda}$ the Hadamard product of the extended generalized Sălăgean operator $D^{m}_{\lambda}$ and extended Ruscheweyh operator $R^{n}$, given by $DR^{m,n}_{\lambda}$ : $\mathcal{A}_{\zeta}^{*} \rightarrow \mathcal{A}_{\zeta}^{*}, DR_{\lambda}^{m,n} f (z, \zeta) = (D_{\lambda}^{m} * R^{n}) f (z, \zeta)$ and $\mathcal{A}_{n, \zeta}^{*} = \{f \in \mathcal{H}(U \times \overline{U}), f(z, \zeta) = z+a_{n+1} + \ldots, z \in U, \zeta \in \overline{U}\}$ is the class of normalized analytic functions with $\mathcal{A}_{\zeta}^{*} \rightarrow \mathcal{A}_{\zeta}^{*}$. The purpose of this paper is to introduce sufficient conditions for strong differential subordination and strong differential superordination involving the operator $DR_{\lambda}^{m,n}$ and also to obtain sandwich-type results.
- Źródło:
-
Journal of Mathematics and Applications; 2015, 38; 33-48
1733-6775
2300-9926 - Pojawia się w:
- Journal of Mathematics and Applications
- Dostawca treści:
- Biblioteka Nauki
Artykuł