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Subordination results for a fractional integral operator
A. Alb Lupaş Department of Mathematics and Computer Science,
University of Oradea,
str. Universitatii nr. 1, 410087 Oradea, Romania
Аннотация:
In this paper, we establish several differential subordinations regarding the operator $D_{z}^{-\lambda }SR^{m,n}$ defined using the fractional integral of the differential operator $SR^{m,n}$, obtained as a convolution product of Sălăgean operator $S^{m}$ and Ruscheweyh derivative $R^{n}$. By means of the newly obtained operator, a new subclass of analytic functions denoted by $\mathcal{SR}_{m,n,\lambda }\left( \delta \right) $ is introduced and various properties and characteristics of this class are derived, making use of the concept of differential subordination.
Ключевые слова:
analytic function, differential subordination, fractional integral, convolution product, Sălăgean operator, Ruscheweyh derivative.
Поступила в редакцию: 23.06.2021 Исправленный вариант: 26.09.2021 Принята в печать: 29.09.2021
Образец цитирования:
A. Alb Lupaş, “Subordination results for a fractional integral operator”, Пробл. анал. Issues Anal., 11(29):1 (2022), 20–31
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/pa339 https://www.mathnet.ru/rus/pa/v29/i1/p20
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