Affiliation:
1. Department of Mathematics, Faculty of science, Damietta University New Damietta, Egypt
Abstract
We introduce two classes of analytic functions related to conic domains,
using a new generalized q-Dziok-Srivastava-Catas operator Dm,s,r q,?,l(m ? N0 =
{0, 1, ..} , r ? s + 1; r, s ? N0, 0 < q < 1, ? ? 0, ? ? 0). Basic
properties of these classes are studied, such as coefficients estimate. For
these new function classes, we establish subordination theorems and also,
point out some new and known consequences of our main results.
Publisher
National Library of Serbia
Reference47 articles.
1. S. Abelman, K. A. Selvakumaran, M. M. Rashidi and S. D. Purohit, Subordination conditions for a class of non-Bazilevič type defined by using fractional q-calculus operators, Facta Univ. Ser. Math. Inform., 32 (2017), no. 2, 255-267.
2. R. Aghalary and Gh. Azadi, The Dziok-Srivastava operator and k-uniformly starlike functions, J. Inequal. Pure Appl. Math. 6(2005), no. 2, Art. 52, 1-7.
3. F. M. Al-Oboudi and K. A. Al-Amoudi, On classes of analytic functions related to conic domain, J. Math. Anal. Appl. 339(2008), 655-667.
4. M. K. Aouf and S. M. Madian, Subordination factor sequence results for starlike and convex classes defined by Catas operator, Afr. Mat., 32(2021), 1239-1251.
5. M. Arif, M. U. Haq and J. L. Liu, A subfamily of univalent functions associated with analogue of Noor integral operator, J. Funct. Spaces, 2018, Art. ID 3818915, 5 pages.
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