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Generalized operator for Alexander integral operator
- Source :
- Acta Universitatis Sapientiae: Mathematica, Vol 12, Iss 2, Pp 294-306 (2020)
- Publication Year :
- 2020
- Publisher :
- Scientia Publishing House, 2020.
-
Abstract
- Let Tn be the class of functions f which are defined by a power series f(z)=z+an+1zn+1+an2zn+2+…f\left( z \right) = z + {a_{n + 1}}{z^{n + 1}} + {a_n}2{z^{n + 2}} + \ldots for every z in the closed unit disc 𝕌¯\bar {\mathbb{U}}. With m different boundary points zs, (s = 1,2,...,m), we consider αm ∈ eiβ𝒜−j−λf(𝕌), here 𝒜−j−λ is the generalized Alexander integral operator and 𝕌 is the open unit disc. Applying 𝒜−j−λ, a subclass Bn(αm,β,ρ; j, λ) of Tn is defined with fractional integral for functions f. The object of present paper is to consider some interesting properties of f to be in Bn(αm,β,ρ; j, λ).
Details
- Language :
- English
- ISSN :
- 20667752 and 20200021
- Volume :
- 12
- Issue :
- 2
- Database :
- Directory of Open Access Journals
- Journal :
- Acta Universitatis Sapientiae: Mathematica
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.0f70f9e82f5415d80469b310831bfbf
- Document Type :
- article
- Full Text :
- https://doi.org/10.2478/ausm-2020-0021