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New extension of Alexander and Libera integral operators.
- Source :
- Turkish Journal of Mathematics; 2022, Vol. 46 Issue 1, p225-241, 17p
- Publication Year :
- 2022
-
Abstract
- Let T be the class of analytic functions in the open unit disc U with f(0) = 0 and f ′ (0) = 1. For f(z) ∈ T, the Alexander integral operator A-1f(z), the Libera integral operator L-1f(z) and the Bernardi integral operator B-1f(z) were considered before. Using A-1f(z) and L-1f(z), a new integral operator Fλf(z) is considered. After discuss some properties of dominant for Fλf(z), another new integral operator O-1f(z) of f(z) ∈ T is discussed. The object of the present paper is to discuss the dominant of new integral operators Fλf(z) and O-1f(z) concerning with some starlike functions and convex functions in U. [ABSTRACT FROM AUTHOR]
- Subjects :
- INTEGRAL operators
ANALYTIC functions
CONVEX functions
Subjects
Details
- Language :
- English
- ISSN :
- 13000098
- Volume :
- 46
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Turkish Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 154811941
- Full Text :
- https://doi.org/10.3906/mat-2109-15