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ON A CLASS OF UNIVALENT FUNCTIONS DEFINED BY SĂLĂGEAN INTEGRO-DIFFERENTIAL OPERATOR.

Authors :
PÁLL-SZABÓ, Á. O.
Source :
Miskolc Mathematical Notes. 2018, Vol. 19 Issue 2, p1095-1106. 12p.
Publication Year :
2018

Abstract

In this paper we consider the Ln : A → A, Ln f(z) = (1 - λ) Dn f(z) + λIn f (z) linear operator, where Dn is the Sălăgean differential operator and I n is the Sălăgean integral operator. We study several differential subordinations generated by Ln. We introduce a class of holomorphic functions Lnm(β), and obtain some subordination results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17872405
Volume :
19
Issue :
2
Database :
Academic Search Index
Journal :
Miskolc Mathematical Notes
Publication Type :
Academic Journal
Accession number :
137152912
Full Text :
https://doi.org/10.18514/MMN.2018.2457