ON A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY DIFFERENTIAL OPERATOR | ||||
Electronic Journal of Mathematical Analysis and Applications | ||||
Volume 13, Issue 1, 2025, Page 1-11 PDF (225.42 K) | ||||
Document Type: Regular research papers | ||||
DOI: 10.21608/ejmaa.2025.311833.1248 | ||||
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Authors | ||||
Venkateswarlu B ![]() ![]() | ||||
1Department of Mathematics Gitam University, Bangalore | ||||
2Department of Mathematics,DRKIST. Hyderabad | ||||
3Department of Mathematics, N.E.S.Science College, Nanded - 431 605, Maharashtra, India. | ||||
4Department of Mathematics, Bahirji Smarak Mahavidyalay, Bashmathnagar - 431 512, Maharashtra, India. | ||||
Abstract | ||||
The study of operator s play s an essential role in Mathematic s , especially in Geometric Function Theory in Complex Analysi s and it s related field s . Many derivative and integral operator s can be written in term s of convolution of certain analytic function s . The class of analytic function s , which has an essential place in the theory of geometric function s , has been studied by many researcher s before . This topic still maintains its popularity today . In this work , we introduce and investigate a new subclass of analytic function s in the open unit disc $ E $ with negative coefficient s . The object of the present paper is to determine the coefficient estimates , extreme point s , integral mean s inequalitie s , and subordination results for this class . . . . . . | ||||
Keywords | ||||
analytic function; uniformly starlike function; coefficient estimate; subordination | ||||
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