ON A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY DIFFERENTIAL OPERATOR | ||
| Electronic Journal of Mathematical Analysis and Applications | ||
| Volume 13, Issue 1, 2025, Pages 1-11 PDF (225.42 K) | ||
| Document Type: Regular research papers | ||
| DOI: 10.21608/ejmaa.2025.311833.1248 | ||
| Authors | ||
| Venkateswarlu B* 1; Thirupathi Reddy Pinninti2; Aditya Lagad3; Rajukumar Ingle4 | ||
| 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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