ON A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY DIFFERENTIAL OPERATOR

B, Venkateswarlu; Pinninti, Thirupathi Reddy; Lagad, Aditya; Ingle, Rajukumar

doi:10.21608/ejmaa.2025.311833.1248

ON A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY DIFFERENTIAL OPERATOR

Document Type : Regular research papers

Authors

¹ Department of Mathematics Gitam University, Bangalore

² Department of Mathematics,DRKIST. Hyderabad

³ Department of Mathematics, N.E.S.Science College, Nanded - 431 605, Maharashtra, India.

⁴ Department of Mathematics, Bahirji Smarak Mahavidyalay, Bashmathnagar - 431 512, Maharashtra, India.

10.21608/ejmaa.2025.311833.1248

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 . . . . . .

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Main Subjects