Browsing by Author "Sivasubramanian, S."

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The Fekete-Szego Functional Associated with the Mth Root Transformation Using Conical Domains
(Springer, 2024) Gurusamy, P.; Caglar, M.; Sivasubramanian, S.; Cotirla, L. I.
Let A be the class of analytic functions in the open unit disk U = {z is an element of C : |z| < 1} and let R-alpha(p) be an operator defined on A by R-alpha(p)= f(z) * z/(1-z)(2(1-alpha)). We say that a function f in A is in the class k-SP alpha p if R-alpha(p)(f) is a k-parabolic starlike function. We focus on the Fekete-Szego inequality associated with the m th root transformation using conical domains for this class.
Citation - Scopus: 1
The Fekete-Szegö Inequality for Prestarlike Functions Using Subordination
(Springer Int Publ Ag, 2025) Gurusamy, P.; Caglar, M.; Sivasubramanian, S.; Buyankara, M.
Pre-starlike functions hold a significant place in the theory of analytic functions, and various inequalities related to the coefficients of these functions play a critical role in understanding their geometric properties. In our work, Fekete-Szeg & ouml; type coefficient inequalities are obtained for the class of pre-starlike functions. These results generalize some previously known properties of pre-starlike functions and present new inequalities valid for a broader class of these functions. Additionally, for the some special values of parameters several corollaries are presented.
Initial Coefficient Bounds for Bi-Close Classes of N-Fold Bi-Univalent Functions
(MDPI, 2024) Gurusamy, P.; Caglar, M.; Cotirla, L. I.; Sivasubramanian, S.
In this article, the strong class of bi-close-to-convex functions of order alpha and beta in n-fold symmetric bi-univalent functions, which is the subclass of sigma, is introduced. The upper bound value for an+1, a2n+1 for functions in these classes are obtained. Moreover, the Fekete-Szeg & ouml; relation for our classes of functions are established.