Baskaran Sudharsanan

Agurchand Manmull Jain College · Mathematics

The class of Sakaguchi type functions defined by balancing polynomials has been introduced as a novel subclass of bi-univalent functions. The bounds for the Fekete-Szegö inequality and the initial coefficients |a 2 | and |a 3 | have also been estimated.

In this paper, a new subclass, SC µ,p,q σ (r, s; x), of Sakaguchi-type analytic bi-univalent functions defined by (p, q)-derivative operator using Horadam polynomials is constructed and investigated. The initial coefficient bounds for |a 2 | and |a 3 | are obtained. Fekete-Szegö inequalities for the class are found. Finally, we give some corollarie...

The purpose of this research is to unify and extend the study of the well-known concept of coefficient estimates for some subclasses of analytic functions. We define the new subclass A4r,s of analytic functions related to the four-leaf domain, to increase the adaptability of our investigation. The initial findings are the bound estimates for the co...

In this study, we introduce and investigate a novel subclass of analytic bi-univalent functions, which we define using Gegenbauer polynomials. We derive the initial * Corresponding Author. coefficient bounds for |a2|, |a3|, and |a4|, and establish Fekete-Szegö inequalities for this class. In addition, we confirm that Brannan and Clunie's conjecture...

In this paper, a newsubclass of bi-univalent functions using (p,q) −Chebyshev polynomials was constructed by the authors. Initially, the bounds for the first two coefficients viz., |a2|, |a3| were obtained. Finally, Fekete-Szegö inequalitywas calculated.

An introduction of a new subclass of bi-univalent functions involving Sakaguchi type functions defined by(p, q)-fractional operators using Laguerre polynomials have been obtained. Further, the bounds for initial coefficients |a 2 |, |a 3 | and Fekete Szegö inequality have been estimated.

In this research contribution, we have constructed a subclass of analytic bi-univalent functions using Horadam polynomials. Bounds for certain coefficients and Fekete- Szegö inequalities have been estimated.

The authors have introduced a new subclass of bi-univalent functions consisting of Sakaguchi type functions involving \((\mathfrak {p},\mathfrak {q})\)-derivative operator. Further, the estimation of bounds for \(|a_2|\) and \(|a_3|\) has been obtained. The authors have stated a few examples in this paper.KeywordsAnalytic functionBi-univalent funct...

In this research contribution we have considered two subclasses of bi-univalent functions defined using subordination and studied about the bounds for the pre-Schwarzian norm. Initially Shalini et al. have handled this problem. We have made a remark on the proofs and bounds by Shalini et al.