arXiv subjects

K. Vijaya

Publications and source records attributed to K. Vijaya.

2 recordsLinked to original sources

arXiv2020

Coefficient Bounds for a subclass of bi-prestarlike functions associated with the Chebyshev Polynomials

In this paper, we introduce and investigate a new subclass of bi-prestarlike functions defined in the open unit disk, associated with Chebyshev Polynomials. Furthermore, we find estimates of first two coefficients of functions in these classes, making use of the Chebyshev polynomials. Also, we obtain the Fekete-Szegö inequalities for function in these classes. Several consequences of the results are also pointed out as corollaries.

math.CV↗

arXiv2017

Sub classes of Bi-Univalent Functions Defined by Salagean type $q-$ Difference Operator

In this paper, we introduce and investigate a new subclass of the function class $Σ$ of bi-univalent functions defined in the open unit disk, which are associated with the Sălăgean type $q-$ difference operator and satisfy some subordination conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients $|a_2|$ and $|a_3|$ for functions in the new subclass introduced here. Several (known or new) consequences of the results are also pointed out. Further we obtain Fekete-Szeg$\ddot{o}$ inequality for the new function class.

math.CV↗