activity
20132020
most citedInitial coefficient bounds for a general class of bi-univalent functions

4 citations · 11 across the 4 of their papers we have counts for

collaborators

7 papers

math.CV20201 cited

Initial estimates for certain subclasses of bi-univalent functions with Fibonacci numbers

N. Magesh, J. Nirmala, J. Yamini

In this work, we consider certain class of bi-univalent functions related with shell-like curves related to Fibonacci numbers. Further, we obtain the estimates of initial Taylo…

math.CV20183 cited

Initial bounds for certain classes of bi-univalent functions defined by Horadam polynomials

Nanjundan Magesh, Jagadeesan Yamini, Chinnaswamy Abirami

Our present investigation is motivated essentially by the fact that, in Geometric Function Theory, one can find many interesting and fruitful usages of a wide variety of special fu…

math.CV2018

Fekete-Szegö inequality of bi-starlike and bi-convex functions of order associated with symmetric -derivative in conic domains

R. B. Sharma, K. Rajya Laxmi, N. Magesh

In this paper, two new subclasses of bi-univalent functions related to conic domains are defined by making use of symmetric -differential operator. The initial bounds for Fekete…

math.CV2018

Certain classes of bi-univalent functions related to Shell-like curves connected with Fibonacci numbers

N. Magesh, V. K. Balaji, C. Abirami

Recently, in their pioneering work on the subject of bi-univalent functions, Srivastava et al. \cite{HMS-AKM-PG} actually revived the study of the coefficient problems involving bi…

math.CV20173 cited

Construction of Toeplitz Matrices whose elements are the coefficients of univalent functions associated with -derivative operator

Nanjundan Magesh, Şahsene Altınkaya, Sibel Yalçın

In this paper, we find the coefficient bounds using symmetric Toeplitz determinants for the functions belonging to the subclass .

math.CV2017

Second Hankel Determinant for certain class of bi-univalent functions defined by Chebyshev polynomials

H. Orhan, N. Magesh, V. K. Balaji

Making use of Chebyshev polynomials, we obtain upper bound estimate for the second Hankel determinant of a subclass of bi-univalent function c…