arXiv subjects
Publications and source records attributed to N. D. Sangle.
The Chebyshev polynomials are utilized in this study to define the subclass of the bi-univalent function. Also, Chebyshev polynomial bounds and Fekete-Szego inequalities for functions defined in the classes are established.
In this paper, we define certain subclass of harmonic univalent function in the unit disc U = {z in C :|z|<1} by using q-differential operator. Also we obtain coefficient inequalities, growth and distortion theorems for this subclass.
In this paper, we study subclass of analytic function with negative coefficient defined by integral operator in the unit disc $U = \left\{ {z \in C:\left| z \right| < 1} \right\}$. The results are included coefficient estimates, closure theorem and distortion theorems of functions belonging to this subclass. Also, we presented detailed study of uniformly convex and uniformly starlike functions.
In this paper, we introduce the class $k$-USH $(u,v,α,λ)$ using Al-Oboudi operator which is a subclass of $k$-uniformly harmonic functions. A subclass $k$-UTH $(u,v,α,λ)$ of $k$-USH $(u,v,α,λ)$ is also been defined and studied in this paper. Extreme points, distortion bounds, convolution condition and convex combination of functions belonging to the class $k$-UTH $(u,v,α, λ)$ are also studied.
In this paper, we introduce the subclass $SHP^{-m}(α,β)$ using integral operator and give sufficient coefficient conditions for normalized harmonic univalent function in the subclass $SHP^{-m}(α,β)$.These conditions are also shown to be necessary when the coefficients are negative.