10 citations · 11 across the 2 of their papers we have counts for
7 papers · 1 filter
Nehari's univalence criteria, pre-Schwarzian derivative and applications
Sarita Agrawal, Swadesh Kumar Sahoo
In this paper we study sharp estimates of pre-Schwarzian derivatives of functions belonging to the Nehari-type classes by using techniques from differential equations. In the seque…
On a generalization of starlike functions
Sarita Agrawal
In this paper, we mainly study the order of -starlikeness of the well-known basic hypergeometric function. In addition, we obtain the Bieberbach-type problem for a generalized c…
Coefficient estimates for some classes of functions associated with \(q\)-function theory
Sarita Agrawal
In this paper, for every , we obtain the Herglotz representation theorem and discuss the Bieberbach type problem for the class of -convex functions of order $α, 0\leα…
Radius of convexity of partial sums of odd functions in the close-to-convex family
Sarita Agrawal, Swadesh Kumar Sahoo
We consider the class of all analytic and locally univalent functions of the form , , satisfying the condition $$ {\rm Re}\,\…
On coefficient functionals associated with the Zalcman conjecture
Sarita Agrawal, Swadesh Kumar Sahoo
We consider certain subfamilies, of the family of univalent functions in the open unit disk, defined by means of sufficient coefficient conditions for univalency. This article is d…
Geometric properties of basic hypergeometric functions
Sarita Agrawal, Swadesh Sahoo
In this paper we consider basic hypergeometric functions introduced by Heine. We study mapping properties of certain ratios of basic hypergeometric functions having shifted paramet…
A generalization of starlike functions of order alpha
Sarita Agrawal, Swadesh K. Sahoo
For every and we define a class of analytic functions, the so-called -starlike functions of order , on the open unit disk. We study this class of funct…