125 citations · 131 across the 16 of their papers we have counts for
10 papers · 1 filter
Bounds on the coefficients of certain analytic and univalent functions
K. O. Babalola
For the real number , we use a technique due to Nehari and Netanyahu and an application of certain integral iteration of Caratheodory functions to find the best-possible upper…
New Subclasses of Analytic and Univalent Functions Involving Certain Convolution Operators
K. O. Babalola
Let be the open unit disk . Let be the class of analytic functions in , which have the form . We define operators $L_n^σ\c…
A sharp inclusion theorem for a certain class of analytic functions defined by the Salagean derivative
K. O. Babalola, T. O. Opoola
In this short note we employ the Briot-Bouquet differential subordination to determine the best possible inclusion relation within a certain family of analytic functions defined by…
Some Applications of a Lemma Concerning Analytic Functions Having Positive Real Parts in the Unit Disk
T. O. Opoola, K. O. Babalola
In this paper we give some applications of a lemma of Babalola and Opoola \cite{BO}, which is a classical extension of an earlier one by Lewandowski, Miller and Zlotkiewicz \cite{L…
On some functionals associated with certain coefficient problems
K. O. Babalola
Under certain conditions, we obtain sharp bounds on some functionals defined in the coefficient space of starlike functions. It has been found that the functionals are closely asso…
An invitation to the theory of geometric functions
K. O. Babalola
This note is an invitation to the theory of geometric functions. The foundation techniques and some of the developments in the field are explained with the mindset that the audienc…