Key words: In recent years, applications of Bessel functions have been effectively used in the modelling of chemical engineering processes and theory of univalent functions.In this paper, we study a new class of analytic and univalent functions with negative coefficients in the open unit disk defined by Modified Hadamard product withBessel function. We obtain coefficient bounds and exterior points for this new class.

Sigmoid function is an novel concept in the area of univalent function theory. Recently (O. A. Fadipe-Joseph , 2013) introduced and studied the sigmoid function and few classes were discussed in past few years . In this present work, we obtain the first few coefficients of the class and estimates the relevant connection to the famous classical Fekete-Szegö inequality of functions belonging to the class. The authors sincerely hope that this article will revive this concept and encourage other researchers to work in this sigmoid function.

In the present work, the authors are focusing to study the best possible upper bound to the second Hankel determinants of the univalent error functions in the open disk using subordination.

The aim of this paper is to establish the Fekete-Szegö Inequality for certain classes of analytic functions which is associated with Srivastava-Attiya integral operator. Certain applications of these results for the functions defined through convolution are also obtained.

Interval graphs have drawn the attention of many researchers for over 30 years. They are extensively been studied and revealed their practical relevance for modeling problems arising in the real world. The theory of domination in graphs is an enriching area of research at present. In this paper we discuss matching domination number of interval graphs and propose an algorithm for finding matching dominating sets in interval graphs.