The error function occurs widely in multiple areas of mathematics, mathematical physics and natural sciences. There has been no work in this area for the past four decades. In this article, we estimate the coefficient bounds with q-difference operator for certain classes of the spirallike starlike and convex error function associated with convolution product using subordination as well as quasi-subordination. Though this concept is an untrodden path in the field of complex function theory, it will prove to be an encouraging future study for researchers on error function.

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.

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.

The aim of this paper is to establish coefficient bounds for certain classes of analytic functions of complex order associated with the q-derivative operator. Some applications of these results for the functions defined through convolution are also obtained.