This article presents a new q-analog integral operator, which generalizes the q-Srivastava–Attiya operator. Using this we define family of analytic non-Bazilevi? functions, denoted as Tq,?+1,u?(?,?,M,N). Furthermore, investigate differential subordination properties univalent functions using q-calculus, includes best dominance, subordination, and sandwich-type properties. Our results are proven...

in this paper‎, ‎we introduce a new class$t_{k}^{s,a}[a,b,alpha‎ ,‎beta ]$ of analytic functions by using a‎ ‎newly defined convolution operator‎. ‎this class contains many known classes of‎ ‎analytic and univalent functions as special cases‎. ‎we derived some‎ ‎interesting results including inclusion relationships‎, ‎a radius problem and‎ ‎sharp coefficient bound for this class‎.

Abstract. We introduce a new subclass corresponding to the class of k−uniformly convex and starlike functions associated with HurwitzLerch zeta functions and determine many properties like the coefficient estimates, extreme points, closure theorem, distortion bounds, radii of starlikeness and convexity. Furthermore, we obtain an integral transform results, neighborhood results, integral means i...

E. A. Elrifai, H. E. Darwish, and A. R. Ahmed Faculty of Science, Mansoura University, Mansoura 35516, Egypt Correspondence should be addressed to H. E. Darwish, [email protected] Received 25 March 2010; Accepted 14 July 2010 Academic Editor: Ram N. Mohapatra Copyright q 2010 E. A. Elrifai et al. This is an open access article distributed under the Creative Commons Attribution License, which...