Multivalent Prestarlike Functions with Respect to Symmetric Points

Abstract

A class of p-valent functions of complex order is defined with the primary motive of unifying the concept of prestarlike functions with various other classes of multivalent functions. Interesting properties such as inclusion relations, integral representation, coefficient estimates and the solution to the Fekete–Szegő problem are obtained for the defined function class. Further, we extended the results using quantum calculus. Several consequences of our main results are pointed out.

Keywords

• multivalent functions
• Jackson’s <i>q</i>-derivative operator
• prestarlike
• starlike and convex functions
• subordination
• Fekete–Szegő problem