On a Generalized Subclass of p-Valent Meromorphic Functions by Defined q-Derivative Operator(مقاله علمی وزارت علوم)
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Financial Mathematics is the application of mathematical methods to financial problems. It is shown that p-valent functions play important roles in Financial Mathematics. In this paper, we define a new subclass of meromorphically p-valent functions by using q-derivative operator and fractional q-calculus operator. We obtain some geometric properties of coefficient estimates, extreme points, convex linear combination, radii of starlikeness and convexity. Finally, ε-neighborhood property will be investigated. Financial Mathematics is the application of mathematical methods to financial problems. It is shown that p-valent functions play important roles in Financial Mathematics. In this paper, we define a new subclass of meromorphically p-valent functions by using q-derivative operator and fractional q-calculus operator. We obtain some geometric properties of coefficient estimates, extreme points, convex linear combination, radii of starlikeness and convexity. Finally, ε-neighborhood property will be investigated.