Title of article :
On a Generalized Subclass of p-Valent Meromorphic Functions by Defined 𝑞-Derivative Operator
Author/Authors :
Golmohammadi, Mohammad Hasan Department of Mathematics - Payame Noor University - Tehran, Iran , Najafzadeh, Shahram Department of Mathematics - Payame Noor University - Tehran, Iran , Forutan, Mohammad Reza Department of Mathematics - Payame Noor University - Tehran, Iran
Abstract :
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.
Keywords :
Meromorphic functions , 𝑞-calculus , 𝑞-derivative , Financial Problems
Journal title :
Advances in Mathematical Finance and Applications
