On a Generalized Subclass of p-Valent Meromorphic Functions by Defined q-Derivative Operator

Advances in Mathematical Finance and Applications

مقاله 13، دوره 6، شماره 4، دی 2021، صفحه 869-881   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.22034/amfa.2021.1915740.1518

نویسندگان

Mohammad Hassan Golmohammadi^{* 1}؛ Shahram Najafzadeh²؛ Mohammad Reza Forutan²

¹Department of Mathematics, Payame Noor University, P. O. Bax: 19395 - 3697, Tehran, Iran

²Department of Mathematics, Payame Noor University, P. O. Box: 19395 - 3697, Tehran, Iran

چکیده

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.

کلیدواژه‌ها

Meromorphic functions؛ q-calculus؛ q-derivative؛ ε-neighborhood؛ Financial Problems

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