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K- bianalytic functions and their related theorems

Abstract

In this paper, we present the concept of K-l analytic functions on the complex plane and discuss the properties of the K-l analytic functions. Then we give the expression of K-l analytic functions and proved the Cauchy integral formula of K-l analytic functions. Also, the power series expansion theorem and the Fourier series of K-l analytic function were proved in this study.

Functional Equations Stability ResultsAnalytic functionMathematicsPower seriesNon-analytic smooth functionQuasi-analytic functionCauchy's integral formulaGlobal analytic functionAnalytic continuationComplex-valued functionFourier series
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