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2018•International Journal of Statistics and Applied MathematicsOpen access

K- bianalytic functions and their related theorems

Hong Li, Tongbo Liu

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Analytic function, Mathematics, Power series, Non-analytic smooth function, Quasi-analytic function, Cauchy's integral formula, Global analytic function, Analytic continuation

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