Approximation by Complex Potentials Generated by the Euler's Beta Function
Keywords:
Complex potentials, Beta function, Singular integrals, Exact order of approximation.Abstract
In this paper we find the exact orders of approximation of analytic functions in compact disks, by the complex versions of several potentials generated by the Euler's Beta function and by some singular integrals.Downloads
Published
2010-12-31
Issue
Section
Special Issue on Complex Analysis: Theory and Applications
License
Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.
By agreeing to this statement, you acknowledge that:
- You retain full copyright over your work.
- The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
- This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.
How to Cite
Approximation by Complex Potentials Generated by the Euler’s Beta Function. (2010). European Journal of Pure and Applied Mathematics, 3(6), 1150-1164. https://www.ejpam.com/index.php/ejpam/article/view/739