Chebychev Polynomials of the First Kind and Whittakers constant

Authors

  • Aderibigbe Anjorin

  • Saheed Akinbode

Keywords:

provide the conditions required, the domain of effectiveness, order and type of the polynomials

Abstract

In this paper, we provide the conditions required for the Chebychev polynomials of the first kind to be a basic set. Then, we prove that the domain of effectiveness is a unit disc related to the radius R of convergence of the associated basic series of . W e then give the Cannon condition satisfied by and the corresponding Whittaker's constant which is better than that obtained in the previous works using the Goncharov's polynomials. The order and type of the polynomials are also given.

How to Cite

Aderibigbe Anjorin, & Saheed Akinbode. (2015). Chebychev Polynomials of the First Kind and Whittakers constant. Global Journal of Science Frontier Research, 15(F2), 19–35. Retrieved from https://journalofscience.org/index.php/GJSFR/article/view/1533

Chebychev Polynomials of the First Kind and Whittakers constant

Published

2015-01-15