Chebychev Polynomials of the first Kind and Whittaker's Constant

Aderibigbe Anjorin; Saheed Akinbode

Authors

Aderibigbe Anjorin
Saheed Akinbode

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 Tn(z)n≥0 19 to be a basic set. Then, we prove that the domain of effectiveness is a unit disc D(R) = (0,1) related to the radius R of convergence of the associated basic series of Tn(z)n≥0 . We then give the Cannon condition satisfied by Tn(z)n≥0 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.

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How to Cite

Chebychev Polynomials of the first Kind and Whittaker’s Constant. (2015). Global Journal of Science Frontier Research, 15(4), 19-35. https://journalofscience.org/index.php/GJSFR/article/view/

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