TITLE:
Forward (Δ) and Backward (∇) Difference Operators Basic Sets of Polynomials in and Their Effectiveness in Reinhardt and Hyperelliptic Domains
AUTHORS:
Saheed Abayomi Akinbode, Aderibigbe Sheudeen Anjorin
KEYWORDS:
Effectiveness, Cannon Condition, Cannon Sum, Cannon Function, Reinhardt Domain, Hyperelliptic Domain
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.8,
August
29,
2016
ABSTRACT: We generate, from a given basic set of polynomials in several complex variables , new basic sets of polynomials and generated by the application of the Δand ∇ operators to the set . All relevant properties relating to the effectiveness in Reinhardt and hyperelliptic domains of these new sets are properly deduced. The case of classical orthogonal polynomials is investigated in details and the results are given in a table. Notations are also provided at the end of a table.