Integral Operator Product Basic Sets Of Polynomials In n And Their Effectiveness In Closed Hyperelliptic Domains
Keywords:
Integral Operator, Polynomials, Product, Hyperelliptic, DomainsAbstract
This study aimed at investigating the effectiveness, in closed hyperelliptic domains, of the set of polynomials {Pm[z]}m³0 generated by the integral product operator on basic sets. We generate, from a given basic set of polynomials in several complex variables{Pm[z]}m³0 , new basic sets of polynomial {Pm[z]}m³0 generated by the application of the integral operator Ùn to the set {Pm[z]}m³0 . The connection between the old set and the new set is established. All relevant properties relating to the effectiveness in closed hyperelliptic domains are properly deduced.
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