Formal functional calculus for copolynomials over a commutative ring

• Date: 2025
• Main Authors: Gefter, Sergiy L., Piven', Aleksey L.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2025
• Subjects: copolynomial; \(\delta\)-function; formal power series; multiplication of copolynomials; formal functional calculus; 13B25; 46H30; 13J05
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2352
• Journal Title: Algebra and Discrete Mathematics

We study the copolynomials, i.e. \(K\)-linear mappings from the ring of polynomials \(K[x_1,...,x_n]\) into the commutative ring \(K\). With the help of the Cauchy-Stieltjes transform of a copolynomial we introduce and study a multiplication of copolynomials. We build a counterpart of formal functio...