A general identity for umbral operators and a special subclass
Kei Beauduin
TL;DR
This paper introduces a universal identity for umbral operators, defines a special subclass with a simplified identity, and characterizes it, supported by examples from umbral calculus.
Contribution
It presents a new universal identity for umbral operators and characterizes a special subclass satisfying a simplified identity.
Findings
Established a universal identity for umbral operators.
Characterized a special subclass with a simplified identity.
Illustrated results with common umbral calculus examples.
Abstract
We prove a new universal identity for umbral operators. This motivates the definition of a subclass satisfying a simplified identity, which we fully characterize. The results are illustrated with common examples of the theory of umbral calculus.
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Holomorphic and Operator Theory · Advanced Algebra and Logic