Extended finite operator calculus -- an example of algebraization of analysis

DOI10.2478/BF02475976zbMath1120.05008arXivmath/0412233MaRDI QIDQ867344

Ewa Borak, Andrzej Krzysztof Kwaśniewski

Publication date: 15 February 2007

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0412233

zbMATH Keywords

extended umbral calculus

Mathematics Subject Classification ID

Umbral calculus (05A40)

Cites Work

• The theory of the umbral calculus. II
• The theory of the umbral calculus. III
• More on the umbral calculus, with emphasis on the \(q\)-umbral calculus
• The theory of the umbral calculus. I
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• On the foundations of combinatorial theory. VIII: Finite operator calculus
• The poweroid, an extension of the mathematical notion of power
• Polynomials Defined by Generating Relations
• A Simpler Characterization of Sheffer Polynomials
• On extended finite operator calculus of rota and quantum groups
• Main theorems of extended finite operator calculus
• Operator expansion in the derivative and multiplication byx
• A Calculus of Sequences
• BASIC INTEGRATION
• Towards \(\psi\)-extension of Rota's finite operator calculus
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