Reduction formulas for higher order derivations and a hypergeometric identity

DOI10.1007/s00010-021-00826-6zbMath1475.39001OpenAlexW3176231766WikidataQ113906392 ScholiaQ113906392MaRDI QIDQ2055251

André E. Kézdy, Bruce R. Ebanks

Publication date: 6 December 2021

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-021-00826-6

zbMATH Keywords

functional equationderivationcommutative ringhypergeometric identitybinomial identityderivation of higher order

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Derivations and commutative rings (13N15) Functional equations for functions with more general domains and/or ranges (39B52) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Systems of functional equations and inequalities (39B72)

Related Items (1)

A remark on an identity involving products of binomial coefficients

Uses Software

• SumTools

Cites Work

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• Homogeneous tri-additive forms and derivations
• On functional equations characterizing derivations: methods and examples
• Polynomially linked additive functions. II
• Characterizing ring derivations of all orders via functional equations: results and open problems
• Hypergeometric summation. An algorithmic approach to summation and special function identities

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