Factorizations of bivariate Taylor series via inverse power products

DOI10.1007/s11139-020-00355-xzbMath1496.41013OpenAlexW3135345271WikidataQ114223578 ScholiaQ114223578MaRDI QIDQ2075063

Mohamed Elewoday, Jocelyn Quaintance, Harry Gingold

Publication date: 11 February 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-020-00355-x

zbMATH Keywords

partitionsconvergencegenerating functionsanalytic functionsinfinite productsstructure propertyFormal seriesinverse power product expansions in two independent variablespower series in two independent variables

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Approximation in the complex plane (30E10) Elementary theory of partitions (11P81) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Cites Work

• Approximations of analytic functions via generalized power product expansions
• Topics from the theory of numbers
• Factorization of matrix functions and their inverses via power product expansions
• A Course in Multivariable Calculus and Analysis
• Analytic Properties of Power Product Expansions
• Vector Partitions and Combinatorial Identities
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