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Signatur: UBN/SK 180 D532   QR-Code
Standort: Zweigstelle Neuenheim / Freihandbereich Monograph  3D-Plan
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Verfasst von:Deza, Elena [VerfasserIn]   i
Titel:Catalan numbers
Verf.angabe:Elena Deza, Moscow Pedagogical State University, Russia
Verlagsort:New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
Verlag:World Scientific
E-Jahr:2025
Jahr:[2025]
Umfang:xxiii, 461 Seiten
Illustrationen:Diagramme
Gesamttitel/Reihe:Selected chapters of number theory : Special numbers ; volume 4
ISBN:978-981-12-9322-1
Abstract:"Catalan numbers, named after the French-Belgian mathematician Eugène Charles Catalan (1814-1894), arise in a variety of combinatorial problems. They have many interesting properties, a rich history, and numerous arithmetic, number-theoretical, analytical and combinatorial connections, as well as a variety of classical and modern applications. Considering the long list of open problems and questions related to the classical case, its relatives (Bell numbers, Motzkin numbers, Narayana numbers, etc.) and its generalizations, this book provides a broad perspective on the theory of this class of special numbers that will be useful and of interest to both professionals and a general audience. The book begins with the history of the problem, before defining the considered numerical sets. The recurrence equation, closed formula, and generating function are then presented, followed by the simplest properties and number-theoretical properties. Later chapters discuss the relationships between Catalan numbers and other special numbers, as well as their applications and open problems"-- Provided by publisher
Sprache:eng
RVK-Notation:SK 180   i
K10plus-PPN:1901030733
Verknüpfungen:→ Übergeordnete Aufnahme
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UBN/SK 180 D532QR-CodeZweigstelle Neuenheim / Freihandbereich Monographien3D-Planbestellbar
Mediennummer: 10737419

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