Catalan Numbers

Elena Deza (Autor)

Buch | Hardcover

488 Seiten

2025
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-12-9322-1 (ISBN)

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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 of interest to professionals, students, 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.

Erscheinungsdatum	06.01.2025
Reihe/Serie	Selected Chapters Of Number Theory: Special Numbers ; 4
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
Themenwelt	Mathematik / Informatik ► Mathematik ► Graphentheorie
ISBN-10	981-12-9322-8 / 9811293228
ISBN-13	978-981-12-9322-1 / 9789811293221
Zustand	Neuware