Catalan Numbers (Hardcover) (ISBN-13: 9789811293221)

Catalan numbers, named after the French-Belgian mathematician Eug?ne 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.

Author: Elena Deza
ISBN-10: 9811293228
ISBN-13: 9789811293221
Publisher: World Scientific Publishing Company
Language: English
Published: 01/30/2025
Pages: 290
Format: Hardcover
Weight: 1.80lbs
Size: 9.00h x 6.00w x 1.06d