Convergence of a Catalan Series.
- Resource Type
- Article
- Authors
- Koshy, Thomas; Gao, Zhenguang
- Source
- College Mathematics Journal. Mar2012, Vol. 43 Issue 2, p141-146. 6p.
- Subject
- *CATALAN numbers
*INFINITE series (Mathematics)
*GENERATING functions
*INTEGRAL calculus
*DIFFERENTIAL calculus
*TRIANGULATION
- Language
- ISSN
- 0746-8342
The article focuses on the convergence and the sum of the infinite series of the reciprocals of catalan numbers. It states that the infinite sum is evaluated using generating functions and fundamental tools from the differential and integral calculus. It adds that Catalan numbers Cn are named after Belgian mathematician Eugene Charles Catalan and occur in the study of triangulations of convex polygons, rook moves on a chessboard, and planted binary trees.