### DIMACS - RUTGERS EXPERIMENTAL MATHEMATICS SEMINAR

Sponsored by the Rutgers University Department of Mathematics and the

Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

**Co-organizers:**
**Doron Zeilberger**, Rutgers University, zeilberg {at} math [dot] rutgers [dot] edu
**Nathan Fox**, Rutgers University, fox {at} math [dot] rutgers [dot] edu)

Title: Multi-Parameter Fuss-Catalan Numbers

Speaker: **Sateesh R. Mane**, Convergent Computing

Date: Thursday, October 20, 2016 5:00pm

Location: Hill Center, Room 705, Rutgers University, Busch Campus, Piscataway, NJ

Abstract:

The Fuss-Catalan numbers are a generalization of the more well-known Catalan numbers. The Fuss-Catalan numbers will be defined, also with a short historical sketch. Pertinent recurrence relations, convolution identities, generating functions, etc will be presented. Sample applications to combinatorics, probability & statistics and complex analysis will be shown. The emphasis in this talk will be on the generality of the usefulness of Fuss-Catalan numbers.

See: http://www.math.rutgers.edu/~nhf12/expmath/