## Combinatorics and Graph Theory

•  Aklilu Zeleke, MSU
•  New and Old Combinatorial Identities Part I
•  10/16/2019
•  3:00 PM - 3:50 PM
•  C304 Wells Hall

Binomial coefficients $n \choose k$ appear in different areas of mathematics (in Pascal's triangle, counting problems and computing probabilities to name few). There are also many identities that involve binomial coefficients. In this talk we will discuss new and old identities that represent positive integers and in some cases real numbers. These identities are derived from studying the asymptotic behavior of the roots of a generalized Fibonacci polynomial sequence given by $F_{j}(x)=x^{j}-...-x-1$.

## Contact

Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science