PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Mary Anne Raymond.

Title:q-Tangent numbers and alternating permutations
Seminar:Combinatorics/Partitions Seminar
Speaker:Dr. Ae Ja Yee, Pennsylvania State University
Abstract:
The Euler number E_n counts the number of "alternating permutations" on [n]. It is well known that its exponential generating function equals Tan z + Sec z. For this reason, E_2n and E_2n+1 are called secant numbers and tangent numbers, respectively. Certain polynomials arising in series expansions for zeros of generalized Rogers-Ramanujan functions provide a q-analog of the tangent numbers, which is part of a wider class of polynomials with similar combinatorial interpretations. In this talk, we will discuss various q-tangent numbers. This is joint work with Tim Huber from Iowa State.

Room Reservation Information

Room Number:MB106
Date:01 / 22 / 2008
Time:11:15am - 12:05pm