3 citations · 6 across the 6 of their papers we have counts for
6 papers
Combinatorics of generalized orthogonal polynomials of type
Jang Soo Kim, Minho Song
In 1995, Ismail and Masson introduced orthogonal polynomials of types \( R_I \) and \( R_{II} \), which are defined by specific three-term recurrence relations with additional cond…
Flow polytopes with Catalan volumes
Sylvie Corteel, Jang Soo Kim, Karola Mészáros
The Chan-Robbins-Yuen polytope can be thought of as the flow polytope of the complete graph with netflow vector . The normalized volume of the Chan-Robbins-Y…
On q-integrals over order polytopes
Jang Soo Kim, Dennis Stanton
A combinatorial study of multiple -integrals is developed. This includes a -volume of a convex polytope, which depends upon the order of -integration. A multiple -integ…
The Combinatorics of Associated Laguerre Polynomials
Jang Soo Kim, Dennis Stanton
The explicit double sum for the associated Laguerre polynomials is derived combinatorially. The moments are described using certain statistics on permutations and permutation table…
A new -Selberg integral, Schur functions, and Young books
Jang Soo Kim, Soichi Okada
Recently, Kim and Oh expressed the Selberg integral in terms of the number of Young books which are a generalization of standard Young tableaux of shifted staircase shape. In this…
A note on 2-distant noncrossing partitions and weighted Motzkin paths
Ira M. Gessel, Jang Soo Kim
We prove a conjecture of Drake and Kim: the number of -distant noncrossing partitions of is equal to the sum of weights of Motzkin paths of length , where the…