14 citations · 19 across the 5 of their papers we have counts for
5 papers
Dunkl-Supersymmetric Orthogonal functions associated with classical orthogonal polynomials
Yu Luo, Satoshi Tsujimoto, Luc Vinet +1
We consider the eigenvalue problem associated with the Dunkl-type differential operator (in which the reflection operator R is involved) L = dx R + v(x), (v(-x) = -v(x)), in the co…
Exceptional Bannai-Ito polynomials
Yu Luo, Satoshi Tsujimoto
We construct a non-trivial type of 1-step exceptional Bannai-Ito polynomials which satisfy discrete orthogonality by using a generalized Darboux transformation. In this generalizat…
Zeros of exceptional orthogonal polynomials and the maximum of the modulus of an energy function
Yu Luo
We propose a new property of the zeros of exceptional orthogonal polynomials. It has been known that exceptional orthogonal polynomials (XOP) have both real and complex zeros. By f…
The elementary symmetric functions of a reciprocal polynomial sequence
Yuanyuan Luo, Shaofang Hong, Guoyou Qian +1
Erdös and Niven proved in 1946 that for any positive integers and , there are at most finitely many integers for which at least one of the elementary symmetric functions…
Uniform lower bound for the least common multiple of a polynomial sequence
Shaofang Hong, Yuanyuan Luo, Guoyou Qian +1
Let be a positive integer and be a polynomial with nonnegative integer coefficients. We prove that except that…