K. Castillo

activity

20152026

most citedRemark on the eigenvalues of a tridiagonal matrix in biogeography

1 citations · 1 across the 21 of their papers we have counts for

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math.CA2022

On the positivity of a certain function related with the Digamma function

K. Castillo

It is proved that $(\frac{x ^{n}}{1 - e ^{- x}})^{(n)} > 0$ for all $x \in (lo g 2, \infty)$ and $n \in N$ , which improves the result of [Al-Musallam and Bustoz in Raman…

math.CA2022

On classical orthogonal polynomials on lattices and some characterization theorems

K. Castillo, D. Mbouna, J. Petronilho

In this chapter are given necessary and sufficient conditions for the regularity of solutions of the functional equation appearing in the theory of classical orthogonal polynomials…

math.CA2022

Proof of two conjectures on Askey-Wilson polynomials

K. Castillo, D. Mbouna

We give positive answer to two conjectures posed by M. E. H Ismail in his monograph [Classical and quantum orthogonal polynomials in one variable, Cambridge University Press, 2005]…