Zobrazeno 1 - 10
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pro vyhledávání: '"CASTILLO, K."'
Autor:
Castillo, K.
The purpose of this note is twofold: firstly, it intends to bring to light an apparently unknown property of the product of the extreme zeros of Laguerre polynomials, which in a very particular case leads to a twenty-year-old conjecture for Hermite p
Externí odkaz:
http://arxiv.org/abs/2409.09405
Autor:
Castillo, K., Suzuki, A.
Starting from a doubly infinite sequence of complex numbers, the aim of this paper is to extend certain Markov inequalities for the determinant of Hankel matrices and the zeros of the corresponding orthogonal polynomials on the real line (A. Markov i
Externí odkaz:
http://arxiv.org/abs/2406.07104
In [J. Phys. A: Math. Theor. 45 (2012)], while looking for spin chains that admit perfect state transfer, Vinet and Zhedanov found an apparently new sequence of orthogonal polynomials, that they called para-Krawtchouk polynomials, defined on a biline
Externí odkaz:
http://arxiv.org/abs/2311.05636
Autor:
Castillo, K., Mbouna, D.
In his monograph [Classical and quantum orthogonal polynomials in one variable, Cambridge University Press, 2005 (paperback edition 2009)], Ismail conjectured that certain structure relations involving the Askey-Wilson operator characterize proper su
Externí odkaz:
http://arxiv.org/abs/2307.10331
Muography is an imaging technique based on attenuation of the directional muon flux traversing geological or anthropic structures. Several simulation frameworks help to perform muography studies by combining specialised codes from the muon generation
Externí odkaz:
http://arxiv.org/abs/2303.02627
Autor:
Castillo, K.
Publikováno v:
Appl. Math. Comput., 437 (2023) 127546
The main result proved in [The eigenvalues of a tridiagonal matrix in biogeography, Appl. Math. Comput. 218 (2011) 195-201; MR2821464] by B. Igelnik and D. Simon is virtually the Sylvester determinant.
Externí odkaz:
http://arxiv.org/abs/2310.04554
Autor:
Castillo, K.
It is proved that $$\left(\frac{x^n}{1-e^{-x}}\right)^{(n)}>0$$ for all $x\in (\log 2, \infty)$ and $n\in \mathbb{N}$, which improves the result of [Al-Musallam and Bustoz in Ramanujan J. 11 (2006) 399-402].
Externí odkaz:
http://arxiv.org/abs/2210.14693
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. In addition, we also present the functional Rodrigues formula and a
Externí odkaz:
http://arxiv.org/abs/2209.04615
Autor:
Castillo, K., Mbouna, D.
In an earlier work [K. Castillo et al., J. Math. Anal. Appl., 514 (2022) 126358], we give positive answer to the first, and apparently more easy, part of a conjecture of M. Ismail concerning the characterization of the continuous $q$-Jacobi polynomia
Externí odkaz:
http://arxiv.org/abs/2206.08375
Autor:
Castillo, K., Mbouna, D.
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].
Externí odkaz:
http://arxiv.org/abs/2202.02637