Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Juan José Moreno Balcázar"'
Publikováno v:
Results in Mathematics. 77
We tackle the study of a type of local asymptotics, known as Mehler–Heine asymptotics, for some q–hypergeometric polynomials. Some consequences about the asymptotic behavior of the zeros of these polynomials are discussed. We illustrate the resul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3aa2150f596435a3a9659e79c326326b
https://doi.org/10.1007/s00025-022-01693-6
https://doi.org/10.1007/s00025-022-01693-6
We consider two sequences of orthogonal polynomials $(P_n)_{n\geq 0}$ and $(Q_n)_{n\geq 0}$ such that $$ \sum_{j=1} ^{M} a_{j,n}\mathrm{S}_x\mathrm{D}_x ^k P_{k+n-j} (z)=\sum_{j=1} ^{N} b_{j,n}\mathrm{D}_x ^{m} Q_{m+n-j} (z)\;, $$ with $k,m,M,N \in \
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e7b01f3b50c82691a43e5248c064a556
Publikováno v:
Applied Mathematics and Computation. 314:65-79
We consider a varying discrete Sobolev inner product such as ( f , g ) S = ∫ f ( x ) g ( x ) d μ + M n f ( j ) ( c ) g ( j ) ( c ) , where μ is a finite positive Borel measure supported on an infinite subset of the real line, c is adequately loca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::032d8ecbb3450b9f590e9bd2ca76a0c5
https://doi.org/10.1016/j.amc.2017.06.020
https://doi.org/10.1016/j.amc.2017.06.020
Publikováno v:
Acta Applicandae Mathematicae. 61:257-266
In this work, we study algebraic and analytic properties for the polynomials { Q n } n ≥ 0, which are orthogonal with respect to the inner product $$ \left( {p,q} \right)s\int_{ - \infty }^{ + \infty } {\left( {p,p'} \right)} \left( {\frac{{1{\mu }
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::70da26250d5f003d182c05e330181493
https://doi.org/10.1023/a:1006478820228
https://doi.org/10.1023/a:1006478820228
Publikováno v:
International Journal of Mathematical Education in Science and Technology. 29:481-487
The problem of polynomial least squares fitting to a set of data leads to a system of linear equations. The solution of such a system is usually considered as something purely technical which lacks interest and is left for students to solve. We consi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c18e8931a890530eea9d9564f6f3acf3
https://doi.org/10.1080/0020739980290402
https://doi.org/10.1080/0020739980290402