The Bernstein–Sato -function of the Space of Cyclic Pairs

R Walters - Publications of the Research Institute for Mathematical …, 2015 - ems.press
The Bernstein–Sato b-function of the Space of Cyclic Pairs Page 1 Publ. RIMS Kyoto Univ. 51
(2015), 273–288 DOI 10.4171/PRIMS/155 The Bernstein–Sato b-function of the Space of …

[PDF][PDF] Bernstein-Sato polynomials and generalizations

N Budur - Lecture Notes, Rolduc, Abbey, 2013 - math.rwth-aachen.de
1. Classical Bernstein-Sato polynomials Origins: matrix theory and special
functions.•[Cayley]: f= det (xij) with 1≤ i, j≤ n⇒(s+ 1)(s+ 2)...(s+ n) fs= det (∂/∂ xij) fs+ …

Applications of the Shorgin identity to Bernstein type operators

R Goldman, XW Xu, XM Zeng - Results in Mathematics, 2018 - Springer
By establishing an identity between a sequence of Bernstein-type operators and a sequence
of Szász–Mirakyan operators, we prove that the convergence of Bernstein-type operators is …

Commutators and analytic dependence of Fourier-Bessel series on (0,∞)

JJ Guadalupe, M Pérez, JL Varona - Canadian Mathematical Bulletin, 1999 - cambridge.org
In this paper we study the boundedness of the commutators [b, Sn] where b is a BMO
function and Sn denotes the n-th partial sum of the Fourier-Bessel series on (0,∞) …

Multiplicative Thom-Sebastiani for Bernstein-Sato polynomials

J Lee - arXiv preprint arXiv:2402.04512, 2024 - arxiv.org
We show that if $ f\in\mathcal {O} _X (X) $ and $ g\in\mathcal {O} _Y (Y) $ are nonzero
regular functions on smooth complex algebraic varieties $ X $ and $ Y $, then the Bernstein …

[PDF][PDF] About the generalization of Voronovskaja? s theorem

OT Pop - Annals of the University of Craiova-Mathematics and …, 2004 - inf.ucv.ro
About the generalization of Voronovskaja’s theorem Page 1 Annals of University of Craiova,
Math. Comp. Sci. Ser. Volume 31, 2004, Pages 79–84 ISSN: 1223-6934 About the …

Some results on Bernstein-Sato polynomials for parametric analytic functions

R Bahloul - 2006 - projecteuclid.org
This is the second part of a work dedicated to the study of Bernstein-Sato polynomials for
several analytic functions depending on parameters. In this part, we give constructive results …

Nombres de Bernoulli et une formule de Schlömilch–Ramanujan

OV Ogievetskii, VV Schechtman - Moscow Mathematical Journal, 2010 - mathnet.ru
Nous discutons quelques formules qui utilisent les nombres de Bernoulli. Dans la premiere
partie de cet article, on établit un lien étroit entre la formule d'Euler–Maclaurin et l'équation …

Sandwich Bernstein-Sato Polynomials and Bernstein's Inequality

J Jeffries, D Lieberman - arXiv preprint arXiv:2403.13146, 2024 - arxiv.org
Bernstein's inequality is a central result in the theory of $ D $-modules on smooth varieties.
While Bernstein's inequality fails for rings of differential operators on general singularities …

[PDF][PDF] The Voronovskaja theorem for Bernstein-Schurer bivariate operators

D Bărbosu - Revue d'analyse numérique et de théorie de l' …, 2004 - ictp.acad.ro
THE VORONOVSKAJA THEOREM FOR BERNSTEIN-SCHURER BIVARIATE OPERATORS For
the classical Bernstein operator Bm : C([0,1]) → C([0,1 Page 1 REVUE D’ANALYSE NUMÉRIQUE …