Results 81 to 90 of about 978,477 (364)

LU factorizations, q=0 limits, and p-adic interpretations of some q-hypergeometric orthogonal polynomials

, 2006
For little q-Jacobi polynomials and q-Hahn polynomials we give particular q-hypergeometric series representations in which the termwise q=0 limit can be taken. When rewritten in matrix form, these series representations can be viewed as LU factorizations.
A. Okounkov, C. Krattenthaler, C.F. Dunkl, H.T. Koelink, I.G. Macdonald, K.T. Andrews, K.T. Andrews, L. Carlitz, M. Voit, P. Terwilliger, P. Terwilliger, P. Terwilliger, T.H. Koornwinder, Tom H. Koornwinder, U. Onn, Uri Onn, W. Groenevelt   +16 more
core   +2 more sources

Advances in Mode (De)Multiplexing Technologies via Circularly Symmetric Structured Light Beams

Advanced Photonics Research, EarlyView.
This review presents a comprehensive overview of mode (de)multiplexing technologies using circularly symmetric structured light beams, encompassing strategies of beam splitter combinations, multiorder diffractive gratings, optical coordinate transformations, angular dispersion lenses, multilayer cascaded modulations, and multidimensional hybrid (de ...
Qingji Zeng, Shu Chen, Zhibin Wu, Junmin Liu, Huapeng Ye, Gaiqing Zhao, Dianyuan Fan, Shuqing Chen   +7 more
wiley   +1 more source

Landau-Kolmogorov type inequalities in several variables for the Jacobi measure [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 2014
This paper is devoted to Landau-Kolmogorov type inequalities in several variables in L2 norm for Jacobi measures. These measures are chosen in such a way that the partial derivatives of the Jacobi orthogonal polynomials are also orthogonal.
Lamia Abbas, André Draux
doaj  

Determinant inequalities for sieved ultraspherical polynomials

International Journal of Mathematics and Mathematical Sciences, 2001
Paul Turan first observed that the Legendre polynomials satisfy the inequality Pn2(x)−Pn−1(x)Pn(x)>0 ...
J. Bustoz, I. S. Pyung
doaj   +1 more source

A Note on Orthogonal Polynomials [PDF]

Rocky Mountain Journal of Mathematics, 1992
An important and useful identity in the study of asymptotic properties of orthogonal polynomials is the one stating: \(\int_ 0^{2\pi} z^ k| s_ n(z)|^{-2} d\theta=\int_ 0^{2\pi} z^ k d\mu(\theta)\), \(z=e^{i\theta}\), \(| k|\leq n\), \(n=0,1,2,\dots\), where \(d\mu\) is a finite positive Borel measure on the interval \([0,2\pi]\) with support on an ...
openaire   +3 more sources

The impact of Stieltjes' work on continued fractions and orthogonal polynomials

, 1993
Stieltjes' work on continued fractions and the orthogonal polynomials related to continued fraction expansions is summarized and an attempt is made to describe the influence of Stieltjes' ideas and work in research done after his death, with an emphasis ...
A Pringsheim, A Pringsheim, A Seiberg, AA Gonchar, AA Markov, AA Markov, AA Markov, AM Al-Rashed, AS Kronrod, AS Kronrod, B Baillaud, C Berg, C Brezinski, C Hermite, CL Siegel, D Hubert, D Hubert, D Hubert, DS Lubinsky, DV Chudnovsky, DV Chudnovsky, E Cosserat, E Hendriksen, EB Christoffel, EB Vleck Van, EB Vleck Van, EB Vleck Van, F Hausdorff, F Peherstorfer, FWJ Olver, G Darboux, G Darboux, G Freud, G Gasper, G Monegato, G Polya, G Szegö, G Szegö, G Szegő, G Vitali, G Vitali, GH Hardy, GH Hardy, H Bruns, H Hamburger, H Hamburger, H Hamburger, H Padé, H Padé, H Stahl, H Widom, H Widom, H Zaheer, HN Mhaskar, HS Wall, J Favard, JA Shohat, JA Shohat, JL Ullman, K Aomoto, K Possé, K Possé, L Carlitz, L Lorch, L Lorentzen, L Schur, LJ Rogers, LJ Rogers, M Alam, M Fekete, M Prévost, M Riesz, M Tsuji, MEH Ismail, MEH Ismail, MG Krein, MG Krein, MH Stone, ML Mehta, NI Akhiezer, NY Vilenkin, O Njåstad, O Perron, O Perron, P Erdős, P Montel, PG Nevai, PJ Forrester, PL Chebyshev, PL Pastro, R Askey, RA Gustafson, S Karlin, S Karlin, S Karlin, T Carleman, T Carleman, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TJ Stieltjes, TS Chihara, TS Chihara, TS Chihara, W Assche Van, W Gautschi, W Gautschi, W Gautschi, W Hahn, W Ledermann, WB Jones, WB Jones, WB Jones, YL Geronimus   +121 more
core   +2 more sources

Hard‐Magnetic Soft Millirobots in Underactuated Systems

Advanced Robotics Research, EarlyView.
This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang, Zixuan Zhang, Bingyan Li, Junkai Wang, Hongcheng Gu   +4 more
wiley   +1 more source

The orthogonal polynomials generated by [ceteris omissis] [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 1995
Starting from the generating function, a differential-recurrence relation is derived, which is then combined with the three-term pure recurrence formula (a necessary and sufficient condition for orthogonal polynomials) to obtain a differential ...
A.L.W. VON BACHHAUS
doaj  

New families of superintegrable systems from Hermite and Laguerre exceptional orthogonal polynomials [PDF]

, 2012
In recent years, many exceptional orthogonal polynomials (EOP) were introduced and used to construct new families of 1D exactly solvable quantum potentials, some of which are shape invariant.
I. Marquette, C. Quesne
semanticscholar   +1 more source

Companion orthogonal polynomials

Journal of Computational and Applied Mathematics, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources