limit relation
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scholarly journals On the Direct Limit from Pseudo Jacobi Polynomials to Hermite Polynomials

Mathematics ◽  
2021 ◽  
Vol 9 (1) ◽  
pp. 88
Author(s):  
Elchin I. Jafarov ◽  
Aygun M. Mammadova ◽  
Joris Van der Jeugt
Keyword(s):  
Quantum Mechanics ◽  
Harmonic Oscillator ◽  
Short Communication ◽  
Jacobi Polynomials ◽  
Direct Limit ◽  
Hermite Polynomials ◽  
Limit Relation ◽  
Exactly Solvable ◽  
Transformation Formulas ◽  
Oscillator Models

In this short communication, we present a new limit relation that reduces pseudo-Jacobi polynomials directly to Hermite polynomials. The proof of this limit relation is based upon 2F1-type hypergeometric transformation formulas, which are applicable to even and odd polynomials separately. This limit opens the way to studying new exactly solvable harmonic oscillator models in quantum mechanics in terms of pseudo-Jacobi polynomials.

scholarly journals On the limit relation for the quantum relative entropy

2017 ◽  
Vol 58 (6) ◽  
pp. 062202
Author(s):  
J. Z. Bernád ◽  
A. B. Frigyik
Keyword(s):  
Relative Entropy ◽  
Limit Relation ◽  
Quantum Relative Entropy

Limit relation between toda chains and the elliptic SL(N, ℂ) top

2012 ◽  
Vol 171 (2) ◽  
pp. 575-588 ◽  
Author(s):  
G. A. Aminov
Keyword(s):  
Limit Relation

On One Limit Relation for Coherent Risk Measures

2011 ◽  
Vol 55 (1) ◽  
pp. 144-153
Author(s):  
L. A. Konovalov
Keyword(s):  
Risk Measures ◽  
Limit Relation ◽  
Coherent Risk Measures ◽  
Coherent Risk

scholarly journals Impurity spectroscopy at its ultimate limit: relation between bulk spectrum, inhomogeneous broadening, and local disorder by spectroscopy of (nearly) all individual dopant molecules in solids

2011 ◽  
Vol 13 (5) ◽  
pp. 1734-1742 ◽  
Author(s):  
Andrei V. Naumov ◽  
Aleksey A. Gorshelev ◽  
Yury G. Vainer ◽  
Lothar Kador ◽  
Jürgen Köhler
Keyword(s):  
Limit Relation ◽  
Inhomogeneous Broadening ◽  
Local Disorder ◽  
Ultimate Limit

scholarly journals Limit relation for quantum entropy and channel capacity per unit cost

2007 ◽  
Vol 48 (9) ◽  
pp. 092102 ◽  
Author(s):  
Imre Csiszár ◽  
Fumio Hiai ◽  
Dénes Petz
Keyword(s):  
Channel Capacity ◽  
Unit Cost ◽  
Limit Relation ◽  
Quantum Entropy

scholarly journals Δ-Sobolev orthogonal polynomials of Meixner type: asymptotics and limit relation

2005 ◽  
Vol 178 (1-2) ◽  
pp. 21-36 ◽  
Author(s):  
I. Area ◽  
E. Godoy ◽  
F. Marcellán ◽  
J.J. Moreno-Balcázar
Keyword(s):  
Orthogonal Polynomials ◽  
Limit Relation ◽  
Sobolev Orthogonal Polynomials

On a limit relation between order statistics and records

2000 ◽  
Vol 99 (2) ◽  
pp. 1149-1153 ◽  
Author(s):  
V. B. Nevzorov
Keyword(s):  
Order Statistics ◽  
Limit Relation
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