-
3
-
-
22544459932
-
Asymptotic upper bounds for the entropy of orthogonal polynomials in the Szego{combining double acute accent} class
-
Beckermann B., Martínez-Finkelshtein A., Rakhmanov E.A., and Wielonsky F. Asymptotic upper bounds for the entropy of orthogonal polynomials in the Szego{combining double acute accent} class. J. Math. Phys. 45 (2004) 4239-4254
-
(2004)
J. Math. Phys.
, vol.45
, pp. 4239-4254
-
-
Beckermann, B.1
Martínez-Finkelshtein, A.2
Rakhmanov, E.A.3
Wielonsky, F.4
-
4
-
-
0000617016
-
Uncertainty relations for information entropy in wave mechanics
-
Bialynicki-Birula I., and Mycielsky J. Uncertainty relations for information entropy in wave mechanics. Commun. Math. Phys. 44 (1975) 129-132
-
(1975)
Commun. Math. Phys.
, vol.44
, pp. 129-132
-
-
Bialynicki-Birula, I.1
Mycielsky, J.2
-
5
-
-
0002441861
-
On information entropy of Gegenbauer polynomials
-
(in Russian)
-
Buyarov V.S. On information entropy of Gegenbauer polynomials. Vestnik Moskow Univ. Ser. 1 6 (1997) 8-11 (in Russian)
-
(1997)
Vestnik Moskow Univ. Ser.
, vol.1
, Issue.6
, pp. 8-11
-
-
Buyarov, V.S.1
-
6
-
-
0000990743
-
Asymptotics of the information entropy for Jacobi and Laguerre polynomials with varying weights
-
Buyarov V.S., Dehesa J.S., Martínez-Finkelshtein A., and Saff E.B. Asymptotics of the information entropy for Jacobi and Laguerre polynomials with varying weights. J. Approx. Theory 99 (1999) 153-166
-
(1999)
J. Approx. Theory
, vol.99
, pp. 153-166
-
-
Buyarov, V.S.1
Dehesa, J.S.2
Martínez-Finkelshtein, A.3
Saff, E.B.4
-
10
-
-
0002406120
-
Information entropy of classical orthogonal polynomials and their application to the harmonic oscillator and Coulomb potentials
-
Dehesa J.S., Van Assche W., and Yáñez R.J. Information entropy of classical orthogonal polynomials and their application to the harmonic oscillator and Coulomb potentials. Methods Appl. Anal. 4 (1997) 91-110
-
(1997)
Methods Appl. Anal.
, vol.4
, pp. 91-110
-
-
Dehesa, J.S.1
Van Assche, W.2
Yáñez, R.J.3
-
11
-
-
0032393148
-
Strong asymptotics of Laguerre polynomials and information entropies of 2D harmonic oscillator and 1D Coulomb potentials
-
Dehesa J.S., Yáñez R.J., Aptekarev A.I., and Buyarov V.S. Strong asymptotics of Laguerre polynomials and information entropies of 2D harmonic oscillator and 1D Coulomb potentials. J. Math. Phys. 39 (1998) 3050-3060
-
(1998)
J. Math. Phys.
, vol.39
, pp. 3050-3060
-
-
Dehesa, J.S.1
Yáñez, R.J.2
Aptekarev, A.I.3
Buyarov, V.S.4
-
12
-
-
0003498504
-
-
Academic Press, San Diego, CA
-
Gradshtein I.S., and Ryzhik I.M. Table of Integrals, Series and Products. fifth ed. (1995), Academic Press, San Diego, CA
-
(1995)
Table of Integrals, Series and Products. fifth ed.
-
-
Gradshtein, I.S.1
Ryzhik, I.M.2
-
14
-
-
0042843304
-
Asymptotics for entropy integrals associated with exponential weights
-
Levin E., and Lubinsky D.S. Asymptotics for entropy integrals associated with exponential weights. J. Comput. Appl. Math. 156 (2003) 265-283
-
(2003)
J. Comput. Appl. Math.
, vol.156
, pp. 265-283
-
-
Levin, E.1
Lubinsky, D.S.2
-
16
-
-
0000031040
-
Strong and weak convergence of orthogonal polynomials
-
Máté A., Nevai P., and Totik V. Strong and weak convergence of orthogonal polynomials. Amer. J. Math. 109 (1987) 239-282
-
(1987)
Amer. J. Math.
, vol.109
, pp. 239-282
-
-
Máté, A.1
Nevai, P.2
Totik, V.3
-
19
-
-
0005458898
-
On the asymptotics of the ratio of orthogonal polynomials
-
Rakhmanov E.A. On the asymptotics of the ratio of orthogonal polynomials. Math. USSR Sb. 32 (1977) 199-213
-
(1977)
Math. USSR Sb.
, vol.32
, pp. 199-213
-
-
Rakhmanov, E.A.1
-
21
-
-
0037095342
-
On the asymptotic expansion of the entropy of Gegenbauer polynomials
-
Sánchez Lara J.F. On the asymptotic expansion of the entropy of Gegenbauer polynomials. J. Comput. Appl. Math. 142 (2002) 401-409
-
(2002)
J. Comput. Appl. Math.
, vol.142
, pp. 401-409
-
-
Sánchez Lara, J.F.1
-
22
-
-
33847063994
-
-
G. Szego{combining double acute accent}, Orthogonal Polynomials, fourth ed., American Mathematical Society Colloqium Publication, vol. 23, American Mathematical Society, Providence, RI, 1975.
-
-
-
-
23
-
-
34547109818
-
Position and momentum information entropies of the D-dimensional harmonic oscillator and hydrogen atom
-
Yáñez R.J., Van Assche W., and Dehesa J.S. Position and momentum information entropies of the D-dimensional harmonic oscillator and hydrogen atom. Phys. Rev. A 50 (1994) 3065-3079
-
(1994)
Phys. Rev. A
, vol.50
, pp. 3065-3079
-
-
Yáñez, R.J.1
Van Assche, W.2
Dehesa, J.S.3
-
24
-
-
0033228877
-
Entropic integrals of hyperspherical harmonics and spatial entropy of D-dimensional central potentials
-
Yáñez R.J., Van Assche W., González-Férez R., and Dehesa J.S. Entropic integrals of hyperspherical harmonics and spatial entropy of D-dimensional central potentials. J. Math. Phys. 40 (1999) 5675-5686
-
(1999)
J. Math. Phys.
, vol.40
, pp. 5675-5686
-
-
Yáñez, R.J.1
Van Assche, W.2
González-Férez, R.3
Dehesa, J.S.4
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