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Volumn 145, Issue 1, 2007, Pages 55-80

Shannon entropy of symmetric Pollaczek polynomials

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EID: 33847020002     PISSN: 00219045     EISSN: 10960430     Source Type: Journal    
DOI: 10.1016/j.jat.2006.06.007     Document Type: Article
Times cited : (4)

References (24)
  • 3
    • 22544459932 scopus 로고    scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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
  • 14
    • 0042843304 scopus 로고    scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.