Information entropy of Gegenbauer polynomials

Journal of Physics A: Mathematical and General

Volumn 33, Issue 37, 2000, Pages 6549-6560

  Buyarov, S V ^a,b   Lopez Artes P ^c   Martinez Finkelshtein A ^c,d   Van Assche, W ^e  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b KELDYSH INSTITUTE OF APPLIED MATHEMATICS   (Russian Federation)

^c UNIVERSITY OF ALMERÍA   (Spain)

^d UNIVERSITY OF GRANADA   (Spain)

^e UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040194108     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/33/37/307     Document Type: Article

References (9)

1. Abramowitz M and Stegun I A 1965 Handbook of Mathematical Functions (New York: Dover)
2. p-norms and the entropy for general orthogonal polynomials RUSS. Acad. Sci. Sb. Math. 82 373-95
3. Aptekarev A I, Dehesa J S and Yáñez R J 1994 Spatial entropy of central potentials and strong asymptotics of orthogonal polynomials J. Math. Phys. 35 4423-8
4. Buyarov V S 1997 On information entropy of Gegenbauer polynomials Vesnt. Mosk. Univ., Ser. 1 6 8-11 (In Russian)
5. Dehesa J S, Van Assche W and Yáñez R J 1997 Information entropy of classical orthogonal polynomials and their application to the harmonic oscillator and Coulomb potentials Methods Appl. Anal. 491-110
6. Henrici P 1988 Applied and Computational Complex Analysis vol I (Wiley Classics Library Edition) (New York: Wiley)
7. Szego G 1975 Orthogonal Polynomials 4th edn (Am. Math. Soc. Colloq. Publ. vol 23) (Providence, RI: American Mathematical Society)
8. Watson G N 1966 A Treatise on the Theory of Bessel Functions 2nd edn (Cambridge: Cambridge University Press)
9. Yáñez R J, Van Assche W and Dehesa J S 1994 Position and momentum information entropies of the D-dimensional harmonic oscillator and hydrogen atom Phys. Rev. A 50 3065-79