Turán inequalities for symmetric askey-wilson polynomials

Rocky Mountain Journal of Mathematics

Volumn 30, Issue 2, 2000, Pages 401-409

  Abreu, L D ^a   Bustoz, J ^b  

^a UNIVERSITY OF COIMBRA   (Portugal)

^b ARIZONA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034196822     PISSN: 00357596     EISSN: None     Source Type: Journal    
DOI: 10.1216/rmjm/1022009272     Document Type: Article

References (9)

1. R. Askey J. and Wilson, Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials, Mem. Amer. Math. Soc. 54 (1985).
2. M.N. Bajaj, The Turan expressions, M.Sc. Thesis, University of Alberta, Edmonton, Canada, 1969.
3. J. Bustoz and M.E.H. Ismail, Turan inequalities for ultraspherical and continuous q-ultraspherical polynomials, SIAM J. Math. Anal. 14 (1983), 807-818.
4. J. Bustoz and M.E.H. Ismail, Turan inequalities for symmetric orthogonal polynomials, Internat. J. Math. Math. Sci. 20 (1997), 1-8.
5. G. Gasper, On the extension of Turan’s inequality to Jacobi polynomials, Duke Math. J. 38 (1971), 415-428.
6. G. Gasper and M. Rahman, Basic hypergeometric series, Encyclopedia of Mathematics 35, Cambridge, 1990.
7. O. Szasz, Inequalities concerning ultraspherical polynomials and Bessel functions, Proc. Amer. Math. Soc. 1 (1950), 256-267.
8. G. Szego, On an inequality of P. Turan concerning Legendre Polynomials, Bull. Amer. Math. Soc. 54 (1948), 401-405.
9. P. Turan, On the zeros of the polynomials of Legendre, Casopis pro Pestorani Matematik y a Fysiky 75 (1950), 113-122.