journal article
Jan 01, 1995
Orthogonality of Askey-Wilson polynomials with respect to a measure of Ramanujan type
Theoretical and Mathematical Physics
Vol. 102
No. 1
pp. 23-28
·
Springer Science and Business Media LLC
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References
13
[1]
R. Askey and J. A. Wilson, “Some basic hypergeometrical orthogonal polynomials that generalize Jacobi polynomials,”Mem. Am. Math. Soc., N319 (1985).
10.1090/memo/0319
[2]
N. M. Atakishiev,Teor. Mat. Fiz.,99, 155 (1994).
[3]
E. T. Whittaker and G. N. Watson,A Course of Modern Analysis, Cambridge (1965).
[4]
G. Gasper and M. Rahman,Basic Hypergeometric Series, C.U.P., Cambridge (1990).
[5]
R. Askey and M. E. H. Ismail, “A generalization of ultraspherical polynomials,” in:Studies in Pure Mathematics (ed. P. Erdös), Birkhäuser, Boston (1983), p. 55.
10.1007/978-3-0348-5438-2_6
[6]
S. Ramanujan,The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi (1988).
[7]
R. Askey,Proc. Am. Math. Soc.,85, 192 (1982).
10.1090/s0002-9939-1982-0652440-2
[8]
F. M. Morse and H. Feshbach,Methods of Theoretical Physics, Vol. 1, McGraw Hill, New York (1953).
[9]
N. M. Atakishiev and Sh. M. Nagiev,Teor. Mat. Fiz.,98, 241 (1994).
[10]
G. E. Andrews and R. Askey,Classical Orthogonal Polynomials, Lecture Notes in Mathematics, Vol. 1171, Springer-Verlag, Berlin (1985), p. 36.
[11]
N. Wiener,Fourier Integral and Certain of Its Applications, Dover (1933).
[12]
R. Askey, N. M. Atakishiyev, and S. K. Suslov, “An analog of the Fourier transformation for aq-harmonic oscillator,” IAE-5611, Kurchatov Institute, Moscow (1993);Symmetries in Science, Vol. 6 (ed. B. Gruber), Plenum Press, New York (1993), p. 57.
[13]
M. Rahman and S. K. Suslov, “Singular analog of the Fourier transformation for the Askey-Wilson polynomials,” CRM-1915, Centre de Recherches Mathématiques, Montreal (1993).
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- Published
- Jan 01, 1995
- Vol/Issue
- 102(1)
- Pages
- 23-28
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N. M. Atakishiev (1995). Orthogonality of Askey-Wilson polynomials with respect to a measure of Ramanujan type. Theoretical and Mathematical Physics, 102(1), 23-28. https://doi.org/10.1007/bf01017450
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