q-Laguerre and Wall polynomials are related by the Fourier-Gauss transform

Journal of Physics A: Mathematical and General

Volumn 30, Issue 13, 1997, Pages

  Atakishiyeva, M K ^a   Atakishiyev, N M ^b,c  

^a UNIVERSIDAD AUTÓNOMA DEL ESTADO DE MORELOS   (Mexico)

^b INSTITUTO DE CIENCIAS FÍSICAS   (Mexico)

^c INSTITUTE OF PHYSICS   (Azerbaijan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031558088     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/13/001     Document Type: Review

References (18)

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4. Gasper G and Rahman M 1990 Basic Hypergeometric Series (Cambridge: Cambridge University Press)
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8. Ismail M E H and Rahman M 1997 The q-Laguerre and related moment problems J. Math. Anal. Appl. submitted
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10. v+ax(x) and the associated orthogonal polynomials J. Math. Anal. Appl. 86 1-19
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13. Ismail M E H 1997 Some properties of Jackson's third q-Bessel function J. Approx. Theory to appear
14. Atakishiyev N M 1997 Fourier-Gauss transforms of q-exponential and q-Bessel functions Proc. 2nd Conf. 'Symmetries and Integrability of Difference Equations' (University of Kent, Canterbury, 1-5 July 1996) to appear
15. Atakishiyev N M and Nagiyev Sh M 1994 On the wave functions of a covariant linear oscillator Theor. Math. Phys. 98 162-166 Atakishiyev N M and Nagiyev Sh M 1994 On the Rogers-Szegö polynomials J. Phys. A: Math. Gen. 27 L611-5
16. Atakishiyev N M and Nagiyev Sh M 1994 On the wave functions of a covariant linear oscillator Theor. Math. Phys. 98 162-166 Atakishiyev N M and Nagiyev Sh M 1994 On the Rogers-Szegö polynomials J. Phys. A: Math. Gen. 27 L611-5
17. Atakishiyev N M 1996 On a one-parameter family of q-exponential functions J. Phys. A: Math. Gen. 29 L223-7 Atakishiyev N M 1996 On the Fourier-Gauss transforms of some q-exponential and q-trigonometric functions J. Phys. A: Math. Gen. 29 7177-81
18. Atakishiyev N M 1996 On a one-parameter family of q-exponential functions J. Phys. A: Math. Gen. 29 L223-7 Atakishiyev N M 1996 On the Fourier-Gauss transforms of some q-exponential and q-trigonometric functions J. Phys. A: Math. Gen. 29 7177-81