Geodesic
A Note on the Orthogonality of Jackson's q-Bessel Functions
Canadian mathematical bulletin, Tome 32 (1989) no. 3, pp. 369-376

Voir la notice de l'article provenant de la source Cambridge University Press

A q-analogue of the orthogonality property of the Bessel functions on the zeros is obtained in terms of a q-integral. 
Rahman, Mizan. A Note on the Orthogonality of Jackson's q-Bessel Functions. Canadian mathematical bulletin, Tome 32 (1989) no. 3, pp. 369-376. doi: 10.4153/CMB-1989-054-6
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[1] 1. Erdélyi, A., éd., Higher Transcendental Functions, Vol. II, McGraw-Hill, New York, 1953. Google Scholar

[2] 2. Exton, H., q-Hypergeometric Functions and Applications, Ellis Horwood Ltd., Chichester, U.K., 1983. Google Scholar

[3] 3. Hahn, W., Beitrâge zur théorie der Heineschen Reichen, Math. Nachr. 2 (1949), 340–379. Google Scholar

[4] 4. H, M. E.. Ismail, The zeroes of basic Bessel functions, the function J and associated orthogonal polynomials, J. Math. Anal. Appl., 86 (1982), 1–19. Google Scholar

[5] 5. H, M. E.. Ismail, The basic Bessel functions and polynomials, SIAM J. Math. Anal. 12 (1981), 454–468. Google Scholar

[6] 6. Jackson, F. H., On generalized functions of Le gendre and Bessel, Trans. Roy. Soc. Edin. 41 (1903), 1–28. Google Scholar

[7] 7. Rahman, Mizan, An integral representation and some transformation properties of q-Bessel functions, J. Math. Anal. Appl. 125 (1987), 58–71. Google Scholar

[8] 8. Rahman, Mizan, An addition theorem and some product formulas for q-Bessel functions, Can. J. Math., 40 (1988), 1203–1221. Google Scholar

[9] 9. Some infinite integrals of q-B es sel functions, to appear Google Scholar

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