Uniform convergence of basic Fourier–Bessel series on a q-linear grid-Reference-Cited by-同舟云学术

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Uniform convergence of basic Fourier–Bessel series on a q-linear grid

Published:2018-09-20 Issue:2 Volume:49 Page:421-449
ISSN:1382-4090
Container-title:The Ramanujan Journal
language:en
Short-container-title:Ramanujan J

Author:

Abreu L. D.,Álvarez-Nodarse R.,Cardoso J. L.

Funder

Austrian Science Fund

Fundação para a Ciência e a Tecnologia

Ministerio de Economía y Competitividad

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Link

http://link.springer.com/content/pdf/10.1007/s11139-018-0070-3.pdf

Reference48 articles.

1. Abreu, L.D.: A $$q$$ q -Sampling theorem related to the $$q$$ q -Hankel transform. Proc. Am. Math. Soc. 133(4), 1197–1203 (2005)

2. Abreu, L.D.: Functions $$q$$ q -orthogonal with respect to their own zeros. Proc. Am. Math. Soc. 134(9), 2695–2701 (2006)

3. Abreu, L.D.: Real Paley-Wiener theorems for the Koornwinder-Swarttouw $$q$$ q -Hankel transform. J. Math. Anal. Appl. 334, 223–231 (2007)

4. Abreu, L.D., Bustoz, J., Cardoso, J.L.: The roots of the third Jackson q-Bessel function. Int. J. Math. Math. Sci. 67, 4241–4248 (2003)

5. Abreu, L.D., Bustoz, J.: On the completeness of sets of q-Bessel functions $$J_{\nu }^{(3)}(x;q)$$ J ν ( 3 ) ( x ; q ) . In: Ismail, M.E.H., Koelink, H.T. (eds.) Theory and Applications of Special Functions. A volume dedicated to Mizan Rahman. Dev. Math., vol. 13, pp. 29–38. Springer, New York (2005)

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