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Symmetry, Integrability and Geometry: Methods and Applications, 2011, Volume 7, 115, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2011.115 (Mi sigma673) 		 
This article is cited in 6 scientific papers (total in 6 papers)

A Connection Formula of the Hahn–Exton $q$-Bessel Function

Takeshi Morita

Graduate School of Information Science and Technology, Osaka University, 1-1 Machikaneyama-machi, Toyonaka, 560-0043, Japan
Full-text PDF (323 kB) Citations (6)
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DOI: https://doi.org/10.3842/SIGMA.2011.115
Abstract: We show a connection formula of the Hahn–Exton $q$-Bessel function around the origin and the infinity. We introduce the $q$-Borel transformation and the $q$-Laplace transformation following C. Zhang to obtain the connection formula. We consider the limit $p\to 1^-$ of the connection formula.
Keywords: Hahn–Exton $q$-Bessel function, $q$-Borel transformation, connection problems.
Received: May 11, 2011; in final form December 14, 2011; Published online December 16, 2011
Bibliographic databases:
Document Type: Article
MSC: 33D15; 34M40; 39A13
Language: English
Citation: Takeshi Morita, “A Connection Formula of the Hahn–Exton $q$-Bessel Function”, SIGMA, 7 (2011), 115, 11 pp.
Citation in format AMSBIB
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\by Takeshi Morita
\paper A Connection Formula of the Hahn--Exton $q$-Bessel Function
\jour SIGMA
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\vol 7
\papernumber 115
\totalpages 11
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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