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Sibirskii Matematicheskii Zhurnal, 2001, Volume 42, Number 3, Pages 693–698 (Mi smj1453)  
Sonin-type expansions for solutions to a generalized Bessel equation of order $m$ and their application

M. D. Khriptun

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (151 kB)
Abstract: We prove theorems which express a solution to a generalized Bessel equation of order $m$ as a Neumann type series and then apply them to derivation of more complicated relations for products of such solutions, the so-called Bateman type multiplication theorems.
Received: 23.05.1996
English version:
Siberian Mathematical Journal, 2001, Volume 42, Issue 3, Pages 587–592
DOI: https://doi.org/10.1023/A:1010487529505
Bibliographic databases:
UDC: 517.537+517.923 517.588
Language: Russian
Citation: M. D. Khriptun, “Sonin-type expansions for solutions to a generalized Bessel equation of order $m$ and their application”, Sibirsk. Mat. Zh., 42:3 (2001), 693–698; Siberian Math. J., 42:3 (2001), 587–592
Citation in format AMSBIB
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\pages 693--698
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\transl
\jour Siberian Math. J.
\yr 2001
\vol 42
\issue 3
\pages 587--592
\crossref{https://doi.org/10.1023/A:1010487529505}
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    		Сибирский математический журнал Siberian Mathematical Journal
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