On the coefficients of Neumann series of Bessel functions
Recently Pogány and Süli (Proc. Amer. Math. Soc. 137 (7) (2009) 2363-2368) derived a closed-form integral expression for Neumann series of Bessel functions. In this note we precisely characterize the class of functions α that generate the integral representation of a Neumann series of Bessel functio...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2011
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| Summary: | Recently Pogány and Süli (Proc. Amer. Math. Soc. 137 (7) (2009) 2363-2368) derived a closed-form integral expression for Neumann series of Bessel functions. In this note we precisely characterize the class of functions α that generate the integral representation of a Neumann series of Bessel functions in the sense that the restriction α|N=(αn) of a function α to the set N of all positive integers is the sequence of coefficients of the initial Neumann series. © 2011 Elsevier Inc. |
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