On coefficients of Kapteyn-type series

Rok, strany: 2014, 403 - 410

Quite recently Jankov and Pogány [JANKOV, D.---POGÁNY, T. K.: Integral representation of Schlömilch series, J. Classical Anal. 1 (2012) 75--84] derived a double integral representation of the Kapteyn-type series of Bessel functions. Here we completely describe the class of functions $\Lambda = \{\alpha\}$, which generate the mentioned integral representation in the sense that the restrictions $\alpha|_{\mathbb{N}}=(\alpha_n)_{n\in\mathbb{N}}$ is the sequence of coefficients of the input Kapteyn-type series.

ISO 690:

Jankov, D., Pogány, T. 2014. On coefficients of Kapteyn-type series. In Mathematica Slovaca, vol. 64, no.2, pp. 403-410. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0213-y

APA:

Jankov, D., Pogány, T. (2014). On coefficients of Kapteyn-type series. Mathematica Slovaca, 64(2), 403-410. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0213-y