Abstract
We propose a new method for the calculation of Bessel functions of the first kind of integral order. By using the Laplace transformation, we solve a linear differential equation that defines the generating function for the Bessel functions expressed in terms of continued fractions.
References
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 12, pp. 1704–1705, December, 1995.
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Valeev, K.G., Kostinskii, O.Y. Calculation of Bessel functions by using continued fractions. Ukr Math J 47, 1949–1950 (1995). https://doi.org/10.1007/BF01060968
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DOI: https://doi.org/10.1007/BF01060968