Calculation of Bessel functions by using continued fractions

• Дата: 1995
• Автори: Valeyev, K. G., Kostinskii, O. Ya., Валеев, К. Г., Костинский, О. Я.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1995
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/5564
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.