介绍贝塞尔函数及其性质

Pub Date : 2017-01-01 DOI:10.12988/JITE.2017.723

W. Robin

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引用次数: 1

摘要

提出了一种引入贝塞尔函数的混合方法。结合将二阶齐次微分方程分解成阶梯算子表示的因式分解方法和求解零阶贝塞尔方程的拉普拉斯变换方法，确定了贝塞尔方程的标准无穷级数解，以及许多涉及贝塞尔函数的著名关系。数学学科分类:33C10、34A30、33B15、34A25、34B30、44A10

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Introducing Bessel functions and their properties

A hybrid approach to the introduction of Bessel functions is proposed. Combining the factorization method for resolving second-order homogeneous differential equations into a ladder-operator representation with the Laplace transform method for solving the zero-order Bessel equation, the standard infinite series solutions to the Bessel equation are determined, as well as many well-known relations involving Bessel functions. Mathematics Subject Classification: 33C10, 34A30, 33B15, 34A25, 34B30, 44A10

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