Transcription of Bessel Functions of the First and Second Kind
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Bessel Functions of the First and Second Kind
Bessel Functions of the First and Second Bessel 18 Kelvin s 32 Orthogonality of Bessel Functions are named for Friedrich Wilhelm Bessel ( 1784 - 1846), however, DanielBernoulli is generally credited with being the First to introduce the concept of Bessels func-tions in 1732. He used the function of zero order as a solution to the problem of an oscillatingchain suspended at one end. In 1764 Leonhard Euler employed Bessel Functions of both zeroand integral orders in an analysis of vibrations of a stretched membrane, an investigationwhich was further developed by Lord Rayleigh in 1878, where he demonstrated that Besselsfunctions are particular cases of Laplaces , while receiving named credit for these Functions , did not incorporate them into hiswork as an astronomer until 1817.
Bessel functions are named for Friedrich Wilhelm Bessel (1784 - 1846), however, Daniel Bernoulli is generally credited with being the first to introduce the concept of Bessels func-tions in 1732. He used the function of zero order as a solution to the problem of an oscillating chain suspended at one end.
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