Bessel functions

  • Nelson H. F. BeebeEmail author


A large family of functions known as Bessel functions is treated in four chapters of the Handbook of Mathematical Functions [AS64, Chapters 9–12], with more coverage than any other named functions in that famous compendium. Although those functions were first discovered by Daniel Bernoulli (1700–1782), who in 1732 worked with the order zero function that is now known as J 0 (x), it was Friedrich Wilhelm Bessel who generalized them about 1824 and brought them to mathematical prominence, and they bear his name, instead of that of Bernoulli. Leonhard Euler (1707–1783) discussed their generalizations to arbitrary integer orders, J n (x), in 1764.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of UtahSalt Lake CityUSA

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