Special Functions

Victor Henner, Alexander Nepomnyashchy, Tatyana Belozerova and Mikhail Khenner
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Victor Henner: Perm State University, Department of Physics
Alexander Nepomnyashchy: Israel Institute of Technology, Department of Mathematics
Tatyana Belozerova: Perm State University, Department of Mathematics
Mikhail Khenner: Western Kentucky University, Department of Mathematics

Chapter Chapter 10 in Ordinary Differential Equations, 2023, pp 327-382 from Springer

Abstract: Abstract As we have seen in the previous chapters, typically, solutions of differential equations cannot be presented using elementary functions. Generally, the solution is a function determined by a certain integral or power series. However, there are some classes of functions, named special functions, which are ubiquitous in different branches of science. Those classes of functions have been studied thoroughly, and often they bear the names of scientists who discovered them.

Date: 2023
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DOI: 10.1007/978-3-031-25130-6_10

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