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.
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Bibliography
Henner, V., Belozerova, T., Nepomnyashchy, A.: Partial Differential Equations – Analytical Methods and Applications. CRC Press, London/New York (2020)
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Henner, V., Nepomnyashchy, A., Belozerova, T., Khenner, M. (2023). Special Functions. In: Ordinary Differential Equations. Springer, Cham. https://doi.org/10.1007/978-3-031-25130-6_10
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DOI: https://doi.org/10.1007/978-3-031-25130-6_10
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