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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7757| Title: | Derivations and Special Functions Over Fields |
| Authors: | KAUR, YASHPREET Singh, Sandeep Sarigöl, Mehmet Ali Munjal, Alka Dept. of Mathematics |
| Keywords: | Derivations Differential fields Liouvillian extensions Elementary extensions Special functions 2022 |
| Issue Date: | Sep-2022 |
| Publisher: | Springer Nature |
| Citation: | Algebra, Analysis, and Associated Topics, 55–69. |
| Abstract: | Derivations play an integral role in the calculus and analysis; however, they have an algebraic exposition too. This algebraic notion has now become a part of algebra. In this chapter, some recent developments of differential algebra are noted. The main object of study is the Liouville’s theorem on integration in finite terms that deals with the antiderivatives of functions. |
| URI: | https://doi.org/10.1007/978-3-031-19082-7_5 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7757 |
| ISBN: | 9783031190810 9783031190841 |
| Appears in Collections: | BOOK CHAPTERS |
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