A GENERALIZATION OF LIOUVILLE′S THEOREM ON INTEGRATION IN FINITE TERMS

Title & Authors
A GENERALIZATION OF LIOUVILLE′S THEOREM ON INTEGRATION IN FINITE TERMS
Utsanee, Leerawat; Vichian, Laohakosol;

Abstract
A generalization of Liouville`s theorem on integration in finite terms, by enlarging the class of fields to an extension called Ei-Gamma extension is established. This extension includes the $\small{\varepsilon}$L-elementary extension of Singer, Saunders and Caviness and contains the Gamma function.
Keywords
Liouville′s theorem;integration in finite terms;
Language
English
Cited by
References
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