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On Algebraic Properties of Integrals of Products of Some Hypergeometric Functions.
- Source :
-
Mathematical Notes . Feb2024, Vol. 115 Issue 1/2, p173-181. 9p. - Publication Year :
- 2024
-
Abstract
- Indefinite integrals of products of generalized hypergeometric functions satisfying first- order differential equations are considered. Necessary and sufficient conditions for the algebraic independence of the set of these integrals and of their values at algebraic points are studied. All algebraic identities arising in this case are found in closed form. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DIFFERENTIAL equations
*INTEGRALS
*GENERALIZED integrals
*HYPERGEOMETRIC functions
Subjects
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 115
- Issue :
- 1/2
- Database :
- Academic Search Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 176757893
- Full Text :
- https://doi.org/10.1134/S0001434624010164