A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
On hypergeometric functions and generalizations of Legendre's relation
Tekijät: Karatsuba E., Vuorinen M.
Julkaisuvuosi: 2001
Journal: Journal of Mathematical Analysis and Applications
Tietokannassa oleva lehden nimi: Journal of Mathematical Analysis and Applications
Vuosikerta: 260
Numero: 2
Aloitussivu: 623
Lopetussivu: 640
Sivujen määrä: 18
ISSN: 0022-247X
DOI: https://doi.org/10.1006/jmaa.2001.7499
Verkko-osoite: http://api.elsevier.com/content/abstract/scopus_id:0035882848
Tiivistelmä
We prove some convexity properties for a sum of hypergeometric functions and obtain a generalization of Legendre's relation for complete elliptic integrals. We apply these results to prove some inequalities for hypergeometric functions, incomplete beta-functions, and Legendre functions. © 2001 Academic Press.
We prove some convexity properties for a sum of hypergeometric functions and obtain a generalization of Legendre's relation for complete elliptic integrals. We apply these results to prove some inequalities for hypergeometric functions, incomplete beta-functions, and Legendre functions. © 2001 Academic Press.
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