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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Turán type inequalities for hypergeometric functions
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by Árpád Baricz
Proc. Amer. Math. Soc. 136 (2008), 3223-3229
DOI: https://doi.org/10.1090/S0002-9939-08-09353-2
Published electronically: April 29, 2008

Abstract:

In this note our aim is to establish a Turán type inequality for Gaussian hypergeometric functions. This result completes the earlier result that G. Gasper proved for Jacobi polynomials. Moreover, at the end of this note we present some open problems.
References
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Bibliographic Information
  • Árpád Baricz
  • Affiliation: Faculty of Economics, Babeş-Bolyai University, RO-400591 Cluj-Napoca, Romania
  • MR Author ID: 729952
  • Email: bariczocsi@yahoo.com
  • Received by editor(s): July 23, 2007
  • Published electronically: April 29, 2008

  • Dedicated: Dedicated to the memory of Professor Alexandru Lupaş
  • Communicated by: Carmen C. Chicone
  • © Copyright 2008 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 3223-3229
  • MSC (2000): Primary 33C05; Secondary 26D07
  • DOI: https://doi.org/10.1090/S0002-9939-08-09353-2
  • MathSciNet review: 2407087