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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Zeros of a cross-product of the Coulomb wave and Tricomi hypergeometric functions
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by Árpád Baricz PDF
Proc. Amer. Math. Soc. 145 (2017), 1643-1648 Request permission

Abstract:

Motivated by a problem on conditions for the existence of clines in genetics, we show that the positive zeros of a cross-product of the regular Coulomb wave function and the Tricomi hypergeometric function are increasing with respect to one of the parameters. In particular, this implies that the eigenvalues of a certain boundary value problem are increasing with the dimension.
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Additional Information
  • Árpád Baricz
  • Affiliation: Institute of Applied Mathematics, Óbuda University, Budapest, Hungary – and – Department of Economics, Babeş-Bolyai University, Cluj-Napoca, Romania
  • MR Author ID: 729952
  • Email: bariczocsi@yahoo.com
  • Received by editor(s): March 24, 2016
  • Received by editor(s) in revised form: June 9, 2016
  • Published electronically: October 18, 2016
  • Additional Notes: The research of the author was supported by the János Bolyai Research Scholarship of the Hungarian Academy of Sciences

  • Dedicated: Dedicated to Professor Péter T. Nagy on the occasion of his 70th birthday
  • Communicated by: Mourad Ismail
  • © Copyright 2016 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 145 (2017), 1643-1648
  • MSC (2010): Primary 34B09, 34B30, 33C15, 33C10
  • DOI: https://doi.org/10.1090/proc/13331
  • MathSciNet review: 3601555