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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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A $q$-analogue of the Wronskian and a second solution of the Hahn-Exton $q$-Bessel difference equation
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by R. F. Swarttouw and H. G. Meijer PDF
Proc. Amer. Math. Soc. 120 (1994), 855-864 Request permission

Abstract:

A second solution of the $q$-difference equation of the Hahn-Exton $q$-Bessel function, corresponding to the classical ${Y_\nu }(x)$, is found. We introduce a $q$-extension of the Wronskian to determine that the two solutions form a fundamental set.
References
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 120 (1994), 855-864
  • MSC: Primary 33D15; Secondary 33D45
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1180467-1
  • MathSciNet review: 1180467