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On the Zeros of the Big q-Bessel Functions and Applications

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Department of Mathematics, College of Sciences, King Saudi University, P. O Box 2455, Riyadh 11451, Saudi Arabia
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Department of Mathematics, Faculty of Sciences of Bizerte, University of Carthage, Zarzouna 7021, Tunisia
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Department of Mathematics, Faculty of Science, King Saud University, Riyadh 11451, Saudi Arabia
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Author to whom correspondence should be addressed.
Mathematics 2020, 8(2), 237; https://doi.org/10.3390/math8020237 (registering DOI)
Received: 2 December 2019 / Revised: 29 January 2020 / Accepted: 31 January 2020 / Published: 13 February 2020
This paper deals with the study of the zeros of the big q-Bessel functions. In particular, we prove new orthogonality relations for functions which are similar to the one for the classical Bessel functions. Also we give some applications related to the sampling theory. View Full-Text
Keywords: basic hypergeometric functions; completeness of sets of functions; interpolation basic hypergeometric functions; completeness of sets of functions; interpolation
MDPI and ACS Style

Bouzeffour, F.; Ben Mansour, H.; Gareyev, M. On the Zeros of the Big q-Bessel Functions and Applications. Mathematics 2020, 8, 237.

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