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

Fethi Bouzeffour, Hanene Ben Mansour and Mubariz Garayev
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Fethi Bouzeffour: Department of Mathematics, College of Sciences, King Saudi University, P. O Box 2455, Riyadh 11451, Saudi Arabia
Hanene Ben Mansour: Department of Mathematics, Faculty of Sciences of Bizerte, University of Carthage, Zarzouna 7021, Tunisia
Mubariz Garayev: Department of Mathematics, Faculty of Science, King Saud University, Riyadh 11451, Saudi Arabia

Mathematics, 2020, vol. 8, issue 2, 1-15

Abstract: 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.

Keywords: basic hypergeometric functions; completeness of sets of functions; interpolation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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