On the Zeros of the Big <i>q</i>-Bessel Functions and Applications
This paper deals with the study of the zeros of the big <i>q</i>-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.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/2/237 |
| _version_ | 1818035122985762816 |
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| author | Fethi Bouzeffour Hanene Ben Mansour Mubariz Garayev |
| author_facet | Fethi Bouzeffour Hanene Ben Mansour Mubariz Garayev |
| author_sort | Fethi Bouzeffour |
| collection | DOAJ |
| description | This paper deals with the study of the zeros of the big <i>q</i>-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. |
| first_indexed | 2024-12-10T06:50:03Z |
| format | Article |
| id | doaj.art-71d3744f674f4d37bb4a5dc1956e47b5 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-10T06:50:03Z |
| publishDate | 2020-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-71d3744f674f4d37bb4a5dc1956e47b52022-12-22T01:58:34ZengMDPI AGMathematics2227-73902020-02-018223710.3390/math8020237math8020237On the Zeros of the Big <i>q</i>-Bessel Functions and ApplicationsFethi Bouzeffour0Hanene Ben Mansour1Mubariz Garayev2Department of Mathematics, College of Sciences, King Saudi University, P. O Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, Faculty of Sciences of Bizerte, University of Carthage, Zarzouna 7021, TunisiaDepartment of Mathematics, Faculty of Science, King Saud University, Riyadh 11451, Saudi ArabiaThis paper deals with the study of the zeros of the big <i>q</i>-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.https://www.mdpi.com/2227-7390/8/2/237basic hypergeometric functionscompleteness of sets of functionsinterpolation |
| spellingShingle | Fethi Bouzeffour Hanene Ben Mansour Mubariz Garayev On the Zeros of the Big <i>q</i>-Bessel Functions and Applications Mathematics basic hypergeometric functions completeness of sets of functions interpolation |
| title | On the Zeros of the Big <i>q</i>-Bessel Functions and Applications |
| title_full | On the Zeros of the Big <i>q</i>-Bessel Functions and Applications |
| title_fullStr | On the Zeros of the Big <i>q</i>-Bessel Functions and Applications |
| title_full_unstemmed | On the Zeros of the Big <i>q</i>-Bessel Functions and Applications |
| title_short | On the Zeros of the Big <i>q</i>-Bessel Functions and Applications |
| title_sort | on the zeros of the big i q i bessel functions and applications |
| topic | basic hypergeometric functions completeness of sets of functions interpolation |
| url | https://www.mdpi.com/2227-7390/8/2/237 |
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