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| dc.contributor.author | Nangho, Maurice Kenfack
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| dc.contributor.author | Foupouagnigni, M.
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| dc.contributor.author | Koepf, W.
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| dc.date.accessioned | 2019-07-15T12:01:23Z | |
| dc.date.issued | 2019-05 | |
| dc.description.abstract | We develop analogs of exponential and trigonometric functions (including the basic exponential function) and derive their fundamental properties: addition formula, positivity, reciprocal and fundamental relations of trigonometry. We also establish a binomial theorem, characterize symmetric orthogonal polynomials and provide a formula for computing the nth-derivatives for analytic functions on nonuniform lattices (q-quadratic and quadratic variables). | en_ZA |
| dc.description.department | Mathematics and Applied Mathematics | en_ZA |
| dc.description.embargo | 2020-05-01 | |
| dc.description.librarian | hj2019 | en_ZA |
| dc.description.sponsorship | This work was partially supported by the Alexander von Humboldt Foundation. | en_ZA |
| dc.description.uri | https://link.springer.com/journal/11139 | en_ZA |
| dc.identifier.citation | Kenfack Nangho, M., Foupouagnigni, M. & Koepf, W. On exponential and trigonometric functions on nonuniform lattices. Ramanujan Journal (2019) 49: 1-37. https://doi.org/10.1007/s11139-018-0107-7. | en_ZA |
| dc.identifier.issn | 1382-4090 (print) | |
| dc.identifier.issn | 1572-9303 (online) | |
| dc.identifier.other | 10.1007/s11139-018-0107-7 | |
| dc.identifier.uri | http://hdl.handle.net/2263/70712 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | Springer | en_ZA |
| dc.rights | © Springer Science+Business Media, LLC, part of Springer Nature 2019. The original publication is available at : http://link.springer.com/journal/11139. | en_ZA |
| dc.subject | Symmetric functions and nonuniform lattices | en_ZA |
| dc.subject | Basic exponential function | en_ZA |
| dc.subject | Askey–Wilson polynomials | en_ZA |
| dc.title | On exponential and trigonometric functions on nonuniform lattices | en_ZA |
| dc.type | Postprint Article | en_ZA |
