On exponential and trigonometric functions on nonuniform lattices

dc.contributor.authorNangho, Maurice Kenfack
dc.contributor.authorFoupouagnigni, M.
dc.contributor.authorKoepf, W.
dc.date.accessioned2019-07-15T12:01:23Z
dc.date.issued2019-05
dc.description.abstractWe 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.departmentMathematics and Applied Mathematicsen_ZA
dc.description.embargo2020-05-01
dc.description.librarianhj2019en_ZA
dc.description.sponsorshipThis work was partially supported by the Alexander von Humboldt Foundation.en_ZA
dc.description.urihttps://link.springer.com/journal/11139en_ZA
dc.identifier.citationKenfack 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.issn1382-4090 (print)
dc.identifier.issn1572-9303 (online)
dc.identifier.other10.1007/s11139-018-0107-7
dc.identifier.urihttp://hdl.handle.net/2263/70712
dc.language.isoenen_ZA
dc.publisherSpringeren_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.subjectSymmetric functions and nonuniform latticesen_ZA
dc.subjectBasic exponential functionen_ZA
dc.subjectAskey–Wilson polynomialsen_ZA
dc.titleOn exponential and trigonometric functions on nonuniform latticesen_ZA
dc.typePostprint Articleen_ZA

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