From Q-Analytic Functions To Double Q-Analytic Hermite Binomials and Q-Traveling Waves
| dc.contributor.author | Nalcı Tümer, Şengül | |
| dc.contributor.author | Pashaev, Oktay | |
| dc.coverage.doi | 10.1088/1742-6596/766/1/012017 | |
| dc.date.accessioned | 2017-07-26T08:46:44Z | |
| dc.date.available | 2017-07-26T08:46:44Z | |
| dc.date.issued | 2016 | |
| dc.description | International Conference on Quantum Science and Applications, ICQSA 2016; Eskisehir Osmangazi University Congress and Culture CentreEskisehir; Turkey; 25 May 2016 through 27 May 2016 | en_US |
| dc.description.abstract | We extend the concept of q-analytic function in two different directions. First we find expansion of q-binomial in terms of q-Hermite polynomials, analytic in two complex arguments. Based on this representation, we introduce a new class of complex functions of two complex arguments, which we call the double q-analytic functions. As another direction, by the hyperbolic version of q-analytic functions we describe the q-analogue of traveling waves, which is not preserving the shape during evolution. The IVP for corresponding q-wave equation we solved in the q-D'Alembert form. | en_US |
| dc.identifier.citation | Nalcı Tümer, Ş., and Pashaev, O. (2016). From q-analytic functions to double q-analytic Hermite binomials and q-traveling waves. Journal of Physics: Conference Series, 766(1). doi:10.1088/1742-6596/766/1/012017 | en_US |
| dc.identifier.doi | 10.1088/1742-6596/766/1/012017 | |
| dc.identifier.doi | 10.1088/1742-6596/766/1/012017 | en_US |
| dc.identifier.issn | 1742-6588 | |
| dc.identifier.issn | 1742-6596 | |
| dc.identifier.scopus | 2-s2.0-84995874943 | |
| dc.identifier.uri | http://doi.org/10.1088/1742-6596/766/1/012017 | |
| dc.identifier.uri | https://hdl.handle.net/11147/6025 | |
| dc.language.iso | en | en_US |
| dc.publisher | IOP Publishing Ltd. | en_US |
| dc.relation.ispartof | Journal of Physics: Conference Series | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Functional analysis | en_US |
| dc.subject | Hyperbolic functions | en_US |
| dc.subject | Polynomials | en_US |
| dc.subject | Hermite | en_US |
| dc.subject | Traveling wave solutions | en_US |
| dc.title | From Q-Analytic Functions To Double Q-Analytic Hermite Binomials and Q-Traveling Waves | en_US |
| dc.type | Conference Object | en_US |
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| gdc.author.institutional | Nalcı Tümer, Şengül | |
| gdc.author.institutional | Pashaev, Oktay | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.volume | 766 | en_US |
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| gdc.oaire.keywords | Hermite | |
| gdc.oaire.keywords | Polynomials | |
| gdc.oaire.keywords | Hyperbolic functions | |
| gdc.oaire.keywords | Traveling wave solutions | |
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