Mathematics / Matematik

Permanent URI for this collectionhttps://hdl.handle.net/11147/8

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Author: search.filters.author.Pashaev, OktaySubject: search.filters.subject.Traveling wave solutions

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  • Conference Object
    Citation - Scopus: 1
    From Q-Analytic Functions To Double Q-Analytic Hermite Binomials and Q-Traveling Waves
    (IOP Publishing Ltd., 2016) Nalcı Tümer, Şengül; Pashaev, Oktay
    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.