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Title: From q-analytic functions to double q-analytic Hermite binomials and q-traveling waves
Authors: Nalcı Tümer, Şengül
Pashaev, Oktay
Keywords: Functional analysis
Hyperbolic functions
Traveling wave solutions
Issue Date: Oct-2016
Publisher: IOP Publishing Ltd.
Source: 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
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.
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
ISSN: 1742-6588
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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