p-Trigonometric and p-Hyperbolic Functions in Complex Domain

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F16%3A43928710" target="_blank" >RIV/49777513:23520/16:43928710 - isvavai.cz</a>
Result on the web
<a href="http://www.hindawi.com/journals/aaa/2016/3249439/" target="_blank" >http://www.hindawi.com/journals/aaa/2016/3249439/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1155/2016/3249439" target="_blank" >10.1155/2016/3249439</a>

Result language
angličtina
Original language name
p-Trigonometric and p-Hyperbolic Functions in Complex Domain
Original language description
We study extension of p-trigonometric functions sin_p and cos_p and of p-hyperbolic functions sinh_p and cosh_p to complex domain. Our aim is to answer the question under what conditions on p>1 these functions satisfy well-known relations for usual trigonometric and hyperbolic functions. In particular, we prove that for p=6,10,14, ... the p-trigonometric and p-hyperbolic functions satisfy very analogous relations as their classical counterparts. Our methods are based on the theory of differential equations in the complex domain using the Maclaurin series for p-trigonometric and p-hyperbolic functions.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GA13-00863S" target="_blank" >GA13-00863S: Semilinear and Quasilinear Differential Equations: Existence and Multiplicity Results</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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