p -Trigonometric and p -Hyperbolic Functions in Complex Domain
Joint Authors
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-04-27
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
We study extension of p -trigonometric functions s i n p and c o s p and of p -hyperbolic functions s i n h p and c o s h p to complex domain.
Our aim is to answer the question under what conditions on p these functions satisfy well-known relations for usual trigonometric and hyperbolic functions, such as, for example, s i n ( z ) = - i · sinh i · z .
In particular, we prove in the paper 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.
American Psychological Association (APA)
Girg, Petr& Kotrla, Lukáš. 2016. p -Trigonometric and p -Hyperbolic Functions in Complex Domain. Abstract and Applied Analysis،Vol. 2016, no. 2016, pp.1-18.
https://search.emarefa.net/detail/BIM-1094738
Modern Language Association (MLA)
Girg, Petr& Kotrla, Lukáš. p -Trigonometric and p -Hyperbolic Functions in Complex Domain. Abstract and Applied Analysis No. 2016 (2016), pp.1-18.
https://search.emarefa.net/detail/BIM-1094738
American Medical Association (AMA)
Girg, Petr& Kotrla, Lukáš. p -Trigonometric and p -Hyperbolic Functions in Complex Domain. Abstract and Applied Analysis. 2016. Vol. 2016, no. 2016, pp.1-18.
https://search.emarefa.net/detail/BIM-1094738
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1094738