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A Functional Definition of Trigonometric Functions

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Functional Equations and Inequalities

Part of the book series: Mathematics and Its Applications ((MAIA,volume 518))

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Abstract

The purpose of this paper is to give a functional definition of the trigonometric functions and to deduce their properties from the properties of the Lobachevsky’s complex functional equation [1,2].

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References

  1. J. Acźel, Lectures on functional equations and their applications. Academic Press, New-York and London, 1966.

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  2. J. Acźel and J. Dhombres, Functional equations in several variables, Cambridge Univ.Press, Cambridge, New-York and Melbourne, 1989.

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  3. N. Neamţu, A qualitative study of Lobachevsky’s complex functional equation (to appear in the present volume)

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  4. N. Neamţu, About some classical functional equation, Turkish Journal of Math., 22, 119–126, 1998.

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Authors and Affiliations

  1. Department of Mathematics, ”Politehnica” University of Timişoara, Piaţa Horaţiu, Nr.1, 1900, Timişoara, Romania

    Nicolae N. Neamţu

Authors
  1. Nicolae N. Neamţu
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© 2000 Springer Science+Business Media Dordrecht

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Neamţu, N.N. (2000). A Functional Definition of Trigonometric Functions. In: Functional Equations and Inequalities. Mathematics and Its Applications, vol 518. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4341-7_16

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  • DOI: https://doi.org/10.1007/978-94-011-4341-7_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5869-8

  • Online ISBN: 978-94-011-4341-7

  • eBook Packages: Springer Book Archive

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