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Generalized Trigonometric Functions and Matrix Parameterization

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Abstract

The generalized trigonometric functions (GTF) have been introduced using an appropriate redefinition of Euler type identities involving non-standard forms of imaginary numbers, realized by different types of matrices. In this paper we use the GTF to get parameterization of practical interest for non-singular matrices. The possibility of using this procedure to deal with applications in electron transport is also touched on.

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Acknowledgements

The authors express their sincere appreciation to Prof. Robert Yamaleev for interesting and enlightening discussion on the generalized trigonometric functions, the relevant algebraic foundations and applications.

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Authors and Affiliations

  1. ENEA—Frascati Research Center, Via Enrico Fermi 45, 00044, Frascati, Rome, Italy

    G. Dattoli, S. Licciardi & E. Sabia

  2. Department of Mathematics and Computer Science, University of Catania, Viale A. Doria 6, 95125, Catania, Italy

    S. Licciardi

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  1. G. Dattoli
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  2. S. Licciardi
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  3. E. Sabia
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Correspondence to S. Licciardi.

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Dattoli, G., Licciardi, S. & Sabia, E. Generalized Trigonometric Functions and Matrix Parameterization. Int. J. Appl. Comput. Math 3 (Suppl 1), 115–128 (2017). https://doi.org/10.1007/s40819-017-0427-0

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  • DOI: https://doi.org/10.1007/s40819-017-0427-0

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