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.

Dattoli G., Licciardi S., Sabia E. (2017). Generalized Trigonometric Functions and Matrix Parameterization. INTERNATIONAL JOURNAL OF APPLIED AND COMPUTATIONAL MATHEMATICS, 3(S1), 115-128 [10.1007/s40819-017-0427-0].

Generalized Trigonometric Functions and Matrix Parameterization

Licciardi S.
;
2017-01-01

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.
2017
Settore MAT/08 - Analisi Numerica
Settore MAT/03 - Geometria
Settore MAT/02 - Algebra
Settore FIS/02 - Fisica Teorica, Modelli E Metodi Matematici
Dattoli G., Licciardi S., Sabia E. (2017). Generalized Trigonometric Functions and Matrix Parameterization. INTERNATIONAL JOURNAL OF APPLIED AND COMPUTATIONAL MATHEMATICS, 3(S1), 115-128 [10.1007/s40819-017-0427-0].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/614715
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