On q-difference equations and Zn decompositions of expq function



Document title: On q-difference equations and Zn decompositions of expq function
Journal: Advances in applied Clifford algebras
Database: PERIÓDICA
System number: 000188551
ISSN: 0188-7009
Authors: 1
2
Institutions: 1Bialystok University, Institute of Computer Science, Bialystok. Polonia
2Bialystok University, Institute of Mathematics, Bialystok. Polonia
Year:
Season: Jun
Volumen: 11
Number: 1
Pages: 39-61
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico
English abstract The q-extended hyperbolic functions of n-th order {hq,s (z)}sez, which are Zn-components of expq function forro the set fundamental solutions of a simple q-difference equation. Against the background of q-deformed hyperbolic functions of n-th order other natural extensions and related topics are considered. Apart from easy general solution of homogeneous ordinary q-difference equations of n-th order main trigonometric-like identity known for hyperbolic functions of n-th order is given its q-commutative counterpart. Hint how to arrive at other identities is implicit in the q-treatment proposed. The paper constitutes an example of the application of the method of projections presented in Advances in Applied Clifford Algebras publication [19] ; see also references to Ben Cheikh's papers
Disciplines: Matemáticas
Keyword: Matemáticas aplicadas,
Algebra,
Funciones especiales,
Funciones hiperbólicas
Keyword: Mathematics,
Applied mathematics,
Algebra,
Special functions,
Difference equations,
Hyperbolic functions
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