A Study of the Second-Kind Multivariate Pseudo-Chebyshev Functions of Fractional Degree

Paolo Emilio Ricci, Rekha Srivastava

Type: Article

Publication Date: 2020-06-16

Citations: 2

DOI: https://doi.org/10.3390/math8060978

Abstract

Here, in this paper, the second-kind multivariate pseudo-Chebyshev functions of fractional degree are introduced by using the Dunford–Taylor integral. As an application, the problem of finding matrix roots for a wide class of non-singular complex matrices has been considered. The principal value of the fixed matrix root is determined. In general, by changing the determinations of the numerical roots involved, we could find n r roots for the n-th root of an r × r matrix. The exceptional cases for which there are infinitely many roots, or no roots at all, are obviously excluded.

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Works Cited by This (19)

Action	Title	Year	Authors
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato
+	Chebyshev polynomials in several variables.	1972	Rudolf Lidl Ch. Wells
+	Some extended Pochhammer symbols and their applications involving generalized hypergeometric polynomials	2014	Rekha Srivastava Nak Eun Cho
+	Solution of the Difference Equations of Generalized Lucas Polynomials	1972	I. V. V. Raghavacharyulu A. R. Tekumalla
+	Generating functions for a certain class of incomplete hypergeometric polynomials	2012	Rekha Srivastava Nak Eun Cho
+	A certain generalized Pochhammer symbol and its applications to hypergeometric functions	2013	H. M. Srivastava Ayşegül Çetinkaya İ. Onur Kıymaz
+	Some properties of a family of incomplete hypergeometric functions	2013	Rekha Srivastava
+	An Explicit Formula for $f(\mathcal{A})$ and the Generating Functions of the Generalized Lucas Polynomials	1982	Massimo Bruschi Paolo Emilio Ricci
+	Some classes of generating functions associated with a certain family of extended and generalized hypergeometric functions	2014	Rekha Srivastava
+ PDF Chat	Chebyshev polynomials in several variables and the radial part of the Laplace-Beltrami operator	1991	R. J. Beerends