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

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dc.contributor.authorRicci, Paolo Emilio
dc.contributor.authorSrivastava, Rekha
dc.date.accessioned2020-07-16T21:54:17Z
dc.date.available2020-07-16T21:54:17Z
dc.date.copyright2020en_US
dc.date.issued2020
dc.description.abstractHere, 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 nr 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.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipThis research received no external funding.en_US
dc.identifier.citationRicci, P. E. & Srivastava, R. (2020). A study of the second-kind multivariate pseudo-Chebyshev functions of fractional degree. Mathematics, 8(6). https://doi.org/10.3390/math8060978en_US
dc.identifier.urihttps://doi.org/10.3390/math8060978
dc.identifier.urihttp://hdl.handle.net/1828/11937
dc.language.isoenen_US
dc.publisherMathematicsen_US
dc.subjecthypergeometric functions
dc.subjectclassical orthogonal polynomials
dc.subjectsecond-kind pseudo-Chebyshev functions
dc.subjectrecurrence relations
dc.subjectDunford-Taylor integral
dc.subjectmatrix powers
dc.subjectmatrix roots
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleA Study of the Second-Kind Multivariate Pseudo-Chebyshev Functions of Fractional Degreeen_US
dc.typeArticleen_US

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