The basic Konhauser matrix polynomials. (English) Zbl 1467.15004
Summary: The family of \(q\)-Konhauser matrix polynomials have been extended to Konhauser matrix polynomials. The purpose of the present work is to show that an extension of the explicit forms, generating matrix functions, matrix recurrence relations and Rodrigues-type formula for these matrix polynomials are given, our desired results have been established and their applications are presented.
MSC:
| 15A16 | Matrix exponential and similar functions of matrices |
| 15A15 | Determinants, permanents, traces, other special matrix functions |
| 15A60 | Norms of matrices, numerical range, applications of functional analysis to matrix theory |
| 33D05 | \(q\)-gamma functions, \(q\)-beta functions and integrals |
| 33D15 | Basic hypergeometric functions in one variable, \({}_r\phi_s\) |
| 39A13 | Difference equations, scaling (\(q\)-differences) |
Keywords:
matrix functional calculus; \(q\)-shifted matrix function; \(q\)-Konhauser matrix polynomialsReferences:
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