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doi: 10.1007/bf02836885
The authors extend to the matrix setting the well-known properties of the Hermite polynomials, such as density, asymptotics, the development of the exponential in terms of these polynomials and the connection with differential equations.
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Matrices over function rings in one or more variables, matrix differential equation, Nonlinear ordinary differential equations and systems, Hermite matrix polynomials, total set, matrix exponential
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Matrices over function rings in one or more variables, matrix differential equation, Nonlinear ordinary differential equations and systems, Hermite matrix polynomials, total set, matrix exponential
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 24 | |
popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |