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Description: |
We study a sequence of matrix polynomials (Pn)n of size nxn, which are orthogonal with respect to the weight matrix involving the classical Laguerre scalar weight. This family of orthogonal matrix polynomials satisfy a second order differential equation with coefficients (independent of n) that are matrix polynomials F2, F1, and F0 of degree not larger than 2, 1 and 0, respectively.
To proceed in depth, we deal with the particular size 2x2. The Rodrigues' formula is obtained to provide an explicit expression as well as the three term recurrence relation for the referred family of polynomials. These recurrence coefficients do not behave asymptotically as multiples of the identity.
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Date: |
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| Start Time: |
14:30 |
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Speaker: |
Nikta Shayanfar (K. N. Toosi Univ. of Technology, Tehran, Iran)
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Institution: |
K.N. Toosi University of Technology, Tehran, Iran
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Place: |
Sala 5.5
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| Research Groups: |
-Analysis
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See more:
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