building some symmetric laguerre-hahn functionals of class two at most through the sum of symmetric functionals as pseudofunctions with a dirac measure at origin
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ID: 235158
2006
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Abstract
We show that if v
is a symmetric regular Laguerre-Hahn linear
form (functional), then the linear form u
defined by u=−λx−2v+δ0
is also regular and symmetric Laguerre-Hahn
linear form for every complex λ
except for a discrete set
of numbers depending on v. We explicitly give the coefficients
of the second-order recurrence relation, the structure relation of
the orthogonal sequence associated with u, and the class of the
linear form u knowing that of v. Finally, we apply the above
results to the symmetric associated form of the first order for
the classical polynomials.
| Reference Key |
sghaier2006internationalbuilding
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|---|---|
| Authors | ;M. Sghaier;J. Alaya |
| Journal | structural engineering and mechanics |
| Year | 2006 |
| DOI |
10.1155/IJMMS/2006/70835
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| URL | |
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