division problem of a regular form: the case x2u=λxv
Abstract
We present a systematic study of a regular linear functional
v to find all regular forms u which satisfy the equation
x2u=λxv, λ∈ℂ−{0}. We also give the second-order recurrence relation of
the orthogonal polynomial sequence with respect to u and study the semiclassical
character of the found families. We conclude by treating some
examples.
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160298
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Article ID:
160298
Unique Identifier:
10.1155/2011/794593
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Scimatic Chain (ID: 481)
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