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On second order q-difference equations for high-order Sobolev-type q-Hermite orthogonal polynomials

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 نشر من قبل Carlos Hermoso
 تاريخ النشر 2021
  مجال البحث
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The q-Hermite I-Sobolev type polynomials of higher order are consider for their study. Their hypergeometric representation is provided together with further useful properties such as several structure relations which give rise to a three-term recurrence relation of their elements. Two different q-difference equations satisfied by the q-Hermite I-Sobolev type polynomials of higher order are also established.

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