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Mathematics > Classical Analysis and ODEs

Title: Translation operator with exceptional Laguerre polynomials

Abstract: We extend the notion of general translation operator to exceptional Laguerre polynomials. To this we investigate the associated singular hyperbolic Cauchy problem. We derive a maximum principle with respect to this Cauchy problem and applying it we determine the norm of the translation operator. As an application we give Nikol'skii inequalities with respect to exceptional Laguerre polynomials.
Subjects: Classical Analysis and ODEs (math.CA)
Cite as: arXiv:1803.05516 [math.CA]
  (or arXiv:1803.05516v1 [math.CA] for this version)

Submission history

From: Agota Horvath P. [view email]
[v1] Wed, 14 Mar 2018 21:21:35 GMT (15kb)