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Journal of Mathematical Sciences

, Volume 231, Issue 4, pp 547–557 | Cite as

Generalized Bessel–Struve Operator and Its Properties

  • Yu. S. Linchuk
Article
  • 16 Downloads

We define the generalized Bessel–Struve operator in the space of functions analytic in an arbitrary domain. The conditions of equivalence of the generalized Bessel–Struve operator to the operator of second derivative are investigated. We also describe the commutant of the generalized Bessel–Struve operator and establish its hypercyclicity and chaotic nature.

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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • Yu. S. Linchuk
    • 1
  1. 1.Fed’kovych Chernivtsi National UniversityChernivtsiUkraine

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