Transmutation Operators for Eigenfunctions of Certain Differentiation Operators and Their Fractional Powers

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  • Author(s): Dzarakhokhov, A. V.
  • Source:
    Mathematical Notes; December 2023, Vol. 114 Issue: 5-6 p1184-1194, 11p
  • Additional Information
    • Abstract:
      Abstract: Differential operators of integer and fractional order and their eigenfunctions are considered. Transmutation operators relating eigenfunctions of these differential operators are constructed, which can be used to solve Sturm–Liouville problems for equations containing the differential operators under consideration.