Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Matematicheskie Zametki, 2023, Volume 114, Issue 6, paper published in the English version journal (Mi mzm14276)  
Transmutation Operators for Eigenfunctions of Certain Differentiation Operators and Their Fractional Powers

A. V. Dzarakhokhov

Gorsky State Agrarian University, Vladikavkaz, 362040, Russia
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.
Keywords: transmutation operator, eigenfunction, Riemann–Liouville fractional derivative, Bessel fractional derivative, Mittag-Leffler function, Fox–Wright function.
Funding agency
This work was supported by ongoing institutional funding.
Received: 22.03.2022
Revised: 05.05.2022
Published: 27.02.2024
English version:
Mathematical Notes, 2023, Volume 114, Issue 6, Pages 1184–1194
DOI: https://doi.org/10.1134/S0001434623110500
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. V. Dzarakhokhov, “Transmutation Operators for Eigenfunctions of Certain Differentiation Operators and Their Fractional Powers”, Math. Notes, 114:6 (2023), 1184–1194
Citation in format AMSBIB
\Bibitem{Dza23}
\by A.~V.~Dzarakhokhov
\paper Transmutation Operators for Eigenfunctions of Certain Differentiation Operators and Their Fractional Powers
\jour Math. Notes
\yr 2023
\vol 114
\issue 6
\pages 1184--1194
\mathnet{http://mi.mathnet.ru/mzm14276}
\crossref{https://doi.org/10.1134/S0001434623110500}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85187685113}
Linking options:
  • https://www.mathnet.ru/eng/mzm14276
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025