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Matematicheskie Zametki, 2022, Volume 112, Issue 6, paper published in the English version journal (Mi mzm13829)  
This article is cited in 1 scientific paper (total in 1 paper)

Papers published in the English version of the journal

Complex Appell–Bessel Functions and Their Degenerate Analogs

Subuhi Khan, Mehnaz Haneef, Mumtaz Riyasat

Aligarh Muslim University, Aligarh, 202001 India
Citations (1)
Abstract: In this article, a family of complex Appell–Bessel functions is considered and an integral representation for this family is derived. As a consequence, cosine and sine analogs of these functions are obtained. Certain properties, including addition formulas and differential recurrence relations, are also established. Further, the degenerate complex Appell–Bessel functions are investigated, and certain results for degenerate cosine-Appell–Bessel and degenerate sine-Appell–Bessel functions are obtained. Jacobi–Anger expansions for complex Appell–Bessel functions and degenerate complex Appell–Bessel functions are explored as well.
Keywords: complex Appell–Bessel function, degenerate complex Appell–Bessel function, Jacobi–Anger expansion, integral representation.
Funding agency Grant number
Council of Scientific and Industrial Research (CSIR), India 09/112(0646)/2019-EMR-I
This work was done under Senior Research Fellowship (File No. 09/112(0646)/2019-EMR-I dated: 13/10/2021) awarded to the second author by Council of Scientific and Industrial Research, Human resource Development Group, New Delhi.
Received: 21.05.2022
Revised: 04.06.2022
Published: 04.12.2022
English version:
Mathematical Notes, 2022, Volume 112, Issue 6, Pages 922–931
DOI: https://doi.org/10.1134/S0001434622110268
Bibliographic databases:
Document Type: Article
Language: English
Citation: Subuhi Khan, Mehnaz Haneef, Mumtaz Riyasat, “Complex Appell–Bessel Functions and Their Degenerate Analogs”, Math. Notes, 112:6 (2022), 922–931
Citation in format AMSBIB
\Bibitem{KhaHanRiy22}
\by Subuhi Khan, Mehnaz Haneef, Mumtaz Riyasat
\paper Complex Appell--Bessel Functions and Their Degenerate Analogs
\jour Math. Notes
\yr 2022
\vol 112
\issue 6
\pages 922--931
\mathnet{http://mi.mathnet.ru/mzm13829}
\crossref{https://doi.org/10.1134/S0001434622110268}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4529618}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85145409390}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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