Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




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

Symmetry, Integrability and Geometry: Methods and Applications, 2018, Volume 14, 042, 26 pp.
DOI: https://doi.org/10.3842/SIGMA.2018.042 (Mi sigma1341) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Higher Derivatives of Airy Functions and of their Products

Eugeny G. Abramochkin, Evgeniya V. Razueva

Coherent Optics Lab, Lebedev Physical Institute, Samara, 443011, Russia
Full-text PDF (505 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2018.042
Abstract: The problem of evaluation of higher derivatives of Airy functions in a closed form is investigated. General expressions for the polynomials which have arisen in explicit formulae for these derivatives are given in terms of particular values of Gegenbauer polynomials. Similar problem for products of Airy functions is solved in terms of terminating hypergeometric series.
Keywords: Airy functions; Gegenbauer polynomials; hypergeometric function.
Received: October 13, 2017; in final form April 26, 2018; Published online May 5, 2018
Bibliographic databases:
Document Type: Article
MSC: 33C10; 33C05; 33C20
Language: English
Citation: Eugeny G. Abramochkin, Evgeniya V. Razueva, “Higher Derivatives of Airy Functions and of their Products”, SIGMA, 14 (2018), 042, 26 pp.
Citation in format AMSBIB
\Bibitem{AbrRaz18}
\by Eugeny~G.~Abramochkin, Evgeniya~V.~Razueva
\paper Higher Derivatives of Airy Functions and of their Products
\jour SIGMA
\yr 2018
\vol 14
\papernumber 042
\totalpages 26
\mathnet{http://mi.mathnet.ru/sigma1341}
\crossref{https://doi.org/10.3842/SIGMA.2018.042}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000431682000001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85046552491}
Linking options:
  • https://www.mathnet.ru/eng/sigma1341
  • https://www.mathnet.ru/eng/sigma/v14/p42
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:147
    Full-text PDF :36
    References:14
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024