Advanced search
Publication Cover
Integral Transforms and Special Functions Volume 16, 2005 - Issue 5-6: The 3rd International Conference on Analytic Methods of Analysis and Differential Equations (AMADE-2003), Minsk, Belarus, 4–9 September 2003
Submit an article Journal homepage
35
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Asymptotic expansions of 𝒴η transform

Elena V. Gromak Department of Mathematics and Mechanics, Belarusian State Unviersity, F R Skaryny Avenue 4, Minsk, 220050, Belarus
&
Anatoly A. Kilbas Department of Mathematics and Mechanics, Belarusian State Unviersity, F R Skaryny Avenue 4, Minsk, 220050, BelarusCorrespondence[email protected]
Pages 407-414 | Received 18 Feb 2004, Published online: 20 Aug 2006
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

Abstract

The article is devoted to the investigation of the asymptotic behavior at zero of the integral transform

containing the Bessel function of the second kind Y η(z) in the kernel. It is established that (𝒴η f)(λ) has power or power-logarithmic expansion, as λ→+0, provided that a function f(t) has power asymptotic estimate at ∞.

Log in via your institution

Access through your institution

Log in to Taylor & Francis Online

Restore content access

Restore content access for purchases made as guest
Purchase options * Save for later

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 778.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.