Показати простий запис статті

dc.contributor.author Torre, A.
dc.date.accessioned 2019-02-14T17:26:31Z
dc.date.available 2019-02-14T17:26:31Z
dc.date.issued 2011
dc.identifier.citation Appell Transformation and Canonical Transforms / A Torre // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 78 назв. — англ. uk_UA
dc.identifier.issn 1815-0659
dc.identifier.other 2010 Mathematics Subject Classification: 35K05; 35K10; 47D06
dc.identifier.other DOI:10.3842/SIGMA.2011.072
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/147395
dc.description.abstract The interpretation of the optical Appell transformation, as previously elaborated in relation to the free-space paraxial propagation under both a rectangular and a circular cylindrical symmetry, is reviewed. Then, the caloric Appell transformation, well known in the theory of heat equation, is shown to be amenable for a similar interpretation involving the Laplace transform rather than the Fourier transform, when dealing with the 1D heat equation. Accordingly, when considering the radial heat equation, suitably defined Hankel-type transforms come to be involved in the inherent Appell transformation. The analysis is aimed at outlining the link between the Appell transformation and the canonical transforms. uk_UA
dc.description.sponsorship This paper is a contribution to the Special Issue “Symmetry, Separation, Super-integrability and Special Functions (S⁴)”. The full collection is available at http://www.emis.de/journals/SIGMA/S4.html. The author wishes to thank an anonymous referee, who with his/her suggestions, comments and criticisms has greatly improved the paper. uk_UA
dc.language.iso en uk_UA
dc.publisher Інститут математики НАН України uk_UA
dc.relation.ispartof Symmetry, Integrability and Geometry: Methods and Applications
dc.title Appell Transformation and Canonical Transforms uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA

Файли у цій статті

Ця стаття з'являється у наступних колекціях

Показати простий запис статті


Розширений пошук


Мій обліковий запис