From Conformal Group to Symmetries of Hypergeometric Type Equations
We show that properties of hypergeometric type equations become transparent if they are derived from appropriate 2nd order partial differential equations with constant coefficients. In particular, we deduce the symmetries of the hypergeometric and Gegenbauer equation from conformal symmetries of the...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2016 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2016
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/148546 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | From Conformal Group to Symmetries of Hypergeometric Type Equations / J. Dereziński, P. Majewski // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 48 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862697476947968000 |
|---|---|
| author | Dereziński, J. Majewski, P. |
| author_facet | Dereziński, J. Majewski, P. |
| citation_txt | From Conformal Group to Symmetries of Hypergeometric Type Equations / J. Dereziński, P. Majewski // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 48 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We show that properties of hypergeometric type equations become transparent if they are derived from appropriate 2nd order partial differential equations with constant coefficients. In particular, we deduce the symmetries of the hypergeometric and Gegenbauer equation from conformal symmetries of the 4- and 3-dimensional Laplace equation. We also derive the symmetries of the confluent and Hermite equation from the so-called Schrödinger symmetries of the heat equation in 2 and 1 dimension. Finally, we also describe how properties of the ₀F₁ equation follow from the Helmholtz equation in 2 dimensions.
|
| first_indexed | 2025-12-07T16:30:30Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148546 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:30:30Z |
| publishDate | 2016 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Dereziński, J. Majewski, P. 2019-02-18T15:06:11Z 2019-02-18T15:06:11Z 2016 From Conformal Group to Symmetries of Hypergeometric Type Equations / J. Dereziński, P. Majewski // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 48 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 35J05; 33Cxx; 35B06 DOI:10.3842/SIGMA.2016.108 https://nasplib.isofts.kiev.ua/handle/123456789/148546 We show that properties of hypergeometric type equations become transparent if they are derived from appropriate 2nd order partial differential equations with constant coefficients. In particular, we deduce the symmetries of the hypergeometric and Gegenbauer equation from conformal symmetries of the 4- and 3-dimensional Laplace equation. We also derive the symmetries of the confluent and Hermite equation from the so-called Schrödinger symmetries of the heat equation in 2 and 1 dimension. Finally, we also describe how properties of the ₀F₁ equation follow from the Helmholtz equation in 2 dimensions. We thank Tom Koornwinder and anonymous referees for useful remarks. J.D. gratefully acknowledges
 financial support of the National Science Center, Poland, under the grant UMO2014/15/B/ST1/00126. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications From Conformal Group to Symmetries of Hypergeometric Type Equations Article published earlier |
| spellingShingle | From Conformal Group to Symmetries of Hypergeometric Type Equations Dereziński, J. Majewski, P. |
| title | From Conformal Group to Symmetries of Hypergeometric Type Equations |
| title_full | From Conformal Group to Symmetries of Hypergeometric Type Equations |
| title_fullStr | From Conformal Group to Symmetries of Hypergeometric Type Equations |
| title_full_unstemmed | From Conformal Group to Symmetries of Hypergeometric Type Equations |
| title_short | From Conformal Group to Symmetries of Hypergeometric Type Equations |
| title_sort | from conformal group to symmetries of hypergeometric type equations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148546 |
| work_keys_str_mv | AT derezinskij fromconformalgrouptosymmetriesofhypergeometrictypeequations AT majewskip fromconformalgrouptosymmetriesofhypergeometrictypeequations |