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:
Видавець: | Інститут математики НАН України |
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Дата: | 2016 |
Автори: | , |
Формат: | Стаття |
Мова: | English |
Опубліковано: |
Інститут математики НАН України
2016
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Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148546 |
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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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of UkraineРезюме: | 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. |
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