Expansions of distributions in terms of generalized heat polynominals and their Appell transforms
This paper is concerned with expansions of distributions in terms of the generalized heat polynomials and of their Appell transforms. Two different techniques are used to prove theorems concerning expansions of distributions. A theorem which provides an orthogonal series expansion of generalized fun...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1980-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171280000567 |
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| _version_ | 1849693050655211520 |
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| author | R. S. Pathak Lokenath Debnath |
| author_facet | R. S. Pathak Lokenath Debnath |
| author_sort | R. S. Pathak |
| collection | DOAJ |
| description | This paper is concerned with expansions of distributions in terms of the generalized heat polynomials and of their Appell transforms. Two different techniques are used to prove theorems concerning expansions of distributions. A theorem which provides an orthogonal series expansion of generalized functions is also established. It is shown that this theorem gives an inversion formula for a certain generalized integral transformation. |
| format | Article |
| id | doaj-art-90a06c29e4fd4d2f955e90de33b14670 |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1980-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-90a06c29e4fd4d2f955e90de33b146702025-08-20T03:20:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251980-01-013477378710.1155/S0161171280000567Expansions of distributions in terms of generalized heat polynominals and their Appell transformsR. S. Pathak0Lokenath Debnath1Department of Mathematics, Banaras Hindu University, Varanasi, IndiaMathematical Institute, University of Oxford, Oxford, UKThis paper is concerned with expansions of distributions in terms of the generalized heat polynomials and of their Appell transforms. Two different techniques are used to prove theorems concerning expansions of distributions. A theorem which provides an orthogonal series expansion of generalized functions is also established. It is shown that this theorem gives an inversion formula for a certain generalized integral transformation.http://dx.doi.org/10.1155/S0161171280000567expansion of distributions (or generalized functions)generalized heat polynomials and their Appell transformsorthogonal series expansion of generalized functions and generalized integral transformation. |
| spellingShingle | R. S. Pathak Lokenath Debnath Expansions of distributions in terms of generalized heat polynominals and their Appell transforms International Journal of Mathematics and Mathematical Sciences expansion of distributions (or generalized functions) generalized heat polynomials and their Appell transforms orthogonal series expansion of generalized functions and generalized integral transformation. |
| title | Expansions of distributions in terms of generalized heat polynominals and their Appell transforms |
| title_full | Expansions of distributions in terms of generalized heat polynominals and their Appell transforms |
| title_fullStr | Expansions of distributions in terms of generalized heat polynominals and their Appell transforms |
| title_full_unstemmed | Expansions of distributions in terms of generalized heat polynominals and their Appell transforms |
| title_short | Expansions of distributions in terms of generalized heat polynominals and their Appell transforms |
| title_sort | expansions of distributions in terms of generalized heat polynominals and their appell transforms |
| topic | expansion of distributions (or generalized functions) generalized heat polynomials and their Appell transforms orthogonal series expansion of generalized functions and generalized integral transformation. |
| url | http://dx.doi.org/10.1155/S0161171280000567 |
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