A class of orthogonal polynomials of a new type
The purpose of this paper is to study a class of polynomials Fnm(x,λ,ν) associated with a class of m differential equations, where λ is fixed, n is a variable parameter, m is fixed positive integer and ν is a non-negative integer <m. We also obtain all the important properties of this class of po...
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| Format: | Article |
| Language: | English |
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Wiley
1983-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171283000150 |
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| _version_ | 1849690193158733824 |
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| author | M. Dutta Kanchan Prabha Manocha |
| author_facet | M. Dutta Kanchan Prabha Manocha |
| author_sort | M. Dutta |
| collection | DOAJ |
| description | The purpose of this paper is to study a class of polynomials Fnm(x,λ,ν) associated with a class of m differential equations, where λ is fixed, n is a variable parameter, m is fixed positive integer and ν is a non-negative integer <m. We also obtain all the important properties of this class of polynomials including Rodrigues' formulas, generating function, and recurrence relations. Several special cases of
interest are obtained from our analysis. |
| format | Article |
| id | doaj-art-ec173b5495474eee9d5aa6a8b2ffab96 |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1983-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ec173b5495474eee9d5aa6a8b2ffab962025-08-20T03:21:23ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251983-01-016117118010.1155/S0161171283000150A class of orthogonal polynomials of a new typeM. Dutta0Kanchan Prabha Manocha1S.N. Bose Institute of Physical Sciences, University of Calcutta, 92, Acharya Prafulla Chandra Road, Calcutta 700009, IndiaS.N. Bose Institute of Physical Sciences, University of Calcutta, 92, Acharya Prafulla Chandra Road, Calcutta 700009, IndiaThe purpose of this paper is to study a class of polynomials Fnm(x,λ,ν) associated with a class of m differential equations, where λ is fixed, n is a variable parameter, m is fixed positive integer and ν is a non-negative integer <m. We also obtain all the important properties of this class of polynomials including Rodrigues' formulas, generating function, and recurrence relations. Several special cases of interest are obtained from our analysis.http://dx.doi.org/10.1155/S0161171283000150function spaceweight functiongenerating functionand recurrence relation. |
| spellingShingle | M. Dutta Kanchan Prabha Manocha A class of orthogonal polynomials of a new type International Journal of Mathematics and Mathematical Sciences function space weight function generating function and recurrence relation. |
| title | A class of orthogonal polynomials of a new type |
| title_full | A class of orthogonal polynomials of a new type |
| title_fullStr | A class of orthogonal polynomials of a new type |
| title_full_unstemmed | A class of orthogonal polynomials of a new type |
| title_short | A class of orthogonal polynomials of a new type |
| title_sort | class of orthogonal polynomials of a new type |
| topic | function space weight function generating function and recurrence relation. |
| url | http://dx.doi.org/10.1155/S0161171283000150 |
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