Explicit Formulas for Meixner Polynomials
Using notions of composita and composition of generating functions, we show an easy way to obtain explicit formulas for some current polynomials. Particularly, we consider the Meixner polynomials of the first and second kinds.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2015/620569 |
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| _version_ | 1832558934199631872 |
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| author | Dmitry V. Kruchinin Yuriy V. Shablya |
| author_facet | Dmitry V. Kruchinin Yuriy V. Shablya |
| author_sort | Dmitry V. Kruchinin |
| collection | DOAJ |
| description | Using notions of composita and composition of generating functions, we show an easy way to obtain explicit formulas for some current polynomials. Particularly, we consider the Meixner polynomials of the first and second kinds. |
| format | Article |
| id | doaj-art-6313296a13da41f4a80c0630b2bdcb9e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-6313296a13da41f4a80c0630b2bdcb9e2025-02-03T01:31:15ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252015-01-01201510.1155/2015/620569620569Explicit Formulas for Meixner PolynomialsDmitry V. Kruchinin0Yuriy V. Shablya1Tomsk State University of Control Systems and Radioelectronics, 40 Lenina Avenue, Tomsk 634050, RussiaTomsk State University of Control Systems and Radioelectronics, 40 Lenina Avenue, Tomsk 634050, RussiaUsing notions of composita and composition of generating functions, we show an easy way to obtain explicit formulas for some current polynomials. Particularly, we consider the Meixner polynomials of the first and second kinds.http://dx.doi.org/10.1155/2015/620569 |
| spellingShingle | Dmitry V. Kruchinin Yuriy V. Shablya Explicit Formulas for Meixner Polynomials International Journal of Mathematics and Mathematical Sciences |
| title | Explicit Formulas for Meixner Polynomials |
| title_full | Explicit Formulas for Meixner Polynomials |
| title_fullStr | Explicit Formulas for Meixner Polynomials |
| title_full_unstemmed | Explicit Formulas for Meixner Polynomials |
| title_short | Explicit Formulas for Meixner Polynomials |
| title_sort | explicit formulas for meixner polynomials |
| url | http://dx.doi.org/10.1155/2015/620569 |
| work_keys_str_mv | AT dmitryvkruchinin explicitformulasformeixnerpolynomials AT yuriyvshablya explicitformulasformeixnerpolynomials |