A Class of Laguerre-Based Generalized Humbert Polynomials
Several mathematicians have extensively investigated polynomials, their extensions, and their applications in various other research areas for a decade. Our paper aims to introduce another such polynomial, namely, Laguerre-based generalized Humbert polynomial, and investigate its properties. In part...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2021/4324466 |
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| _version_ | 1832556494214660096 |
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| author | Saniya Batra Prakriti Rai |
| author_facet | Saniya Batra Prakriti Rai |
| author_sort | Saniya Batra |
| collection | DOAJ |
| description | Several mathematicians have extensively investigated polynomials, their extensions, and their applications in various other research areas for a decade. Our paper aims to introduce another such polynomial, namely, Laguerre-based generalized Humbert polynomial, and investigate its properties. In particular, it derives elementary identities, recursive differential relations, additional symmetry identities, and implicit summation formulas. |
| format | Article |
| id | doaj-art-b4dd1ec37cd241c894b1b75c5b648a5e |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-b4dd1ec37cd241c894b1b75c5b648a5e2025-02-03T05:45:22ZengWileyInternational Journal of Differential Equations1687-96431687-96512021-01-01202110.1155/2021/43244664324466A Class of Laguerre-Based Generalized Humbert PolynomialsSaniya Batra0Prakriti Rai1Department of Mathematics, Amity University, Noida 201313, Utter Pradesh, IndiaDepartment of Mathematics, Amity University, Noida 201313, Utter Pradesh, IndiaSeveral mathematicians have extensively investigated polynomials, their extensions, and their applications in various other research areas for a decade. Our paper aims to introduce another such polynomial, namely, Laguerre-based generalized Humbert polynomial, and investigate its properties. In particular, it derives elementary identities, recursive differential relations, additional symmetry identities, and implicit summation formulas.http://dx.doi.org/10.1155/2021/4324466 |
| spellingShingle | Saniya Batra Prakriti Rai A Class of Laguerre-Based Generalized Humbert Polynomials International Journal of Differential Equations |
| title | A Class of Laguerre-Based Generalized Humbert Polynomials |
| title_full | A Class of Laguerre-Based Generalized Humbert Polynomials |
| title_fullStr | A Class of Laguerre-Based Generalized Humbert Polynomials |
| title_full_unstemmed | A Class of Laguerre-Based Generalized Humbert Polynomials |
| title_short | A Class of Laguerre-Based Generalized Humbert Polynomials |
| title_sort | class of laguerre based generalized humbert polynomials |
| url | http://dx.doi.org/10.1155/2021/4324466 |
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