Finite sums and generalized forms of Bernoulli polynomials
We introduce new classes of Bernoulli polynomials, useful to evaluate partial sums of Hermite and Laguerre polynomials. We also comment on the possibility of extending the class of Bernoulli numbers itself, and indicate their importance in the derivation of partial sums involving generalized forms o...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Sapienza Università Editrice
1999-01-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
| Subjects: | |
| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1999(3)/385-391.pdf |
| _version_ | 1811247864345526272 |
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| author | G. Dattoli S. Lorenzutta C. Cesarano |
| author_facet | G. Dattoli S. Lorenzutta C. Cesarano |
| author_sort | G. Dattoli |
| collection | DOAJ |
| description | We introduce new classes of Bernoulli polynomials, useful to evaluate partial sums of Hermite and Laguerre polynomials. We also comment on the possibility of extending the class of Bernoulli numbers itself, and indicate their importance in the derivation of partial sums involving generalized forms of Hermite and Laguerre polynomials. |
| first_indexed | 2024-04-12T15:16:58Z |
| format | Article |
| id | doaj.art-02ab1faaebf9420b8fc2f11bf98860ce |
| institution | Directory Open Access Journal |
| issn | 1120-7183 2532-3350 |
| language | English |
| last_indexed | 2024-04-12T15:16:58Z |
| publishDate | 1999-01-01 |
| publisher | Sapienza Università Editrice |
| record_format | Article |
| series | Rendiconti di Matematica e delle Sue Applicazioni |
| spelling | doaj.art-02ab1faaebf9420b8fc2f11bf98860ce2022-12-22T03:27:35ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33501999-01-01193385391Finite sums and generalized forms of Bernoulli polynomialsG. Dattoli0S. Lorenzutta1C. Cesarano2ENEA, Centro Ricerche FrascatiENEA, Centro Ricerche BolognaENEAWe introduce new classes of Bernoulli polynomials, useful to evaluate partial sums of Hermite and Laguerre polynomials. We also comment on the possibility of extending the class of Bernoulli numbers itself, and indicate their importance in the derivation of partial sums involving generalized forms of Hermite and Laguerre polynomials.https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1999(3)/385-391.pdfmonomialitypolynomialslaguerrehermitebernoullipartial sums |
| spellingShingle | G. Dattoli S. Lorenzutta C. Cesarano Finite sums and generalized forms of Bernoulli polynomials Rendiconti di Matematica e delle Sue Applicazioni monomiality polynomials laguerre hermite bernoulli partial sums |
| title | Finite sums and generalized forms of Bernoulli polynomials |
| title_full | Finite sums and generalized forms of Bernoulli polynomials |
| title_fullStr | Finite sums and generalized forms of Bernoulli polynomials |
| title_full_unstemmed | Finite sums and generalized forms of Bernoulli polynomials |
| title_short | Finite sums and generalized forms of Bernoulli polynomials |
| title_sort | finite sums and generalized forms of bernoulli polynomials |
| topic | monomiality polynomials laguerre hermite bernoulli partial sums |
| url | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1999(3)/385-391.pdf |
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