New results on the q-generalized Bernoulli polynomials of level m
This paper aims to show new algebraic properties from the q-generalized Bernoulli polynomials Bn[m-1](x;q)B_n^{[m - 1]}(x;q) of level m, as well as some others identities which connect this polynomial class with the q-generalized Bernoulli polynomials of level m, as well as the q-gamma function, and...
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| Language: | English |
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De Gruyter
2019-12-01
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| Series: | Demonstratio Mathematica |
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| Online Access: | https://doi.org/10.1515/dema-2019-0039 |
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doaj-7b69509f86dc42cebabecffdf1a8864e2021-07-01T05:21:52ZengDe GruyterDemonstratio Mathematica2391-46612019-12-0152151152210.1515/dema-2019-0039dema-2019-0039New results on the q-generalized Bernoulli polynomials of level mUrieles Alejandro0Ortega María José1Ramírez William2Vega Samuel3Programa de MatemáticaUniversidad del Atlántico, BarranquillaColombiaDepartamento de Ciencias Naturales y Exactas, Universidad de la Costa, BarranquillaColombiaDepartamento de Ciencias Naturales y Exactas, Universidad de la Costa, BarranquillaColombiaDepartamento de Ciencias Naturales y Exactas, Universidad de la Costa, BarranquillaColombiaThis paper aims to show new algebraic properties from the q-generalized Bernoulli polynomials Bn[m-1](x;q)B_n^{[m - 1]}(x;q) of level m, as well as some others identities which connect this polynomial class with the q-generalized Bernoulli polynomials of level m, as well as the q-gamma function, and the q-Stirling numbers of the second kind and the q-Bernstein polynomials.https://doi.org/10.1515/dema-2019-0039q-generalized bernoulli polynomialsq-gamma functionq-stirling numbersq-bernstein poly-nomials33e12 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Urieles Alejandro Ortega María José Ramírez William Vega Samuel |
| spellingShingle |
Urieles Alejandro Ortega María José Ramírez William Vega Samuel New results on the q-generalized Bernoulli polynomials of level m Demonstratio Mathematica q-generalized bernoulli polynomials q-gamma function q-stirling numbers q-bernstein poly-nomials 33e12 |
| author_facet |
Urieles Alejandro Ortega María José Ramírez William Vega Samuel |
| author_sort |
Urieles Alejandro |
| title |
New results on the q-generalized Bernoulli polynomials of level m |
| title_short |
New results on the q-generalized Bernoulli polynomials of level m |
| title_full |
New results on the q-generalized Bernoulli polynomials of level m |
| title_fullStr |
New results on the q-generalized Bernoulli polynomials of level m |
| title_full_unstemmed |
New results on the q-generalized Bernoulli polynomials of level m |
| title_sort |
new results on the q-generalized bernoulli polynomials of level m |
| publisher |
De Gruyter |
| series |
Demonstratio Mathematica |
| issn |
2391-4661 |
| publishDate |
2019-12-01 |
| description |
This paper aims to show new algebraic properties from the q-generalized Bernoulli polynomials Bn[m-1](x;q)B_n^{[m - 1]}(x;q) of level m, as well as some others identities which connect this polynomial class with the q-generalized Bernoulli polynomials of level m, as well as the q-gamma function, and the q-Stirling numbers of the second kind and the q-Bernstein polynomials. |
| topic |
q-generalized bernoulli polynomials q-gamma function q-stirling numbers q-bernstein poly-nomials 33e12 |
| url |
https://doi.org/10.1515/dema-2019-0039 |
| work_keys_str_mv |
AT urielesalejandro newresultsontheqgeneralizedbernoullipolynomialsoflevelm AT ortegamariajose newresultsontheqgeneralizedbernoullipolynomialsoflevelm AT ramirezwilliam newresultsontheqgeneralizedbernoullipolynomialsoflevelm AT vegasamuel newresultsontheqgeneralizedbernoullipolynomialsoflevelm |
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1721347290104332288 |