Korobov polynomials of the third kind and of the fourth kind

The first degenerate version of the Bernoulli polynomials of the second kind appeared in the paper by Korobov (Math Notes 2:77–19, 1996; Proceedings of the IV international conference modern problems of number theory and its applications, pp 40–49, 2001). In this paper, we study two degenerate versi...

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Autores principales: Kim, Taekyun, Kim, Dae San
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2015
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4628049/
https://www.ncbi.nlm.nih.gov/pubmed/26543743
http://dx.doi.org/10.1186/s40064-015-1405-9
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author Kim, Taekyun
Kim, Dae San
author_facet Kim, Taekyun
Kim, Dae San
author_sort Kim, Taekyun
collection PubMed
description The first degenerate version of the Bernoulli polynomials of the second kind appeared in the paper by Korobov (Math Notes 2:77–19, 1996; Proceedings of the IV international conference modern problems of number theory and its applications, pp 40–49, 2001). In this paper, we study two degenerate versions of the Bernoulli polynomials of the second kind which will be called Korobov polynomials of third kind and of the fourth kind. Some properties, identities, recurrence relations and connections with other polynomials are investigated by using umbral calculus.
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spelling pubmed-46280492015-11-05 Korobov polynomials of the third kind and of the fourth kind Kim, Taekyun Kim, Dae San Springerplus Research The first degenerate version of the Bernoulli polynomials of the second kind appeared in the paper by Korobov (Math Notes 2:77–19, 1996; Proceedings of the IV international conference modern problems of number theory and its applications, pp 40–49, 2001). In this paper, we study two degenerate versions of the Bernoulli polynomials of the second kind which will be called Korobov polynomials of third kind and of the fourth kind. Some properties, identities, recurrence relations and connections with other polynomials are investigated by using umbral calculus. Springer International Publishing 2015-10-14 /pmc/articles/PMC4628049/ /pubmed/26543743 http://dx.doi.org/10.1186/s40064-015-1405-9 Text en © Kim and Kim 2015 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Kim, Taekyun
Kim, Dae San
Korobov polynomials of the third kind and of the fourth kind
title Korobov polynomials of the third kind and of the fourth kind
title_full Korobov polynomials of the third kind and of the fourth kind
title_fullStr Korobov polynomials of the third kind and of the fourth kind
title_full_unstemmed Korobov polynomials of the third kind and of the fourth kind
title_short Korobov polynomials of the third kind and of the fourth kind
title_sort korobov polynomials of the third kind and of the fourth kind
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4628049/
https://www.ncbi.nlm.nih.gov/pubmed/26543743
http://dx.doi.org/10.1186/s40064-015-1405-9
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