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Arithmetic of Sheffer sequences arising from Riemann, Volkenborn and Kim integrals
- Issue Date
- Dec-2021
- Publisher
- MTJPAM Turkey
- Keywords
- Kim integral; Riemann integral; Umbral calculus; Volkenborn integral
- Citation
- Montes Taurus Journal of Pure and Applied Mathematics, v.4, no.1, pp 149 - 169
- Pages
- 21
- Indexed
- SCOPUS
- Journal Title
- Montes Taurus Journal of Pure and Applied Mathematics
- Volume
- 4
- Number
- 1
- Start Page
- 149
- End Page
- 169
- ISSN
- 2687-4814
2687-4814
- Abstract
- Let {sn (x)} be any sequence of polynomials with rational coefficients which is Sheffer for some Sheffer pair. Then we consider the Riemann integral from 0 to 1, the Volkenborn integral on Zp and the Kim integral on Zp of sn (x + y) with respect to y. They all give rise to some different Sheffer polynomials. The aim of this paper is to derive some properties of those polynomials, especially their convolution identities, and to illustrate our results with some examples. © 2022, MTJPAM Turkey. All rights reserved.
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