상세 보기
Arithmetic of Sheffer sequences arising from Riemann, Volkenborn and Kim integrals
- Kim, Dae San;
- Kim, Taekyun;
- Jang, Lee-Chae;
- Kim, Hye Kyung;
- Kwon, Jongkyum
Citations
SCOPUS
1초록
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.
키워드
Kim integral; Riemann integral; Umbral calculus; Volkenborn integral
- 제목
- Arithmetic of Sheffer sequences arising from Riemann, Volkenborn and Kim integrals
- 저자
- Kim, Dae San; Kim, Taekyun; Jang, Lee-Chae; Kim, Hye Kyung; Kwon, Jongkyum
- 발행일
- 2022-00
- 유형
- Article
- 저널명
- Montes Taurus Journal of Pure and Applied Mathematics
- 권
- 4
- 호
- 1
- 페이지
- 149 ~ 169