In this paper, we consider the Barnes-type Peters polynomials. We present several explicit formulas and recurrence relations for these polynomials. Also, we establish a connection between our polynomials and several known families of polynomials. MSC: 05A40, 11B83.
Bibliographical noteFunding Information:
The authors would like to thank the referees for their valuable comments. This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MOE) (No. 2012R1A1A2003786) and was partially supported by Kwangwoon University in 2014.
© 2014, Kim et al.; licensee Springer.
- Barnes-type Peters polynomials
- umbral calculus
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics