On λ-Bell polynomials associated with umbral calculus
- 1 January 2017
- journal article
- research article
- Published by Pleiades Publishing Ltd in Russian Journal of Mathematical Physics
- Vol. 24 (1) , 69-78
- https://doi.org/10.1134/s1061920817010058
Abstract
In this paper, we introduce some new λ-Bell polynomials and Bell polynomials of the second kind and investigate properties of these polynomials. Using our investigation, we derive some new identities for the two kinds of λ-Bell polynomials arising from umbral calculus.This publication has 8 references indexed in Scilit:
- On degenerate Bell numbers and polynomialsRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2016
- Some identities of degenerate special polynomialsOpen Mathematics, 2015
- Barnes’ type multiple degenerate Bernoulli and Euler polynomialsApplied Mathematics and Computation, 2015
- Some identities of Bell polynomialsScience China Mathematics, 2015
- Identities involving Laguerre polynomials derived from umbral calculusRussian Journal of Mathematical Physics, 2014
- Identities on Bell polynomials and Sheffer sequencesDiscrete Mathematics, 2009
- Advanced CombinatoricsPublished by Springer Nature ,1974
- Exponential PolynomialsAnnals of Mathematics, 1934