MMN-1458

Identities related to the Stirling numbers and modified Apostol-type numbers on Umbral Calculus

Takao Komatsu; Yilmaz Simsek;

Abstract

By using umbral calculus and umbral algebra methods, we derive several interesting identities and relations related to the modified and unification of the Bernoulli, Euler and Genocchi polynomials and numbers and the generalized ($\beta $-) Stirling numbers of the second kind. Finally, we give some applications and remarks related to these numbers and polynomials.


Vol. 18 (2017), No. 2, pp. 905-916
DOI: https://doi.org/10.18514/MMN.2017.1458


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