Higher-order Cauchy of the first kind and poly-Cauchy of the first kind mixed type polynomials

2013/08/09 by Dae San Kim, Dae san Kim, Kim, Dae san +2 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Analytic Number Theory Research #math.NT #msc:11B68 #msc:11SS80

paper · pdf · doi:10.48550/arxiv.1308.2115

14 pages

arxiv created 2013/08/09 · arxiv updated 2013/08/12

Abstract

In this paper, we study higher-order Cauchy of the first kind and poly-Cauchy of the first kind mixed type polynomials with viewpoint of umbral calculus and give some interesting identities and formulae of those polynomials which are derived from umbral calculus.

Citations

• Poly-Cauchy numbers and polynomials with umbral calculus viewpoint

Cited by

• Hermite and poly-Bernoulli mixed-type polynomials

Related

• Higher-order Cauchy of the second kind and poly-Cauchy of the second kind mixed type polynomials
• Higher-order Bernoulli and poly-Bernoulli mixed type polynomials
• Poisson-Charlier and poly-Cauchy mixed type polynomials
• Poly-Cauchy numbers and polynomials with umbral calculus viewpoint
• Poly-Cauchy numbers and polynomials of the second kind