A research on the some properties and distribution of zeros for Stirling polynomials

Volume 9, Issue 4, pp 1735--1747 http://dx.doi.org/10.22436/jnsa.009.04.29

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Authors

Jung Yoog Kang - Department of Mathematics, Hannam University, Daejeon 306-791, Korea. Cheon Seoung Ryoo - Department of Mathematics, Hannam University, Daejeon 306-791, Korea.

Abstract

We find some identities of the Stirling polynomials and relations between these polynomials and other numbers and polynomials such as generalized Bernoulli numbers. We also display some properties and figures that are related to the distribution of fixed points in the Stirling polynomials from the Newton dynamical system containing iterated mapping.

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Keywords

• Stirling polynomials
• generalized Bernoulli numbers and polynomials
• Euler polynomials of the second kind
• Newton dynamical system
• fixed point.

MSC

•  11B68
•  11B75
•  12D10

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