Degenerate r-Stirling Numbers and r-Bell Polynomials |
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| Authors: | T. Kim Y. Yao D. S. Kim G. -W. Jang |
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| Affiliation: | 1.Department of Mathematics, College of Science,Tianjin Polytechnic University,Tianjin City,China;2.Department of Mathematics,Kwangwoon University,Seoul,Republic of Korea;3.Institute of Fundamental Sciences,University of Electronic Science and Technology,Chengdu,China;4.Department of Mathematics,Sogang University,Seoul,Republic of Korea |
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| Abstract: | The purpose of this paper is to exploit umbral calculus in order to derive some properties, recurrence relations, and identities related to the degenerate r-Stirling numbers of the second kind and the degenerate r-Bell polynomials. Especially, we will express the degenerate r-Bell polynomials as linear combinations of many well-known families of special polynomials. |
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