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Abstract
In this paper, we study degenerate complete and partial Bell polynomials and establish some new identities for those polynomials. In addition, we investigate the connections between modified degenerate complete and partial Bell polynomials, which are closely related to the degenerate complete and partial Bell polynomials, and the joint distribution of weighted sums of independent degenerate Poisson random variables.
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Details
1 Kwangwoon University, Department of Mathematics, Seoul, Republic of Korea (GRID:grid.411202.4) (ISNI:0000 0004 0533 0009)
2 Sogang University, Department of Mathematics, Seoul, Republic of Korea (GRID:grid.263736.5) (ISNI:0000 0001 0286 5954)
3 Gyeongsang National University, Department of Mathematics Education, Jinju, Republic of Korea (GRID:grid.256681.e) (ISNI:0000 0001 0661 1492)