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Some identities for degenerate complete and incomplete r-Bell polynomials

Jongkyum Kwon, Taekyun Kim, Dae San Kim, Han Young Kim

2020Journal of Inequalities and Applications14 citationsDOIOpen Access PDF

Abstract

Abstract In this paper, we study degenerate complete and incomplete r -Bell polynomials. They are generalizations of the recently introduced degenerate r -Bell polynomials and degenerate analogues for the complete and incomplete r -Bell polynomials. We investigate some properties and identities for these polynomials. In particular, we give explicit formulas for the degenerate complete and incomplete r -Bell polynomials.

Topics & Concepts

Degenerate energy levelsBell polynomialsMathematicsDifference polynomialsPure mathematicsClassical orthogonal polynomialsOrthogonal polynomialsWilson polynomialsDiscrete orthogonal polynomialsCombinatoricsAlgebra over a fieldDiscrete mathematicsQuantum mechanicsPhysicsAdvanced Mathematical IdentitiesAdvanced Combinatorial MathematicsMathematical functions and polynomials
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