Probabilistic degenerate central Bell polynomials
Li Chen, Taekyun Kim, Dae San Kim, Hyunseok Lee, Si-Hyeon Lee
Abstract
Assume that $Y$Y is a random variable whose moment generating function exists in a neighbourhood of the origin. In this paper, we study the probabilistic degenerate central Bell polynomials associated with $Y$Y, as probabilistic extension of the degenerate central Bell polynomials. In addition, we investigate the probabilistic degenerate central factorial numbers of the second kind associated with $Y$Y and the probabilistic degenerate central Fubini polynomials associated with $Y$Y. The aim of this paper is to derive some properties, explicit expressions, certain identities and recurrence relations for those polynomials and numbers.
Topics & Concepts
Degenerate energy levelsMathematicsProbabilistic logicFubini's theoremBell polynomialsNeighbourhood (mathematics)Moment (physics)Pure mathematicsDiscrete mathematicsCombinatoricsMathematical analysisQuantum mechanicsStatisticsPhysicsAdvanced Mathematical IdentitiesAdvanced Combinatorial MathematicsRandom Matrices and Applications