A note on degenerate r-Stirling numbers
Taekyun Kim, Dae San Kim, Hyunseok Lee, Jin-Woo Park
Abstract
Abstract The aim of this paper is to study the unsigned degenerate r -Stirling numbers of the first kind as degenerate versions of the r -Stirling numbers of the first kind and the degenerate r -Stirling numbers of the second kind as those of the r -Stirling numbers of the second kind. For the degenerate r -Stirling numbers of both kinds, we derive recurrence relations, generating functions, explicit expressions, and some identities involving them.
Topics & Concepts
Stirling numbers of the first kindDegenerate energy levelsStirling engineStirling numbers of the second kindStirling numberMathematicsBell polynomialsPure mathematicsCombinatoricsQuantum mechanicsPhysicsThermodynamicsAdvanced Mathematical IdentitiesAdvanced Combinatorial MathematicsMathematical functions and polynomials