On Some Degenerate Differential and Degenerate Difference Operators
T. Kim, D. S. Kim
Abstract
The aim of this paper is to make use of certain degenerate differential and degenerate difference operators in order to study some identities involving the degenerate harmonic numbers, certain finite sums of general nature, the sums of the values of the generalized falling factorials at consecutive positive integers, and the degenerate Laguerre polynomials.
Topics & Concepts
Degenerate energy levelsMathematicsDifferential (mechanical device)Pure mathematicsLaguerre polynomialsOrder (exchange)PhysicsQuantum mechanicsFinanceEconomicsThermodynamicsMathematical functions and polynomialsFractional Differential Equations SolutionsDifferential Equations and Boundary Problems