We use methods of umbral calculus and algebraic nature to make some progress in the theory of generating functions involving harmonic numbers. We derive old and new results on generating functions in a fairly simple way and show that the method can be applied to find a common bridge with the theory of well-known (rather classical) generating functions. © 2007 Elsevier Ltd. All rights reserved.
All Science Journal Classification (ASJC) codes
- Computational Mechanics
- Control and Systems Engineering
- Applied Mathematics
- Numerical Analysis