A note on harmonic numbers, umbral calculus and generating functions

✍ Scribed by G. Dattoli; H.M. Srivastava

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 225 KB
• Volume: 21
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/j.aml.2007.07.021

✦ Synopsis

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.