Second level exponential operators are exponential operators involving exponentials of exponential operators. We discuss the relevant operational roles and show that they can be exploited to derive new families of generating functions and to study the properties of a large family of Appell type polynomials.
All Science Journal Classification (ASJC) codes
- Applied Mathematics
Dattoli, G., Lorenzutta, S., Cesarano, C., & Ricci, P. E. (2002). Second level exponentials and families of Appell polynomials. Integral Transforms and Special Functions, 13(6), 521 - 527. https://doi.org/10.1080/10652460213750