Operational Rules and Arbitrary Order Hermite Generating Functions

✍ Scribed by G Dattoli; A Torre; M Carpanese

• Book ID: 102591881
• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 161 KB
• Volume: 227
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.1998.6080

✦ Synopsis

Operational identities, often exploited in the theory of exponential operators, are used to derive generating functions of Hermite and Kampe de Feriet polynomi-´áls.

The method we propose allows us to obtain unilateral, bilinear, and bilateral generating functions by using the same procedure. Possible extensions of the technique are also discussed.