Operational identities, often exploited in the theory of exponential operators, are used to derive generating functions of Hermite and Kampe de Feriet polynomi-ยดรกls. The method we propose allows us to obtain unilateral, bilinear, and bilateral generating functions by using the same procedure. Possi
โฆ LIBER โฆ
Bilateral generating functions and operational methods
โ Scribed by G. Dattoli
- Book ID
- 108345035
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 75 KB
- Volume
- 269
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
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This paper presents a systematic introduction to and several applications of a certain method of obtaining bilinear or bilateral generating relations for a large variety of sequences of special functions. The main result, given by Theorem 1 below, is shown to apply, for instance, to the Bessel, Bra