Generalized Bessel Functions and Generalized Hermite Polynomials
✍ Scribed by G. Dattoli; C. Chiccoli; S. Lorenzutta; G. Maino; A. Torre
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 204 KB
- Volume
- 178
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We discuss Hermite polynomials of the Gould᎐Hopper type, the associated harmonic oscillator-like functions, the differential equations they satisfy, and the relevant creation᎐annihilation operator algebra. We also introduce many variable Hermite polynomials of the Bell type, analyze their properties
We begin by classifying all solutions of two natural recurrences that Bernstein polynomials satisfy. The first scheme gives a natural characterization of Stancu polynomials. In Section 2, we identify the Bernstein polynomials as coefficients in the generating function for the elementary symmetric fu
## Abstract Clifford analysis is a higher‐dimensional function theory offering a refinement of classical harmonic analysis, which has proven to be an appropriate framework for developing higher‐dimensional continuous wavelet transforms, the construction of the wavelets being based on generalization