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Gegenbauer Polynomials and Fractional Derivatives

✍ Scribed by Bilodeau, G. G.


Book ID
125814900
Publisher
Mathematical Association of America
Year
1964
Tongue
English
Weight
332 KB
Volume
71
Category
Article
ISSN
0002-9890

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The affine group and generalized Gegenba
✍ Ph. Feinsilver; U. Franz πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 582 KB

Operators of the form f(xD) -g(L), where L is a shift (lowering) operator, arise naturally in the study of stochastic processes, such as Brownian motion, on the affine group. We find the polynomial eigenfunctions and the action of the affine group as well as the matrix elements of an exponential fun