Generalized Appell connection sequences
β Scribed by James W Brown; Jack L Goldberg
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 284 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
General classes of two variables Appell polynomials are introduced by exploiting properties of an iterated isomorphism, related to the so-called Laguerre-type exponentials. Further extensions to the multi-index and multivariable cases are mentioned. (~) 2004 Elsevier Ltd. All rights reserved.
## Abstract Recently Appell systems of monogenic polynomials in β^3^ were constructed by several authors. Main purpose of this paper is the description of another Appell system that is complete in the space of square integrable quaternionβvalued functions. A new Taylorβtype series expansion based o
This paper develops multi-stage connection networks i n which each input terminaZ can be connected t o any number o f output terminals. strict29 nonblocking or are rearrangeable. rithms and upper bounds on the required number of moves are deveZoped and it is shown that such netuorks have fewer cross