Gegenbauer
Mostrando 1-3 de 3 artigos, teses e dissertações.
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1. Projeto de novos sistemas-wavelet com aplicaÃÃes na anÃlise de sinais do sistema elÃtrico / Design of new wavelet systems with applications in power system signal analysis
The wavelet transform equipped with the multiresolution analysis has been offered as an efficient tool in the investigation of non stationary signals derived from a plenty of areas. The development of new âbasisâ so as to implement such techniques has the aim of enlarging the span of suitable choices for a particular purpose. This thesis introduces new fam
Publicado em: 2006
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2. Combinatorics of traces of Hecke operators
We investigate the combinatorial properties of the traces of the nth Hecke operators on the spaces of weight 2k cusp forms of level N. We establish examples in which these traces are expressed in terms of classical objects in enumerative combinatorics (e.g., tilings and Motzkin paths). We establish in general that Hecke traces are explicit rational linear co
National Academy of Sciences.
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3. SOME BILINEAR GENERATING FUNCTIONS*
In the present paper, the author applies some of his earlier results which extend the well-known Hille-Hardy formula for the Laguerre polynomials to certain classes of generalized hypergeometric polynomials in order to derive various generalizations of a bilinear generating function for the Jacobi polynomials proved recently by Carlitz. The corresponding res