Polinômios q-Ortogonais

• Main Author: Rafael, Matheus Henrique de Figueiredo
• Other Authors: Universidade Estadual Paulista (UNESP)
• Language: Portuguese
• Published: Universidade Estadual Paulista (UNESP) 2018
• Subjects: Análise; Polinômios ortogonais; Polinômios q-Ortogonais; Analysis; Orthogonal polynomials; q-Orthogonal polynomials
• Online Access: http://hdl.handle.net/11449/154230

Submitted by Matheus Henrique de Figueiredo Rafael ([e-mail]) on 2018-06-12T13:14:10Z No. of bitstreams: 1 merged.pdf: 638040 bytes, checksum: 3c71db8c27eb62182e4783fe8b859446 (MD5) === Approved for entry into archive by Elza Mitiko Sato null ([e-mail]) on 2018-06-12T19:00:48Z (GMT) No. of bitstreams: 1 rafael_mhf_me_sjrp.pdf: 638040 bytes, checksum: 3c71db8c27eb62182e4783fe8b859446 (MD5) === Made available in DSpace on 2018-06-12T19:00:48Z (GMT). No. of bitstreams: 1 rafael_mhf_me_sjrp.pdf: 638040 bytes, checksum: 3c71db8c27eb62182e4783fe8b859446 (MD5) Previous issue date: 2018-05-24 === Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) === O objetivo desta dissertação é estudar os chamados polinômios q-ortogonais. Com esse objetivo, analisamos algumas das igualdades envolvendo q-fatoriais, séries q-hipergeométricas e suas aplicações em certos polinômios q-ortogonais. Os resultados estão associados a quatro casos particulares de polinômios q-ortogonais, q-Hermite, q-Ultra-esféricos, Al-Salam-Chihara e Askey-Wilson, os quais são bastante explorados. === The objective of this dissertation is to consider a study of the so-called q-orthogonal polynomials. With this objective we look at some of the equalities involving qfatorials,q-hypergeometric series and their applications towards certain q-orthogonal polynomials. Results are associated with four particular cases of q-orthogonal polynomials,namely: theq-Hermite, q-Ultraespherical, Al-Salam-Chihara and the AskeyWilson, which thouroughly explored.