Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11334
Title: | On properties of hypergeometric type-functions | Authors: | Cardoso, J. L. Fernandes, C. Alvarez-Nodarse, R. |
Keywords: | Hypergeometric Type Functions; Recurrence Relations; Classical Orthogonal Polynomials | Issue Date: | 2006 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 06-40 (2006) | Abstract: | The functions of hypergeometric type are the solutions y = y_(z) of the differential equation _(z)y′′+_ (z)y′+_y = 0, where _ and _ are polynomials of degrees not higher than 2 and 1, respectively, and _ is a constant. Here we consider a class of functions of hypergeometric type: those that satisfy the condition […] 0, where _ is an arbitrary complex (fixed) number. We also assume that the coefficients of the polynomials _ and _ do not depend on _. To this class of functions belong Gauss, Kummer and Hermite functions, and also the classical orthogonal polynomials. In this work, using the constructive approach introduced by Nikiforov and Uvarov, several structural properties of the hypergeometric type functions y = y_(z) are obtained. Applications to hypergeometric functions and classical orthogonal polynomials are also given | URI: | https://hdl.handle.net/10316/11334 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Vários |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
On properties of hypergeometric type-functions.pdf | 210.2 kB | Adobe PDF | View/Open |
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.