Generalized humbert polynomials
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Abstract (EN)
In this thesis, generalized Humbert polynomials are investigated. The thesis consists of seven chapters. The first chapter is devoted to introduction. In the second chapter, preliminaries and some definitions and lemmas to be used in the next chapters are given. In the third chapter, explicit formula and classical orthogonal polynomials for generalized Humbert polynomials are provided. In chapters four, five and six, hypergeometric representations, generating function relations and series expansions for some special polynomials regarding Humbert polynomials are recalled. In the last chapter, multivariate Humbert polynomials, bilinear and bilateral generating functions, special cases and miscellaneous properties are studied.
Author
Osman Çelik
How to Cite
Osman Çelik (Master Thesis). Generalized humbert polynomials, 2013, Gazi University.
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