Title | Complete systems of Tricomi functions in spaces of holomorphic functions |
Publication Type | Journal Article |
Year of Publication | 1996 |
Authors | Rusev P |
Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
Volume | 88 |
Issue | Livre 3 |
Pagination | 401-407 |
ISSN | 0205-0808 |
Abstract | Let $\Psi(a,c;z)$ be the main branch of Tricomi confluent hypergeometric function with parameters $a,c$ and $G$ be an arbitrary simply connected subregion of the complex plane cut along the real non-positive semiaxis. It is proved that a system of the kind \[\big\{\Psi(n + \lambda + \alpha + 1, \alpha + 1; z)\big\}_{n=0}^{\infty}\] is complete in the space of the complex functions holomorphic in $G$ provided that $\lambda$ and $\alpha$ are real and $\lambda + \alpha > -1$. |
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