# Complete systems of Tricomi functions in spaces of holomorphic functions

 Title Complete systems of Tricomi functions in spaces of holomorphic functions Publication Type Journal Article Year of Publication 1999 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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