Conti et al. defined a two-variable polynomial associated with any rooted tree. In this paper we give an explicit combinatorial interpretation of the coefficients of this polynomial. In order to do this we introduce a special class of subtrees which seem to have never been considered before in the l
Combinatorial Interpretation and Operator Calculus of Lommel Polynomials
β Scribed by P. Feinsilver; J. McSorley; R. Schott
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 311 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0097-3165
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## Abstract We study the regularity of the roots of complex monic polynomials __P__ (__t__) of fixed degree depending smoothly on a real parameter __t__. We prove that each continuous parameterization of the roots of a generic __C__^β^ curve __P__ (__t__) (which always exists) is locally absolutely
In this paper, we mainly deal with two problems in integral geometry, the range characterizations and construction of inversion formulas for Radon transforms on higher rank Grassmann manifolds. The results will be described explicitly in terms of invariant differential operators. We will also study