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We interpret the reciprocation process in K[[x]] as a fixed point problem related to contractive functions for certain adequate ultrametric spaces. This allows us to give a dynamical interpretation of certain arithmetical triangles introduced herein. Later we recognize, as a special case of our construction, the so called Riordan group which is a device… (More)

Recently, the concept of the complementary array of a Riordan array (or recursive matrix) has been introduced. Here we generalize the concept and distinguish between dual and complementary arrays. We show a number of properties of these arrays, how they are computed and their relation with inversion. Finally, we use them to find explicit formulas for the… (More)

Comparative studies on the density and diversity of white grubs community (Coleoptera: Melolonthidae) occurring in cultivated and noncultivated fields of the Planalto region of the state of Rio Grande do Sul, Brazil, are presented. Sampling was carried out in 23 municipalities during the 2009 and 2010 winter seasons. Cultivated and noncultivated fields were… (More)

Considering that sensilla constitute important functional elements of sensory systems in insects, the aim of this study was to determine the type and distribution of sensilla in the antennae of Hylamorpha elegans Burmeister examined by scanning electron microscopy. Hylamorpha elegans antennae are lamellate and consist of the scape, pedicel, and flagellum.… (More)

This paper describes an application of Rota and collaborator's ideas on the foundations on combinatorial theory to the computing of solutions of some linear functional partial differential equations. We give a dynamical interpretation of the convolution families of polynomials as the entries, in the matrix representation, of the exponentials of certain… (More)

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