
Characterizations of weighted (b,c) inverse
The notion of weighted (b,c)inverse of an element in rings were introdu...
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On the enumeration of plane bipolar posets and transversal structures
We show that plane bipolar posets (i.e., plane bipolar orientations with...
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Hypergeometric Expressions for Generating Functions of Walks with Small Steps in the Quarter Plane
We study nearestneighbors walks on the twodimensional square lattice, ...
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The algebra of Kleene stars of the plane and polylogarithms
We extend the definition and study the algebraic properties of the polyl...
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Algebraic Diagonals and Walks
The diagonal of a multivariate power series F is the univariate power se...
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Wilf classes of nonsymmetric operads
Two operads are said to belong to the same Wilf class if they have the s...
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Rounding Error Analysis of Linear Recurrences Using Generating Series
We develop a toolbox for the error analysis of linear recurrences with c...
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On Differentially Algebraic Generating Series for Walks in the Quarter Plane
We refine necessary and sufficient conditions for the generating series of a weighted model of a quarter plane walk to be differentially algebraic. In addition, we give algorithms based on the theory of MordellWeil lattices, that, for each weighted model, yield polynomial conditions on the weights determining this property of the associated generating series.
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