Generalized Lyndon words. (Mots de Lyndon généralisés.)
Generalized near-Bell numbers.
Generalized Newton-like inequalities.
Generalized number derivatives.
Generalized pattern avoidance with additional restrictions.
Generalized permutation patterns and a classification of the Mahonian statistics.
Generalized poly-Cauchy polynomials and their interpolating functions
We give a generalization of poly-Cauchy polynomials and investigate their arithmetical and combinatorial properties. We also study the zeta functions which interpolate the generalized poly-Cauchy polynomials.
Generalized Schröder matrices arising from enumeration of lattice paths
We introduce a new family of generalized Schröder matrices from the Riordan arrays which are obtained by counting of the weighted lattice paths with steps , , , and and not going above the line . We also consider the half of the generalized Delannoy matrix which is derived from the enumeration of these lattice paths with no restrictions. Correlations between these matrices are considered. By way of illustration, we give several examples of Riordan arrays of combinatorial interest. In addition,...
Generalized Schröder numbers and the rotation principle.
Generalized Stirling numbers and polynomials.
Generalized -Newton inequalities revisited.
Generalizing Narayana and Schröder numbers to higher dimensions.
Generalizing the combinatorics of binomial coefficients via -nomials.
Generating function for -restricted jagged partitions.
Generating functions and generalized Dedekind sums.
Generating functions attached to some infinite matrices.
Generating functions for directed animals convex following their direction.
Generating functions for permutations which contain a given descent set.
Generating functions for plane partitions of a given shape.
Generating functions for statistics on .