Add to ORKGUsing the language of exponential Riordan arrays, we study three distinct families of orthogonal polynomials defined by trigonometric functions. We study the moment sequences of theses families, finding continued fraction expressions for their generating functions, and calculate the Hankel transforms of these moment sequences. Results related to the Euler or zigzag numbers, as well as the generalized Euler or Springer numbers, are found. In addition, we characterize the Dowling numbers as moments of a family of orthogonal polynomials.
We determine which (ordinary) Riordan arrays are the coefficient arrays of a family of orthogonal po...
AbstractWe characterize the orthogonal polynomials in a class of polynomials defined through their g...
Abstract. We present characterization theorems for orthogonal polynomials obtained from a given syst...
Using the language of exponential Riordan arrays, we study three distinct families of orthogonal pol...
Using the theory of exponential Riordan arrays and orthogonal polynomials, we demonstrate that the `...
Using the theory of exponential Riordan arrays and orthogonal polynomials, we demonstrate that the g...
Taking the examples of Legendre and Hermite orthogonal polynomials, we show how to interpret the fac...
In the case of two combinatorial polynomials (the Bell polynomials and the Eulerian polynomials), we...
The aim of this work is to find simple formulas for the moments µn for all families of classical ort...
Taking the examples of Legendre and Hermite orthogonal polynomials, we show how to interpret the fa...
We study the properties of three families of exponential Riordan arrays related to the Stirling numb...
Taking the examples of Legendre and Hermite orthogonal polynomials, we show how to interpret the fa...
AbstractSzegő type polynomials with respect to a linear functional M for which the moments M[tn]=μ−n...
We study a family of polynomials in two variables, identifying them as the moments of a two-paramete...
In a series of articles about the numerical computation of orthogonal polynomials on a subset of the...
We determine which (ordinary) Riordan arrays are the coefficient arrays of a family of orthogonal po...
AbstractWe characterize the orthogonal polynomials in a class of polynomials defined through their g...
Abstract. We present characterization theorems for orthogonal polynomials obtained from a given syst...
Using the language of exponential Riordan arrays, we study three distinct families of orthogonal pol...
Using the theory of exponential Riordan arrays and orthogonal polynomials, we demonstrate that the `...
Using the theory of exponential Riordan arrays and orthogonal polynomials, we demonstrate that the g...
Taking the examples of Legendre and Hermite orthogonal polynomials, we show how to interpret the fac...
In the case of two combinatorial polynomials (the Bell polynomials and the Eulerian polynomials), we...
The aim of this work is to find simple formulas for the moments µn for all families of classical ort...
Taking the examples of Legendre and Hermite orthogonal polynomials, we show how to interpret the fa...
We study the properties of three families of exponential Riordan arrays related to the Stirling numb...
Taking the examples of Legendre and Hermite orthogonal polynomials, we show how to interpret the fa...
AbstractSzegő type polynomials with respect to a linear functional M for which the moments M[tn]=μ−n...
We study a family of polynomials in two variables, identifying them as the moments of a two-paramete...
In a series of articles about the numerical computation of orthogonal polynomials on a subset of the...
We determine which (ordinary) Riordan arrays are the coefficient arrays of a family of orthogonal po...
AbstractWe characterize the orthogonal polynomials in a class of polynomials defined through their g...
Abstract. We present characterization theorems for orthogonal polynomials obtained from a given syst...