In mathematics, the Hahn polynomials are a family of orthogonal polynomials in the Askey scheme of hypergeometric orthogonal polynomials, introduced by ...

In mathematics, the continuous Hahn polynomials are a family of orthogonal polynomials in the Askey scheme of hypergeometric orthogonal polynomials.

The orthogonal polynomials defined by h_n^((alpha,beta))(x,N)=((-1)^n(Nxn)_n(beta+x+1)_n)/(n!) ×_3F_2(-n,-x,

Table 18.22.1: Recurrence relations (18.22.2) for Krawtchouk, Meixner, and Charlier polynomials.

These polynomials serve as generating functions of the Hahn polynomials, for which it is more convenient to use a different normalization of the Hahn ...

Theq-Hahn polynomials appear as functions on the lattice of subspaces of a finite-dimensional vector space over a finite field.

Finally, we shall describe a linear programming problem, involving the. Hahn polynomials, the solution of which yields a lower bound to the cardinality of a t- ...

20 нояб. 2018 г. · In this paper, we represent the generalized Hahn polynomials ϕ (a) n (x, y) by the Cauchy operator for deriving its identities: generating ...

The Hahn Polynomials are discrete analogues of the Jacobi polynomials. Here we try to ascertain the depth of the analogy, by examining the relation between ...

1 дек. 2023 г. · Explicit expressions for the Hahn multiple polynomials of type I, in terms of Kampé de Fériet hypergeometric series, are given.