A very general set of orthogonal polynomials in one variable that extends the classical polynomials is a set we called the q-Racah polynomials. In an earlier paper we gave the orthogonality relation for these polynomials when the orthogonality is purely discrete. We now give the…
We address the question of recovering the distribution function of a set of orthogonal polynomials from the three term recurrence relation satisfied by the polynomials. We investigate four sets of orthogonal polynomials: the Al-Salam-Chihara polynomials, random walk polynomials …
We address the question of recovering the distribution function of a set of orthogonal polynomials from the three term recurrence relation satisfied by the polynomials. We investigate four sets of orthogonal polynomials: the Al-Salam-Chihara polynomials, random walk polynomials …
We study non-holomorphic Eisenstein series which are defined with respect to the symplectic group over a totally real field, or to the special unitary group of signature ([italic]m, [italic]m) over a CM-field.
In this paper we explore a relationship that exists between the classical cusp form for subgroups of finite index in [italic]SL₂([double-struck capital]Z) and certain differential equations, and we develop a connection between the equation's monodromy representation and the spec…
