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math.CA2026
A reciprocal-Gamma Mehler--Heine limit for Krawtchouk--Sobolev type orthogonal polynomials with an exterior mass point
Anier Soria Lorente, Junior Michel
We study the monic polynomials $\Sob{n}$ orthogonal with respect to a Sobolev-type modification of the discrete Krawtchouk inner product in which a single point mass at an exterior…
math.CA2026
Mehler--Heine asymptotics for finite differences of mass-modified Charlier and Meixner polynomials
Anier Soria-Lorente, Junior Michel
Point-mass perturbations and finite-difference operations alter the finite-degree structure of discrete orthogonal polynomials, but their combined effect at the Mehler--Heine scale…
math.CA2026
On generating functions and Mehler--Heine formulas for discrete Charlier and Meixner Sobolev-type orthogonal polynomials
Anier Soria Lorente, Junior Michel
Generating functions are among the most important analytical tools in the theory of orthogonal polynomials, providing a unified framework for deriving structural identities, asympt…