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math.NT2026
On a certain type of deformation of umbral orthogonal polynomials
Danil Krotkov
In the present paper we derive complicated families of orthogonal polynomials in one variable from scratch using the known ones as building blocks. We recall the basics of operatio…
math.NT2026
On families of monic polynomials
Danil Krotkov
In this paper we derive generalizations of different properties of monic polynomial families of binomial type, i.e. families of monic polynomials, for which the binomial theorem ho…