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math.CA2018
Analytic properties of some basic hypergeometric-Sobolev-type orthogonal polynomials
Roberto S. Costas-Santos, A. Soria-Lorente
In this contribution we consider sequences of monic polynomials orthogonal with respect to a Sobolev-type inner product \[ \langle f,g \rangle _{S}:= \langle {\bf u}, f g\rangle +N…
math.NT2018
A single parameter Hermite-Padé series representations for Apéry's constant
Anier Soria-Lorente, Stefan Berres
Inspired by the results of Rhin and Viola (2001), the purpose of this work is to elaborate on a series representation for which only depends on one single intege…