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math.CA2026
Appell Polynomials in Shifted Asymptotic Expansions: the Mills ratio, Hermite polynomials, and Stieltjes bounds
Tomislav Burić, Neven Elezović, Lenka Mihoković
A theorem of Burić, Elezović and Vuk\v sić states that translating the argument in an asymptotic expansion, , to , replaces the constant coef…
math.CA2026
Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution
Neven Elezović
We derive complete asymptotic expansions for the binomial mass at a bounded lattice displacement and for the mean absolute deviation , , with . De M…