Rational approximations to values of Bell polynomials at points involving Euler's constant and zeta values

Khodabakhsh Hessami Pilehrood; Tatiana Hessami Pilehrood

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arXiv · 1011.3833

Rational approximations to values of Bell polynomials at points involving Euler's constant and zeta values

Khodabakhsh Hessami Pilehrood·Tatiana Hessami Pilehrood

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Abstract

In this paper, we present new explicit simultaneous rational approximations converging sub-exponentially to the values of Bell polynomials at the points of the form $(\gamma, 1! (2a+1)\zeta(2), 2!\zeta(3),..., (m-1)!(a+1+(-1)^ma)\zeta(m)),$ $m=1,2,...,a,$ $a\in{\mathbb N}.$

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Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood. 2010-11-16. Rational approximations to values of Bell polynomials at points involving Euler's constant and zeta values. https://arxiv.org/abs/1011.3833

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