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

Khodabakhsh Hessami Pilehrood; Tatiana Hessami Pilehrood

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

Number Theory 2013-12-31 v1 Complex Variables

Authors: Khodabakhsh Hessami Pilehrood , Tatiana Hessami Pilehrood

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 $(\gamma, 1! (2a+1)\zeta(2), 2!\zeta(3),..., (m-1)!(a+1+(-1)^ma)\zeta(m)),$ $m=1,2,...,a,$ $a\in{\mathbb N}.$

Keywords

rational approximations Bell polynomials Euler's constant zeta values simultaneous approximations sub-exponential convergence

Cite

@article{arxiv.1011.3833,
  title  = {Rational approximations to values of Bell polynomials at points involving Euler's constant and zeta values},
  author = {Khodabakhsh Hessami Pilehrood and Tatiana Hessami Pilehrood},
  journal= {arXiv preprint arXiv:1011.3833},
  year   = {2013}
}

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25 pages

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

Abstract

Keywords

Cite

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