English

Fractal algebraic and linguistic structures generated by the Laurent series for the Gamma function near its negative poles

Number Theory 2015-11-17 v3

Abstract

We give closed-form expressions for the Laurent series coefficients of the Gamma function near all its strictly negative singularities. These closed-form expressions are clearly self-similar. We briefly describe their algebraic and grammatical budding patterns. As the degree of the coefficient grows to infinity its global structure becomes a fractal.

Keywords

Cite

@article{arxiv.1302.3613,
  title  = {Fractal algebraic and linguistic structures generated by the Laurent series for the Gamma function near its negative poles},
  author = {Andrei Vieru},
  journal= {arXiv preprint arXiv:1302.3613},
  year   = {2015}
}

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7 pages