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Published September 26, 2022 | Version v1
Journal article Open

Matrix continued fractions and Expansions of the Error Function

  • 1. Ibn Toufail University, Science faculty, Laboratory AMGNCA, Kenitra 14000, Morocco
  • 2. Sidi Mohamed Ben Abdellah University, Polydisciplinary Faculty , LSI, Taza, Morocco

Description

In this paper we recall some results and some criteria on the convergence of matrix continued fractions. The aim of this paper is to give some properties and results of continued fractions with matrix arguments. Then we give continued fraction expansions of the error function erf(A) where A is a matrix. At the end, some numerical examples illustrating the theoretical results are discussed.

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