Q is a Convergence Set

Authors

  • Basma Al-Shutnawi Department of Mathematics, Tafila Technical University, Tafila, Jordan, 66110 (basma@ttu.edu.jo)
  • Mohammad Zannon Department of Mathematics, Tafila Technical University, Tafila, Jordan, 66110 (zanno1ms@cmich.edu.)

Keywords:

formal power series, convergence sets, Q the set of rational numbers, quasi-simply-connected sets.

Abstract

In this paper we consider the convergence sets of formal power series of the form f(z; t) =P1j=0 fj(z)tj , where fj(z) are polynomials functions on a domain ? in C.

A subset E of ? is said to be a convergence set if there is a series f(z; t) such that E is exactly the set of points z for which f(z; t) converges as a power series in t in some neighborhood of the origin . We prove that Q is a convergence set.

 

 

References

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Published

2015-03-30

How to Cite

Al-Shutnawi, B., & Zannon, M. (2015). Q is a Convergence Set. American Scientific Research Journal for Engineering, Technology, and Sciences, 11(1), 169–172. Retrieved from https://asrjetsjournal.org/index.php/American_Scientific_Journal/article/view/610