On the class of A1 numbers: Definition, numerical modeling, domain of existence and application

@article{GeorgievaGrosse2011OnTC,
  title={On the class of A1 numbers: Definition, numerical modeling, domain of existence and application},
  author={Mariana Nikolova Georgieva-Grosse and Georgi Nikolov Georgiev},
  journal={2011 XXXth URSI General Assembly and Scientific Symposium},
  year={2011},
  pages={1-4}
}
The relation A<inf>1</inf> = A<inf>1−</inf>-A<inf>1+</inf> is exploited to advance the class of positive real numbers A<inf>1</inf> by means of the ones A<inf>1−</inf> and A<inf>1+</inf>. The latter are defined with the help of the positive purely imaginary zeros of a complex Kummer function of specially picked out parameters. A method is elaborated for counting the numerical equivalents of A<inf>1−</inf> and A<inf>1+</inf> (of A<inf>1</inf>). Tables and graphs illustrate the outcomes of… CONTINUE READING

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Contribution to the theory of A1 numbers

2012 14th International Conference on Transparent Optical Networks (ICTON) • 2012
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M. N. Georgieva-Grosse, G. N. Georgiev
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