On the class of A1 numbers: Definition, numerical modeling, domain of existence and application
Mariana Nikolova Georgieva-Grosse, Георги Николов Георгиев · 2011
The relation A1= A1--A1+is exploited to advance the class of positive real numbers A1by means of the ones A1-and A1+. 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 A1-and A1+(of A1). Tables and graphs illustrate the outcomes of computations. The limits of the existence domains of each of the three kinds of numbers are found, too. A formula for calculation of the differential phase shift produced by the circular waveguide with azimuthally magnetized ferrite which sustains normal TE01mode is suggested, employing the quantities A1.