Methods for Evaluation of Certain Special Functions of Mathematical Physics in the Real Field and Their Application in the Theory of Waveguides


Георгиев, Георги (2006) Methods for Evaluation of Certain Special Functions of Mathematical Physics in the Real Field and Their Application in the Theory of Waveguides Proc. 2006 8th Int. Conf. Transp. Opt. Netw. ICTON 2006, Nottingham, United Kingdom, June 18-22, 2006, Vol. 1, art. no. 4013648, pp. 271-274, (Invited Paper). DOI: 10.1109/ICTON.2006.248234 https://www.scopus.com/inward/record.uri?eid=2-s2.0-34250680449&doi=10.1109%2fICTON.2006.248234&partnerID=40&md5=6d566723a581518176407c4b4b1c0860


 Methods for numerical computation of the gamma function G(x), of its logarithmic derivative Psi(x) and of the Kummer and Tricomi confluent hypergeometric functions 1F1(a,c;x) and U(a,c;x), resp. for real a, c and x, are proposed. For the purpose expansions of the functions in power series around point zero and some properties of G(x) amd Psi(x) are used. An application of the techniques is considered in the theory of azimuthally magnetized coaxial ferrite waveguides, supporting slow TE0n modes.
  Статия
 numerical analysis of special functions, computational methods in electromagnetic theory


Природни науки, математика и информатика

Natural sciences, mathematics and informatics

 Издадено
  3122
 Георги Георгиев

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