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Telecommunications and Radio Engineering
SJR: 0.203 SNIP: 0.44 CiteScore™: 1

ISSN Imprimer: 0040-2508
ISSN En ligne: 1943-6009

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v71.i3.20
pages 209-216

ON THE CONFLUENT HYPERGEOMETRIC FUNCTIONS AND THEIR APPLICATION: BASIC ELEMENTS OF THE TRICOMI THEORY. CASE OF WAVEGUIDE PROPAGATION

G.N. Georgiev
Faculty of Mathematics and Informatics, University of Veliko Tirnovo "St. St. Cyril and Methodius", BG-5000 Veliko Tirnovo, Bulgaria
M.N. Georgieva-Grosse
2, Tcherny vrikh Str., BG-5138 Polikraishte, Bulgaria

RÉSUMÉ

The distinguishing features of the Tricomi theory of confluent hypergeometric functions (the theory of the Kummer and Tricomi ones) are specified. A numerical study of the latter is performed in the complex plane for selected values of their parameters. The results are depicted in a graphical form. The computation of the differential phase shift, provided by the circular waveguide, containing an azimuthally magnetized remanent ferrite toroid and a dielectric cylinder for the normal TE01 mode, is presented as an example of the employment of the functions in question.


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