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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.v55.i10-11.20
9 pages

Analytical Regularization of Dual Series Equations in the Basis of Prolate Angular Spheroidal Functions

V. N. Koshparyonok
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine 12, Academician Proskura St., Kharkov 61085

RÉSUMÉ

A conventional coordinate-related approach to regularization of dual series equations in the basis of angular spheroidal function is being developed with the use of an 1 example of the acoustic-plane wave problem. This approach is similar to the method previously devised for dual series equations with a kernel on the form of the Mathien periodic functions. A new physical result is obtained pertaining to the effect the Helmholtz resonator shape on its resonant frequency.


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