%0 Journal Article %A Koshparyonok, V. N. %D 2001 %I Begell House %N 10-11 %P 9 %R 10.1615/TelecomRadEng.v55.i10-11.20 %T Analytical Regularization of Dual Series Equations in the Basis of Prolate Angular Spheroidal Functions %U https://www.dl.begellhouse.com/journals/0632a9d54950b268,51ec81300262b25c,337dc6e7496a2b15.html %V 55 %X 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. %8 2001-11-01