A Property of the L(c,p,n) Numbers and Its Application to Waveguide Propagation
Proc. XXIX URSI General Assembly, Chicago, IL, USA, Aug. 7-16, 2008, in CD.
Two classes of real numbers are defined, using the purely imaginary, resp. real zeros of special combinations of complex, resp. real Kummer and Tricomi functions. It is proved that under certain conditions the numbers coincide. This entails existence of two coinciding envelopes, restricting the phase curves of normal, resp. slow TE0n modes in the coaxial ferrite waveguide, magnetized azimuthally in negative direction, from the side of higher, resp. lower frequencies.
real numbers, confluent hypergeometric functions, waveguide propagation
Природни науки, математика и информатика
Natural sciences, mathematics and informatics