Vilekinâ€™s Additional Theorem for Legendre Functions and Rotation-based Measurements
Slavko Rupcic, Vanja Mandri-Radivojevic and NataÅ¡a NeÅ¡ic
Transactions on Machine Design , Vol. 11, No. 2, 2023.
DOI: https://doi.org/10.6025/tmd/2023/11/2/33-42
Link: https://www.dline.info/tmd/fulltext/v11n2/tmdv11n2_1.pdf
Abstract:
In this work, we applied Vilenkinâ€™s additional theorem among the circular apertures to measure the coupling calculations. We measure the vector-Legendre transformations of basis and test functions by keeping the domain over the aperture at an arbitrary level. With the help of Eulerâ€™s formula for rotating the coordinate system, we used the classical approach for the numerical measurements, which is more time intensive. With Vilekinâ€™s additional theorem for Legendre functions, we increased the rotation-based measurements.