This book focuses on the ellipsoidal function, which serves as an evolution and extension of the circular function (trigonometric function) and elliptic function. It presents an in-depth discussion of the ellipsoidal function (algebra) theory and the conformal mapping (geometry) theory of the ellipsoid function, demonstrating the outstanding performance of the ellipsoid function response filter. Applications of the ellipsoidal function include the capacitance of ellipsoidal conductors and the surface area of ellipsoids, which in turn correspond to ellipsoidal integrals of the first kind and the second kind, respectively. The book offers a valuable reference guide for undergraduates, graduate students and researchers in the related fields.
Presents a completely new ellipsoid function Includes applications of the ellipsoid function: capacitance of an ellipsoid Discusses the outstanding performance achieved by applying the theories to filter design Includes supplementary material: sn.pub/extras
Chang-Hong Liang
Ellipsoidal Function Theory Circular Integral Elliptic Integral Conformal Mapping of Ellipsoidal Function Network of Ellipsoidal Function
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