Elliptic Extensions in Statistical and Stochastic Systems

Discover the fascinating world of elliptic extensions in "Elliptic Extensions in Statistical and Stochastic Systems" by Makoto Katori, published in 2023 by Springer Verlag. This insightful paperback, spanning 125 pages, delves into the intricate relationships between special functions at the elliptic level, including Jacobi's theta functions, Weierstrass elliptic functions, and Jacobi's elliptic functions. Katori expertly defines seven systems of orthogonal theta functions, utilizing polynomials of the argument multiplied by single or paired theta functions. This book is an essential resource for researchers and practitioners in the fields of statistics and stochastic systems, offering a comprehensive understanding of these advanced mathematical concepts. Enhance your knowledge and explore the applications of elliptic functions in various statistical models today!