frozen-shoulder 发表于 2025-3-23 09:46:45
Book 2023analogue, and elliptic-analogue. Based on the addition formula and associated mathematical structures, productive studies have been carried out in the process of .q.-extension of the rational (classical) formulas in enumerative combinatorics, theory of special functions, representation theory, studyAlveolar-Bone 发表于 2025-3-23 16:04:35
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https://doi.org/10.1007/978-3-322-93175-7ngle delta function. Then we consider the Brownian motion on a unit circle, which is regarded as a one-dimensional torus and is denoted by .. Two different formulas of the transition probability are given, both of which are expressed using the theta function with different nomes. The equivalence ofaltruism 发表于 2025-3-24 05:37:57
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https://doi.org/10.1007/978-3-663-14751-0time duration . Here we define the correlation functions and their generating function called the characteristic function, which specify the point process. In particular, if all correlation functions are expressed by determinants specified by a two-point continuous function, then the point proANTE 发表于 2025-3-24 15:07:42
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Makoto KatoriExplains elliptic extensions using the Brownian motion and determinantal point processes.Uses only one kind of special function, called the theta function, and visualizes elliptic extensions using gra