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Extension of trigonometric and hyperbolic functions to vectorial arguments and its application to the representation of rotations and Lorentz transformations

✍ Scribed by H. Yamasaki


Publisher
Springer US
Year
1983
Tongue
English
Weight
860 KB
Volume
13
Category
Article
ISSN
0015-9018

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An Extension of the CsΓΆrgΕ‘-HorvΓ‘th Funct
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Consider a triangular array \(X_{1}^{n}, \ldots, X_{n}^{n}, n \in \mathbb{N}\), of rowwise independent random clements with values in a measurable space. Suppose there exists \(\theta \in[0,1)\) such that \(X_{1}^{n}, \ldots, X_{\left.\left[n^{n}\right\}\right]}^{n}\) have distribution \(v_{1}\) and