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math.CV2004
Beta and Gamma functions of Cayley-Dickson numbers
S. V. Ludkovsky
The article is devoted to Beta and Gamma functions of Cayley-Dickson numbers. It is shown that there are specific features in comparison with the complex case. These functions serv…
math.CV2004★ 26 cited
Differentiable functions of Cayley-Dickson numbers
S. V. Ludkovsky
We investigate superdifferentiability of functions defined on regions of the real octonion (Cayley) algebra and obtain a noncommutative version of the Cauchy-Riemann conditions. Th…