The Cauchy-Riemann equations in anticomuting variables
Hrubý, J.
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The Cauchy-Riemann equations in anticomuting variables
Some remarks on a problem of C. Alsina.
J. Matkowski, M. Sablik (1986)
Stochastica
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Equation [1] f(x+y) + f (f(x)+f(y)) = f (f(x+f(y)) + f(f(x)+y)) has been proposed by C. Alsina in the class of continuous and decreasing involutions of (0,+∞). General solution of [1] is not known yet. Nevertheless we give solutions of the following equations which may be derived from [1]: [2] f(x+1) + f (f(x)+1) = 1, [3] f(2x) + f(2f(x)) = f(2f(x + f(x))). Equation [3] leads to a Cauchy functional equation: ...
Horizontal lift of tensor fields of type (1,1) from a manifold to its tangent bundle of higher order
Gancarzewicz, Jacek, Mahi, Salima, Rahmani, Noureddine
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