The paper surveys interactions between complex and functional-analytic methods in the Cauchy-Kovalevskaya theory. For instance, the behaviour of the derivative
<正>The linear relationship between fractal dimensions of a type of generalized Weierstrass functions and the order of their fractional calculus has been proved
Properties of Lebesgue function for Lagrange interpolation on equidistant nodes are investigated.It is proved that Lebesgue function can be formulated both in t