0000000000715661
AUTHOR
Maria Pettineo
On a Buffon type problem for an irregular lattice and different test bodies
In this paper we solve Buffon type problems for the irregular lattice of figure 1 and for the test bodies and circle in which the sides and the radius respectively are constant.
Analysis of the railway network operations safety, with of different obstacles along the route, by the study of Buffon-Laplace type problems: the case of infrastructure with irregular hexagonal lattices
In this paper we use an approach based on a Buffon-Laplace type problem for an irregular hexagonal lattice and obstacles to study some problems about analysis of the railway network operations safety in the presence of different obstacles on the route.
Inequalities concerning starlike functions and their n-th root
If A is the class of all analytic functions in the complex unit disc $\Delta$, of the form: $f(z) = z + a_2z^2 + \cdots$ and if $f \in A$ satisfies in $\Delta$ the condition: $$Re \frac{zf'(z)}{f(z)} > |\frac{zf'(z)}{f(z)}-1|$$ then Re \sqrt[n]{f(z)/z \geq (n+1)/(n+2)}. We show also that if $f$ is starlike in $\Delta$ (i.e. Re zf'(z)/f(z) > 0 in $\Delta$), then Re \sqrt[n]{f(z)/z > n(n+2)}.
A Laplace type problem for a lattice with cell composed by two trapezius and a triangle
In the previous papers, [1], [2], [3], [4], [5], [6], [7], [8], [9] and [10] the authors study some Laplace problem for different lattices. In this paper we determine the probability that a random segment of constant length intersects a side of lattice with cell represented in fig.1
A laplace type problem for three lattices with non-convex cell
In this paper we consider three lattices with cells represented in Fig. 1, 3 and 5 and we determine the probability that a random segment of constant length intersects a side of lattice. c ⃝2016 All rights reserved.