Thursday, June 28, 2018
LIT, r. 310
R.M. Yamaleev

Representation of solutions of the Riccati-type equations by operators of divided differences calculus

The results of action of the operator of divided differences on entire functions are expressed by special type of matrices: Pascal matrix, companion matrix and matrices of a triangle form.
The main formulae of the generalized trigonometry and the solutions of high order Riccati equations are defined within the framework of the divided differences calculus.