Thursday, June 28, 2018 11:00 LIT, r. 310 R.M. Yamaleev(LIT JINR ) 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.