Vol. 323 No. 2 (2013): Математика и механика. Физика

The generalized G-operator of complex orders of real variable

The author introduces the local differentiation and integration G-operator of a complex order real variable which is the generalization of d-operator of real orders in the case of infinite number of local operators for which the conformity principle is fulfilled. The paper considers its several properties and special cases.

Keywords:

G-operator of a complex order, space of factors, integration polynomials, differentiation polynomials

Authors:

V. A. Churikov