Some Properties of Generalized Bessel Integral Operators

Abstract

In the space of functions analytic in an arbitrary starlike domain of the complex plane m-symmetric with respect to the origin, we defined a Bessel generalized integral operator ℐm of the mth order. We establish the equivalence between this operator and the Volterra integral operator of the mth order. The convolution is constructed for the indicated generalized Bessel integral operator. Some commutative properties of the operator ℐm are investigated.