In the present paper four theorems connecting Stieltjes transform and Hankel are established. The general in nature. Four integral formulae involving special functions obtained with help of these theorems. Otherwise it is very difficult to evaluate such type integrals. Other several integrals may be evaluated

We establish partial and local C1,α-regularity results for vectorial almost-minimizers of convex variational integrals in BV. In particular, we investigate cases with a degenerate or singular behavior of p-Laplace type, and we cover (local) minimizers of the exemplary integrals ∫

The development of operator theory is stimulated by the need to solve problems emerging from several fields in mathematics and physics. At present time, this has wide applications study non-linear differential equations, linear transport theory, diffraction acoustic electromagnetic waves, scattering inverse scattering, among others. In our work, we use computer algebra system Mathematica implem...