Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), a recursive scheme, Computation of special functions and constants, construction of tables, Algorithms for approximation of functions, conversion of polynomials, Numerical quadrature and cubature formulas, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, orthogonal polynomials, different polynomial bases, oscillatory and singular integrands