On the optimality of a characterization theorem for the gamma function using the multiplication formula.
On the -analogue of gamma functions and related inequalities.
On the q-Konhauser biorthogonal polynomials.
On the sine integral and the convolution.
On the stabiltiy of a system of functional equations characterizing generalize hyperbolic and trigonometric functions.
Operational identities for circular and hyperbolic functions and their generalizations.
Optimization of Rational Approximations by Continued Fractions
The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006.To get guaranteed machine enclosures of a special function f(x), an upper bound ε(f) of the relative error is needed, where ε(f) itself depends on the error bounds ε(app); ε(eval) of the approximation and evaluation error respectively. The approximation function g(x) ≈ f(x) is a rational function (Remez algorithm), and with sufficiently high polynomial degrees ε(app) becomes...