Algorithms for special functions: computer algebra and analytical aspects

By using a recent generalization of the Cauchy-Schwarz inequality we obtain several new inequalities for some basic special functions such as beta and incomplete beta functions, gamma, polygamma and incomplete gamma functions, error functions, various ...

The aim of this paper is to study generating functions for the coefficients of the classical superoscillatory function associated with weak measurements. We also establish some new relations between the superoscillatory coefficients and many well-...

In this paper, we discuss a decision procedure for the indefinite integration of transcendental Liouvillian functions in terms of elementary functions and logarithmic integrals. We also discuss a decision procedure for the integration of a large class ...