Advances in Inequalities for Special Functions (Hardcover)

This collection of 12 surveys of previous published works and new results relate to elements of special function theory. Topics include special functions approximations and bounds though integral representation, inequalities for positive Dirichlet series, the monotonicity of the mean value function of normalized Bessel functions of the first kind, the application of Sturm Theory for some classes of Sturm-Liouville equations and inequalities (and the monotonicity properties for the zeros of Bessel functions, inequalities for the gamma function through convexity, inequalities for hyperharmonic series, Hermite-Hadamard inequalities for double Dirichlet averages and their applications to special functions, new inequalities involving convex functions, growth rates in Weierstrab invariants, certain special functions of number theory and mathematical analysis, an operator related to the Bessel-wave equation and Laplacian Bessel, and inequalities for Walsh polynomials with semi-monotone coefficients of higher order.