Intrinsic inequalities involving Turan-type inequalities for some q-special functions are established. A special interest is granted to q-Dunkl kernel. The results presented here would provide extensions of those given in the classical case.

On some Turán-type inequalities for q-special functions

The $q$ analog of Modified Bessel functions and Bessel-Macdonald functions, were defined in our previous work (q-alg/950913) as general solutions of a second order difference equations. Here we present a collection of their representations by the Jackson q-integral.

V-B. K. Rogov

Papers

Jackson Integral Representations of Modified $q$-Bessel Functions and $q$-Bessel-Macdonald Functions