Inequalities for some special functions

Inequalities for Bessel functions, modified Bessel functions and of their ratios are obtained. These results are either sharper or hold under weaker conditions than had been known earlier. Similar inequalities are proved for the function wv(t) = tIv(t)Iv+1(t), which is useful in some problems of finite elasticity. In the sequel inequalities for confluent hypergeometric functions and of their ratios are established.