314 research outputs found
Tur\'an type inequalities for Kr\"atzel functions
Complete monotonicity, Laguerre and Tur\'an type inequalities are established
for the so-called Kr\"atzel function defined by
Z_{\rho}^{\nu}(u)=\int_0^{\infty}t^{\nu-1}e^{-t^{\rho}-\frac{u}{t}}\dt,
where and Moreover, we prove the complete
monotonicity of a determinant function of which entries involve the Kr\"atzel
function.Comment: 9 page
Functional inequalities involving modified Struve functions
In this paper our aim is to prove some monotonicity and convexity results for
the modified Struve function of the second kind by using its integral
representation. Moreover, as consequences of these results, we present some
functional inequalities (like Tur\'an type inequalities) as well as lower and
upper bounds for modified Struve function of the second kind and its
logarithmic derivative.Comment: 8 page
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