Bounds for the generalized Marcum function of the second kind
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DOI: 10.1007/s11139-021-00440-9
Abstract: In this paper, we focus on the generalized Marcum function of the second kind of order $$\nu >0$$ , defined by $$\begin{aligned} R_{\nu }(a,b)=\frac{c_{a,\nu }}{a^{\nu -1}} \int _b ^ {\infty } t^{\nu } e^{-\frac{t^2+a^2}{2}}K_{\nu -1}(at)\mathrm{d}t,… read more here.
Keywords: marcum function; generalized marcum; second kind; kind ... See more keywords
On approximating the modified Bessel function of the second kind
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DOI: 10.1186/s13660-017-1317-z
Abstract: In the article, we prove that the double inequalities πe−x2(x+a) read more here.
Keywords: second kind; modified bessel; function second; sqrt ... See more keywords