Bounds for the generalized Marcum function of the second kind
Sign Up to like & getrecommendations! Published in 2021 at "Ramanujan Journal"
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
Geometric characterizations of some analytic functions related to the generalized Marcum Q-function
Sign Up to like & getrecommendations! Published in 2025 at "Quaestiones Mathematicae"
DOI: 10.2989/16073606.2025.2549939
Abstract: Abstract The aim of this paper is to study certain geometric properties, such as convexity of order α (0 ≤ α < 1) and uniform convexity inside the unit disk, for a class of analytic… read more here.
Keywords: function; analytic functions; generalized marcum; functions related ... See more keywords