[HTML][HTML] Inequalities for integrals of modified Bessel functions and expressions involving them

RE Gaunt - Journal of Mathematical Analysis and Applications, 2018 - Elsevier
Simple inequalities are established for some integrals involving the modified Bessel
functions of the first and second kind. In most cases, we show that we obtain the best …

Bounds for an integral of the modified Bessel function of the first kind and expressions involving it

RE Gaunt - Journal of Mathematical Analysis and Applications, 2021 - Elsevier
Simple upper and lower bounds are obtained for the integral∫ 0 xe− γ tt ν I ν (t) dt, x> 0, ν>−
1 2, 0< γ< 1. Most of our bounds for this integral are tight as x→∞. We apply one of our …

Monotonicity properties for ratios and products of modified Bessel functions and sharp trigonometric bounds

J Segura - Results in Mathematics, 2021 - Springer
Let I_ ν (x) I ν (x) and K_ ν (x) K ν (x) be the first and second kind modified Bessel functions. It
is shown that the nullclines of the Riccati equation satisfied by x^ α Φ _ i, ν (x) x α Φ i, ν (x), i …

Infinitely divisible modified Bessel distributions

Á Baricz, S Singh, A Vijesh V - arXiv preprint arXiv:2406.17721, 2024 - arxiv.org
In this paper we focus on continuous univariate probability distributions, like McKay
distributions, $ K $-distribution, generalized inverse Gaussian distribution and generalised …

Harmonic extension from the exterior of a cylinder

S Gardiner, H Render - Proceedings of the American Mathematical Society, 2021 - ams.org
Let $ h $ be a harmonic function on an annular cylinder. It was recently shown that, if $ h $
vanishes on the outer cylindrical boundary component, then it has a harmonic extension to a …

Performance Analysis of Energy-Harvesting Full-Duplex Relaying with Multi-Antenna and Cooperative Diversity

H Balaban, O Kucur - 2023 3rd International Conference on …, 2023 - ieeexplore.ieee.org
In this work, the performance of an energy-harvesting (EH) full-duplex (FD) amplify-and-
forward dual-hop network is studied. The network consists of a multi-antenna source (S) and …

Bounds for an integral involving the modified Struve function of the first kind

R Gaunt - Proceedings of the American Mathematical Society, 2021 - ams.org
Simple upper and lower bounds are established for the integral $\int _0^ x\mathrm {e}^{-
\beta t} t^\nu\mathbf {L} _\nu (t)\,\mathrm {d} t $, where $ x> 0$, $\nu>-1$, $0<\beta< 1$ and …

[引用][C] Turan type inequalities and bounds for some special functions

S Singh - Комплексный анализ и приложения, 2016 - elibrary.ru
Turan type inequalities and bounds for some special functions КОРЗИНА ПОИСК НАВИГАТОР
ЖУРНАЛЫ КНИГИ ПАТЕНТЫ ПОИСК АВТОРЫ ОРГАНИЗАЦИИ КЛЮЧЕВЫЕ СЛОВА …