In the present paper, we proved that when u03bd > u00bd the sequence ${int_{mu_{nu, k}}^{mu_{nu, k+1}}x^{-nu+1}vert J_{nu}(x)vert dx}$ has higher monotonicity properties and the properties imply those of the sequence of the local maxima of the function x-u03bd+1|Ju...
functionBessel functiona b s t r a c tIn this paper, we give a set of sufficient conditions for the normalized form of thegeneralized Bessel function to be univalent in the open unit disk, and further we obtaincertain inequalities containing normalized Bessel functions.© 2011 Elsevier Ltd....
贝塞尔函数专题Introduction to Bessel Functions_部分2 热度: Properties of Certain Subclass of Multivalent Functions with Negative Coefficients 热度: 3.4 贝塞尔函数(柱函数) 3.4.2 Bessel方程固有值问题 热度: 相关推荐 AppliedMathematicsLetters24(2011)2133–2139 ContentslistsavailableatScienceDirect Applied...
摘要: The purpose of the present paper is to study the mapping properties of an integral operator involving Bessel functions of the first kind on a subclass of analytic univalent functions.DOI: 10.1007/978-1-4939-0258-3_32 被引量: 3 ...
The aim of this paper is to derive new representations for the Hankel functions, the Bessel functions and their derivatives, exploiting the reformulation of the method of steepest descents by M. V. Berry and C. J. Howls (Berry and Howls, Proc. R. Soc. Lo
Close-to-convex functionsIn this paper, the products of modied Bessel functions of the rst kind are considered. Our main aim is to provide various conditions so that these products have certain geometric properties such as starlikeness, convexity, and close to convexity (univalency) with respect...
UNIVALENT functionsIn this paper, the normalized hyper-Bessel functions are studied. Certain sufficient conditions are determined such that the hyper-Bessel functions are close-to-convex, starlike and convex in the open unit disc. We also study the Hardy spaces of hyper-Bessel functions....
作者:A Laforgia,ME Muldoon DOI: 10.1016/0022-247x(84)90262-2 年份: 1984 收藏 引用 批量引用 报错 分享 全部来源 免费下载 求助全文 Elsevier (全网免费下载) core.ac.uk (全网免费下载) onAcademic 研究点推荐 zeros of Bessel 站内活动
In addition, we show that the differences of the zeros of various orthogonal polynomials with higher degrees possess sign regularity. Keywords: Sturm–Liouville equations; differences; zeros; completely monotonic functions; Bessel functions; orthogonal polynomials MSC: 34B24; 33C10...
{u k} } / u }$ decreases as $u $ increases, $0 < u < \infty $, and that ${{j_{u k}^2 } / u }$ and ${{dj_{u k}^2 } / {du }}$ increase with $u $ for sufficiently large $u $, where $j_{u k} $ is the kth positive zero of the Bessel function $J_u (...