Positivity of oscillatory integrals and Hankel transforms

IF 0.7 3区数学 Q2 MATHEMATICS Integral Transforms and Special Functions Pub Date : 2023-10-26 DOI:10.1080/10652469.2023.2272212

Yong-Kum Cho, Seok-Young Chung, Young Woong Park

引用次数: 0

Abstract

In consideration of the integral transform whose kernel arises as an oscillatory solution of certain second-order linear differential equation, its positivity is investigated on the basis of Sturm's theory. As applications, positivity criteria are obtained for Hankel transforms as well as trigonometric integrals defined on the positive real line.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

振荡积分的正性与汉克尔变换

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文去求助

来源期刊

Integral Transforms and Special Functions 数学-数学

CiteScore

2.20

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Integral Transforms and Special Functions belongs to the basic subjects of mathematical analysis, the theory of differential and integral equations, approximation theory, and to many other areas of pure and applied mathematics. Although centuries old, these subjects are under intense development, for use in pure and applied mathematics, physics, engineering and computer science. This stimulates continuous interest for researchers in these fields. The aim of Integral Transforms and Special Functions is to foster further growth by providing a means for the publication of important research on all aspects of the subjects.

期刊最新文献

Convolution theorem for the windowed linear canonical transform Fourier transform of biorthogonal polynomials in one variable* Optimal power-type Heronian and Lehmer means inequalities for the complete elliptic integrals The symmetric Dunkl-classical orthogonal polynomials revisited Generalized form of 2D-Laguerre polynomials