Some Integral Equations Involving Hypergeometric Functions

Author:

Love E. R.

Abstract

SummaryAn integral equation of the first kind, with kernel involving a hypergeometric function, is discussed. Conditions sufficient for uniqueness of solutions are given, then conditions necessary for existence of solutions. Conditions sufficient for existence of solutions, only a little stricter than the necessary conditions, are given; and with them two distinct forms of explicit solution. These two forms are associated at first with different ranges of the parameters, but their validity in the complementary ranges is also discussed. Before giving the existence theory a digression is made on a subsidiary integral equation.Corresponding theorems for another integral equation resembling the main one are deduced from some of the previous theorems. Two more equations of similar form, less closely related, will be considered in another paper. Special cases of some of these four integral equations have been considered recently by Erdélyi, Higgins, Wimp and others.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 60 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Some fractional calculus findings associated with the product of incomplete ℵ-function and Srivastava polynomials;International Journal of Mathematics and Computer in Engineering;2023-10-31

2. Generalized fractional Dirac type operators;Fractional Calculus and Applied Analysis;2023-10-27

3. Elzaki Transform of Pathway Fractional Integrals Involving Extended Hypergeometric Functions in the Kernel;2023 International Conference on Fractional Differentiation and Its Applications (ICFDA);2023-03-14

4. Certain Pathway Fractional Integral Formulae Involving Extended Hypergeometric Functions;2023 International Conference on Fractional Differentiation and Its Applications (ICFDA);2023-03-14

5. Analysis of the family of integral equation involving incomplete types of I and Ī -functions;Applied Mathematics in Science and Engineering;2023-01-23

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3