Expansions of hypergeometric functions in hypergeometric functions

Author:

Fields Jerry L.,Wimp Jet

Abstract

In [1] Luke gave an expansion of the confluent hypergeometric function in terms of the modified Bessel functions I v ( z ) {I_v}(z) . The existence of other, similar expansions implied that more general expansions might exist. Such was the case. Here multiplication type expansions of low-order hypergeometric functions in terms of other hypergeometric functions are generalized by Laplace transform techniques.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference10 articles.

1. Expansion of the confluent hypergeometric function in series of Bessel functions;Luke, Yudell L.;Math. Tables Aids Comput.,1959

2. A. Erdélyi, W. Magnus, F. Oberhettinger & F. G. Tricomi, Higher Transcendental Functions, McGraw-Hill Book Company, Inc., 1953, Vol. 1. Hereafter in this list, we use the abbreviation H.T.F.

3. Expansion of hypergeometric functions in series of other hypergeometric functions;Luke, Yudell L.;Math. Comp.,1961

4. A. Erdélyi, W. Magnus, F. Oberhettinger & F. G. Tricomi, Tables of Integral Transforms, Vol. 1, McGraw-Hill Book Company, Inc., 1954.

5. Certain generating functions and associated polynomials;Rainville, E. D.;Amer. Math. Monthly,1945

Cited by 67 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. Solutions of the scattering problem in a complete set of Bessel functions with a discrete index;Journal of Mathematical Physics;2023-11-01

2. Further Closed Formulae of Exotic 3F2-Series;Axioms;2023-03-10

3. On some properties of the Neumann polynomials;Integral Transforms and Special Functions;2022-09-12

4. The Newton Polyhedron and Positivity of $${}_2F_3$$ Hypergeometric Functions;Constructive Approximation;2021-04-05

5. Preliminaries;Theory and Applications of Special Functions for Scientists and Engineers;2021

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