A generalization of Clausen’s identity
Author:
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory
Link
http://link.springer.com/content/pdf/10.1007/s11139-011-9314-1.pdf
Reference8 articles.
1. Andrews, G.E., Askey, R., Roy, R.: Special Functions. Cambridge Univ. Press, Cambridge (1999)
2. Bailey, W.N.: A reducible case of the fourth type of Appell’s hypergeometric functions of two variables. Q. J. Math. 4, 305–308 (1933)
3. Chaundy, W.: On Clausen’s hypergeometric identity. Q. J. Math. 9, 265–274 (1958)
4. Clausen, T.: Ueber die Fälle, wenn die Reihe von der Form $y=1+\frac{\alpha}{1}\cdot\frac{\beta}{\gamma}x +\frac{\alpha\cdot\alpha+1}{1\cdot2}\cdot \frac{\beta\cdot\beta+1}{\gamma\cdot\gamma+1}x^{2}+\mbox{etc.}$ ein quadrat von der Form $z=1+\frac{\alpha'}{1}\cdot\frac{\beta'}{\gamma'}\cdot \frac{\delta'}{\epsilon'}x+\frac{\alpha'\cdot\alpha'+1}{1\cdot2}\cdot\frac{\beta'\cdot\beta'+1}{\gamma'\cdot\gamma'+1}\cdot\frac{\delta'\cdot\delta'+1}{\epsilon'\cdot\epsilon'+1}x^{2}+\mbox{etc.}$ hat. J. Reine Angew. Math. 3, 89–91 (1828)
5. Lanfear, N., Suslov, S.: The time-dependent Schroedinger equation, Riccati equation and airy functions. Available at arXiv:0903.3608 (2009)
Cited by 4 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. Symbolic computations via Fourier–Legendre expansions and fractional operators;Integral Transforms and Special Functions;2021-04-25
2. Enumeration of S-Motzkin paths from left to right and from right to left: a kernel method approach;Pure Mathematics and Applications;2020-12-01
3. On the interplay between hypergeometric series, Fourier–Legendre expansions and Euler sums;Bollettino dell'Unione Matematica Italiana;2019-03-18
4. TRANSFORMATIONS AND INVARIANTS FOR DIHEDRAL GAUSS HYPERGEOMETRIC FUNCTIONS;Kyushu Journal of Mathematics;2012
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