A Non-linear Relation for Certain Hypergeometric Functions

Gerd Schmalz; Vladimir Ezhov

doi:10.1007/978-3-030-57000-2_3

A Non-linear Relation for Certain Hypergeometric Functions

Gerd Schmalz, Vladimir Ezhov

College of Science and Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We describe a family of Gaussian hypergeometric functions that satisfy a nonlinear differential identity.

Original language	English
Title of host publication	Asymptotic, Algebraic and Geometric Aspects of Integrable Systems - In Honor of Nalini Joshi On Her 60th Birthday, 2018
Editors	Frank Nijhoff, Yang Shi, Da-jun Zhang
Place of Publication	Switzerland
Publisher	Springer
Pages	37-41
Number of pages	5
ISBN (Electronic)	9783030570002
ISBN (Print)	9783030569990
DOIs	https://doi.org/10.1007/978-3-030-57000-2_3
Publication status	Published - 2020
Event	Asymptotic, Algebraic and Geometric Aspects of Integrable Systems Workshop, 2018 - Sanya, China Duration: 9 Apr 2018 → 13 Apr 2018

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	338
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	Asymptotic, Algebraic and Geometric Aspects of Integrable Systems Workshop, 2018
Country/Territory	China
City	Sanya
Period	9/04/18 → 13/04/18

Keywords

Essential symmetry
Gaussian hypergeometric function
Heisenberg sphere
Shear symmetry

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10.1007/978-3-030-57000-2_3Licence: In Copyright

https://rdcu.be/dA8lQLicence: In Copyright

Cite this

Schmalz, G., & Ezhov, V. (2020). A Non-linear Relation for Certain Hypergeometric Functions. In F. Nijhoff, Y. Shi, & D. Zhang (Eds.), Asymptotic, Algebraic and Geometric Aspects of Integrable Systems - In Honor of Nalini Joshi On Her 60th Birthday, 2018 (pp. 37-41). (Springer Proceedings in Mathematics and Statistics; Vol. 338). Springer . https://doi.org/10.1007/978-3-030-57000-2_3

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title = "A Non-linear Relation for Certain Hypergeometric Functions",

abstract = "We describe a family of Gaussian hypergeometric functions that satisfy a nonlinear differential identity.",

keywords = "Essential symmetry, Gaussian hypergeometric function, Heisenberg sphere, Shear symmetry",

author = "Gerd Schmalz and Vladimir Ezhov",

year = "2020",

doi = "10.1007/978-3-030-57000-2_3",

language = "English",

isbn = "9783030569990",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer ",

pages = "37--41",

editor = "Frank Nijhoff and Yang Shi and Da-jun Zhang",

booktitle = "Asymptotic, Algebraic and Geometric Aspects of Integrable Systems - In Honor of Nalini Joshi On Her 60th Birthday, 2018",

note = "Asymptotic, Algebraic and Geometric Aspects of Integrable Systems Workshop, 2018 ; Conference date: 09-04-2018 Through 13-04-2018",

}

Schmalz, G & Ezhov, V 2020, A Non-linear Relation for Certain Hypergeometric Functions. in F Nijhoff, Y Shi & D Zhang (eds), Asymptotic, Algebraic and Geometric Aspects of Integrable Systems - In Honor of Nalini Joshi On Her 60th Birthday, 2018. Springer Proceedings in Mathematics and Statistics, vol. 338, Springer , Switzerland, pp. 37-41, Asymptotic, Algebraic and Geometric Aspects of Integrable Systems Workshop, 2018, Sanya, China, 9/04/18. https://doi.org/10.1007/978-3-030-57000-2_3

A Non-linear Relation for Certain Hypergeometric Functions. / Schmalz, Gerd; Ezhov, Vladimir.
Asymptotic, Algebraic and Geometric Aspects of Integrable Systems - In Honor of Nalini Joshi On Her 60th Birthday, 2018. ed. / Frank Nijhoff; Yang Shi; Da-jun Zhang. Switzerland: Springer , 2020. p. 37-41 (Springer Proceedings in Mathematics and Statistics; Vol. 338).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - We describe a family of Gaussian hypergeometric functions that satisfy a nonlinear differential identity.

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KW - Gaussian hypergeometric function

KW - Heisenberg sphere

KW - Shear symmetry

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A Non-linear Relation for Certain Hypergeometric Functions

Abstract

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Keywords

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