A Laurent Series Proof of the Habsieger-Kadell $q$-Morris Identity

Xin, Guoce; Zhou, Yue

doi:10.37236/4221

Electron. J. Combin.

2014

DOI: 10.37236/4221

|View full text |Cite

A Laurent Series Proof of the Habsieger-Kadell $q$-Morris Identity

Guoce Xin

Yue Zhou

Abstract: We give a Laurent series proof of the Habsieger-Kadell $q$-Morris identity, which is a common generalization of the $q$-Morris identity and the Aomoto constant term identity. The proof allows us to extend the theorem for some additional parameter cases.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Symmetric function generalizations of the 𝑞-Baker–Forrester ex-conjecture and Selberg-type integrals

Xin,

Zhou

2024

Trans. Amer. Math. Soc.

View full text Add to dashboard Cite

It is well-known that the famous Selberg integral is equivalent to the Morris constant term identity. In 1998, Baker and Forrester conjectured a generalization of the q q -Morris constant term identity[J. Combin. Theory Ser. A 81 (1998), pp. 69–87]. This conjecture was proved and extended by Károlyi, Nagy, Petrov, and Volkov (KNPV) in 2015 [Adv. Math. 277 (2015), pp. 252–282]. In this paper, we obtain two symmetric function generalizations of the q q -Baker–Forrester ex-conjecture. These include: (i) a q q -Baker–Forrester type constant term identity for a product of a complete symmetric function and a Macdonald polynomial; (ii) a complete symmetric function generalization of KNPV’s result.

show abstract

Symmetric function generalizations of the 𝑞-Baker–Forrester ex-conjecture and Selberg-type integrals

Xin,

Zhou

2024

Trans. Amer. Math. Soc.

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

A Laurent Series Proof of the Habsieger-Kadell $q$-Morris Identity

Abstract: We give a Laurent series proof of the Habsieger-Kadell $q$-Morris identity, which is a common generalization of the $q$-Morris identity and the Aomoto constant term identity. The proof allows us to extend the theorem for some additional parameter cases.

Cited by 1 publication

References 23 publications

Symmetric function generalizations of the 𝑞-Baker–Forrester ex-conjecture and Selberg-type integrals

Symmetric function generalizations of the 𝑞-Baker–Forrester ex-conjecture and Selberg-type integrals

Contact Info

Product

Resources

About