Multivariate basic hypergeometric series associated to root systems of type Am

Medhat A. Rakha

doi:10.1016/j.jmaa.2004.02.007

Multivariate basic hypergeometric series associated to root systems of type A_m

Medhat A. Rakha^*

^*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

1 اقتباس (Scopus)

ملخص

In previous paper [Ann. Comb. 4 (2000) 347-373], we established and proved two new q-beta integrals and two multivariate basic hypergeometric series associated with the root system of A_m. In this paper we give a detailed proof of the multivariate basic hypergeometric series obtained in [Ann. Comb. 4 (2000) 347-373].

اللغة الأصلية	English
الصفحات (من إلى)	181-195
عدد الصفحات	15
دورية	Journal of Mathematical Analysis and Applications
مستوى الصوت	294
رقم الإصدار	1
المعرِّفات الرقمية للأشياء	https://doi.org/10.1016/j.jmaa.2004.02.007
حالة النشر	Published - يونيو 1 2004
منشور خارجيًا	نعم

ASJC Scopus subject areas

???subjectarea.asjc.2600.2603???
???subjectarea.asjc.2600.2604???

الوصول إلى المستند

10.1016/j.jmaa.2004.02.007

الملفات والروابط الأخرى

قم بذكر هذا

@article{d3adf34a91df495baa17f5a82cc7eeb5,

title = "Multivariate basic hypergeometric series associated to root systems of type Am",

abstract = "In previous paper [Ann. Comb. 4 (2000) 347-373], we established and proved two new q-beta integrals and two multivariate basic hypergeometric series associated with the root system of Am. In this paper we give a detailed proof of the multivariate basic hypergeometric series obtained in [Ann. Comb. 4 (2000) 347-373].",

keywords = "Hypergeometric series very well poised on Lie algebras, Integral transformations, q-beta integrals, q-series",

author = "Rakha, {Medhat A.}",

year = "2004",

month = jun,

day = "1",

doi = "10.1016/j.jmaa.2004.02.007",

language = "English",

volume = "294",

pages = "181--195",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Multivariate basic hypergeometric series associated to root systems of type Am

AU - Rakha, Medhat A.

PY - 2004/6/1

Y1 - 2004/6/1

N2 - In previous paper [Ann. Comb. 4 (2000) 347-373], we established and proved two new q-beta integrals and two multivariate basic hypergeometric series associated with the root system of Am. In this paper we give a detailed proof of the multivariate basic hypergeometric series obtained in [Ann. Comb. 4 (2000) 347-373].

AB - In previous paper [Ann. Comb. 4 (2000) 347-373], we established and proved two new q-beta integrals and two multivariate basic hypergeometric series associated with the root system of Am. In this paper we give a detailed proof of the multivariate basic hypergeometric series obtained in [Ann. Comb. 4 (2000) 347-373].

KW - Hypergeometric series very well poised on Lie algebras

KW - Integral transformations

KW - q-beta integrals

KW - q-series

UR - http://www.scopus.com/inward/record.url?scp=3242706541&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3242706541&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2004.02.007

DO - 10.1016/j.jmaa.2004.02.007

M3 - Article

AN - SCOPUS:3242706541

SN - 0022-247X

VL - 294

SP - 181

EP - 195

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -