Linearization of the products of the generalized Lauricella polynomials and the multivariate Laguerre polynomials via their integral representations

Shuoh-Jung Liu; Shy-Der Lin; Han-Chun Lu; H. Srivastava

doi:10.1556/sscmath.50.2013.3.1248

Studia Scientiarum Mathematicarum Hungarica

Volume/Issue:: Volume 50: Issue 3

Linearization of the products of the generalized Lauricella polynomials and the multivariate Laguerre polynomials via their integral representations

Authors:

Shuoh-Jung Liu

Shuoh-Jung Liu Chung Yuan Christian University Department of Applied Mathematics Chung-Li 32023 Taiwan, Republic of China

Search for other papers by Shuoh-Jung Liu in
Current site
Google Scholar
PubMed

Shy-Der Lin

Shy-Der Lin Chung Yuan Christian University Department of Applied Mathematics Chung-Li 32023 Taiwan, Republic of China

Search for other papers by Shy-Der Lin in
Current site
Google Scholar
PubMed

Han-Chun Lu

Han-Chun Lu Center for General Education, Mackay Medicine, Nursing and Management College Taipei City 11260 Taiwan, Republic of China

Search for other papers by Han-Chun Lu in
Current site
Google Scholar
PubMed

, and

H. Srivastava

H. Srivastava University of Victoria Department of Mathematics and Statistics Victoria British Columbia V8W 3R4 Canada

Search for other papers by H. Srivastava in
Current site
Google Scholar
PubMed

View More View Less

Pages:: 373–391

Online Publication Date:: 08 Oct 2013

Publication Date:: 01 Sep 2013

Article Category:: Journal Article

DOI:: https://doi.org/10.1556/sscmath.50.2013.3.1248

Keywords:: Primary 33C45, 33C65; Secondary 42C05; Linearization relations; hypergeometric polynomials in two and more variables; multivariable Laguerre polynomials; Lauricella polynomials F_A^(r); integral representations; gamma function; Eulerian Beta integral; Appell polynomials F₂

Restricted access

Purchase article

USD $30.00

1 year subscription (Individual Only)

USD $800.00

USD $30.00

Click here to view the full Terms and Conditions

USD $800.00

Click here to view the full Terms and Conditions

In this paper, the authors investigate the linearization problems associated with two families of generalized Lauricella polynomials of the first and second kinds. By means of their multiple integral representations, it is shown how one can linearize the product of two different members of each of these two families of the generalized Lauricella polynomials. Upon suitable specialization of the main results presented in this paper, the corresponding integral representations are deduced for such familiar classes of multivariable hypergeometric polynomials as (for example) the Lauricella polynomials F_A^(r) in r variables, the Appell polynomials F₂ in two variables and the multivariable Laguerre polynomials. Each of these integral representations, which are derived as special cases of the main results in this paper, may also be viewed as a linearization relationship for the product of two different members of the associated family of multivariable hypergeometric polynomials.

Save
Cite
Email this content

Share Link

Copy this link, or click below to email it to a friend
Email this content
or copy the link directly:

https://akjournals.com/abstract/journals/012/50/3/article-p373.xml
The link was not copied. Your current browser may not support copying via this button.

Link copied successfully

Collapse
Expand

Studia Scientiarum Mathematicarum Hungarica

Print ISSN:: 0081-6906

Online ISSN:: 1588-2896

Editors in Chief

Gábor SIMONYI (Rényi Institute of Mathematics)
András STIPSICZ (Rényi Institute of Mathematics)
Géza TÓTH (Rényi Institute of Mathematics)

Managing Editor

Gábor SÁGI (Rényi Institute of Mathematics)

Editorial Board

Imre BÁRÁNY (Rényi Institute of Mathematics)
Károly BÖRÖCZKY (Rényi Institute of Mathematics and Central European University)
Péter CSIKVÁRI (ELTE, Budapest)
Joshua GREENE (Boston College)
Penny HAXELL (University of Waterloo)
Andreas HOLMSEN (Korea Advanced Institute of Science and Technology)
Ron HOLZMAN (Technion, Haifa)
Satoru IWATA (University of Tokyo)
Tibor JORDÁN (ELTE, Budapest)
Roy MESHULAM (Technion, Haifa)
Frédéric MEUNIER (École des Ponts ParisTech)
Márton NASZÓDI (ELTE, Budapest)
Eran NEVO (Hebrew University of Jerusalem)
János PACH (Rényi Institute of Mathematics)
Péter Pál PACH (BME, Budapest)
Andrew SUK (University of California, San Diego)
Zoltán SZABÓ (Princeton University)
Martin TANCER (Charles University, Prague)
Gábor TARDOS (Rényi Institute of Mathematics)
Paul WOLLAN (University of Rome "La Sapienza")

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
Gábor Sági
Address: P.O. Box 127, H–1364 Budapest, Hungary
Phone: (36 1) 483 8344 ---- Fax: (36 1) 483 8333
E-mail: smh.studia@renyi.mta.hu

Indexing and Abstracting Services:

CABELLS Journalytics
CompuMath Citation Index
Essential Science Indicators
Mathematical Reviews
Science Citation Index Expanded (SciSearch)
SCOPUS
Zentralblatt MATH

2024
Scopus
CiteScore
CiteScore rank
SNIP
Scimago
SJR index	0.305
SJR Q rank	Q3

2023
Web of Science
Journal Impact Factor	0.4
Rank by Impact Factor	Q4 (Mathematics)
Journal Citation Indicator	0.49
Scopus
CiteScore	1.3
CiteScore rank	Q2 (General Mathematics)
SNIP	0.705
Scimago
SJR index	0.239
SJR Q rank	Q3

Studia Scientiarum Mathematicarum Hungarica
Publication Model	Hybrid
Submission Fee	none
Article Processing Charge	900 EUR/article (only for OA publications)
Printed Color Illustrations	40 EUR (or 10 000 HUF) + VAT / piece
Regional discounts on country of the funding agency	World Bank Lower-middle-income economies: 50% World Bank Low-income economies: 100%
Further Discounts	Editorial Board / Advisory Board members: 50% Corresponding authors, affiliated to an EISZ member institution subscribing to the journal package of Akadémiai Kiadó: 100%
Subscription fee 2025	Online subsscription: 796 EUR / 876 USD Print + online subscription: 900 EUR / 988 USD
Subscription Information	Online subscribers are entitled access to all back issues published by Akadémiai Kiadó for each title for the duration of the subscription, as well as Online First content for the subscribed content.
Purchase per Title	Individual articles are sold on the displayed price.

Studia Scientiarum Mathematicarum Hungarica
Language	English French German
Size	B5
Year of Foundation	1966
Volumes per Year	1
Issues per Year	4
Founder	Magyar Tudományos Akadémia
Founder's Address	H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher	Akadémiai Kiadó
Publisher's Address	H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Responsible Publisher	Chief Executive Officer, Akadémiai Kiadó
ISSN	0081-6906 (Print)
ISSN	1588-2896 (Online)