Lie-theoretic generating relations of Hermite 2D polynomials
In this paper, we derive some generating relations involving Hermite 2D polynomials (H2DP) H m, n ( U; x, y), of two variables with an arbitrary 2D matrix U as parameter using Lie-theoretic approach. Certain (known or new) generating relations for the polynomials related to H2DP are also obtained as...
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| Veröffentlicht in: | Journal of computational and applied mathematics 2003-11, Vol.160 (1), p.139-146 |
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| container_title | Journal of computational and applied mathematics |
| container_volume | 160 |
| creator | Khan, Subuhi Pathan, M.A. |
| description | In this paper, we derive some generating relations involving Hermite 2D polynomials (H2DP)
H
m,
n
(
U;
x,
y), of two variables with an arbitrary 2D matrix
U as parameter using Lie-theoretic approach. Certain (known or new) generating relations for the polynomials related to H2DP are also obtained as special cases. |
| doi_str_mv | 10.1016/S0377-0427(03)00634-4 |
| format | Article |
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H
m,
n
(
U;
x,
y), of two variables with an arbitrary 2D matrix
U as parameter using Lie-theoretic approach. Certain (known or new) generating relations for the polynomials related to H2DP are also obtained as special cases.</description><identifier>ISSN: 0377-0427</identifier><identifier>EISSN: 1879-1778</identifier><identifier>DOI: 10.1016/S0377-0427(03)00634-4</identifier><identifier>CODEN: JCAMDI</identifier><language>eng</language><publisher>Amsterdam: Elsevier B.V</publisher><subject>Exact sciences and technology ; Generating relations ; Hermite 2D polynomials ; Lie algebra ; Mathematical analysis ; Mathematics ; Sciences and techniques of general use ; Special functions</subject><ispartof>Journal of computational and applied mathematics, 2003-11, Vol.160 (1), p.139-146</ispartof><rights>2003 Elsevier B.V.</rights><rights>2004 INIST-CNRS</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c415t-44f1b8a80372ae1a3b3793981b2914a392007499cdf17201c239fa98f6f817033</citedby><cites>FETCH-LOGICAL-c415t-44f1b8a80372ae1a3b3793981b2914a392007499cdf17201c239fa98f6f817033</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/S0377-0427(03)00634-4$$EHTML$$P50$$Gelsevier$$Hfree_for_read</linktohtml><link.rule.ids>309,310,314,780,784,789,790,3550,23930,23931,25140,27924,27925,45995</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=15233691$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Khan, Subuhi</creatorcontrib><creatorcontrib>Pathan, M.A.</creatorcontrib><title>Lie-theoretic generating relations of Hermite 2D polynomials</title><title>Journal of computational and applied mathematics</title><description>In this paper, we derive some generating relations involving Hermite 2D polynomials (H2DP)
H
m,
n
(
U;
x,
y), of two variables with an arbitrary 2D matrix
U as parameter using Lie-theoretic approach. Certain (known or new) generating relations for the polynomials related to H2DP are also obtained as special cases.</description><subject>Exact sciences and technology</subject><subject>Generating relations</subject><subject>Hermite 2D polynomials</subject><subject>Lie algebra</subject><subject>Mathematical analysis</subject><subject>Mathematics</subject><subject>Sciences and techniques of general use</subject><subject>Special functions</subject><issn>0377-0427</issn><issn>1879-1778</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><recordid>eNqFkMtKAzEUhoMoWKuPIMxG0cVobtMkIIjUS4UBF-o6pOlJjcxMajIV-vamF3Tp6j-L79w-hE4JviKYjK5fMROixJyKC8wuMR4xXvI9NCBSqJIIIffR4Bc5REcpfeJMKcIH6Kb2UPYfECL03hZz6CCa3nfzIkKTi9ClIrhiArH1PRT0vliEZtWF1psmHaMDlwNOdjlE748Pb-NJWb88PY_v6tJyUvUl545MpZH5BmqAGDZlQjElyZTmGwxTFGPBlbIzRwTFxFKmnFHSjZwkAjM2ROfbuYsYvpaQet36ZKFpTAdhmTQVkrMqzx-iagvaGFKK4PQi-tbElSZYr13pjSu9FqEx0xtXmue-s90Ck6xpXDSd9emvuaKMZV-Zu91ykL_99hB1sh46CzMfwfZ6Fvw_m34AHzp7vw</recordid><startdate>20031101</startdate><enddate>20031101</enddate><creator>Khan, Subuhi</creator><creator>Pathan, M.A.</creator><general>Elsevier B.V</general><general>Elsevier</general><scope>6I.</scope><scope>AAFTH</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope></search><sort><creationdate>20031101</creationdate><title>Lie-theoretic generating relations of Hermite 2D polynomials</title><author>Khan, Subuhi ; Pathan, M.A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c415t-44f1b8a80372ae1a3b3793981b2914a392007499cdf17201c239fa98f6f817033</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2003</creationdate><topic>Exact sciences and technology</topic><topic>Generating relations</topic><topic>Hermite 2D polynomials</topic><topic>Lie algebra</topic><topic>Mathematical analysis</topic><topic>Mathematics</topic><topic>Sciences and techniques of general use</topic><topic>Special functions</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Khan, Subuhi</creatorcontrib><creatorcontrib>Pathan, M.A.</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>Journal of computational and applied mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Khan, Subuhi</au><au>Pathan, M.A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Lie-theoretic generating relations of Hermite 2D polynomials</atitle><jtitle>Journal of computational and applied mathematics</jtitle><date>2003-11-01</date><risdate>2003</risdate><volume>160</volume><issue>1</issue><spage>139</spage><epage>146</epage><pages>139-146</pages><issn>0377-0427</issn><eissn>1879-1778</eissn><coden>JCAMDI</coden><abstract>In this paper, we derive some generating relations involving Hermite 2D polynomials (H2DP)
H
m,
n
(
U;
x,
y), of two variables with an arbitrary 2D matrix
U as parameter using Lie-theoretic approach. Certain (known or new) generating relations for the polynomials related to H2DP are also obtained as special cases.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/S0377-0427(03)00634-4</doi><tpages>8</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0377-0427 |
| ispartof | Journal of computational and applied mathematics, 2003-11, Vol.160 (1), p.139-146 |
| issn | 0377-0427 1879-1778 |
| language | eng |
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| source | Elsevier ScienceDirect Journals Complete; EZB-FREE-00999 freely available EZB journals |
| subjects | Exact sciences and technology Generating relations Hermite 2D polynomials Lie algebra Mathematical analysis Mathematics Sciences and techniques of general use Special functions |
| title | Lie-theoretic generating relations of Hermite 2D polynomials |
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