Finite Bivariate Biorthogonal M-Konhauser Polynomials
In this paper, we construct the pair of finite bivariate biorthogonal M-Konhauser polynomials, reduced to the finite orthogonal polynomials $M_{n}^{(p,q)}(t)$, by choosing appropriate parameters in order to obtain a relation between the Jacobi Konhauser polynomials and this new finite bivariate bior...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | |
| container_volume | |
| creator | Lekesiz, Esra Güldoğan Çekim, Bayram Özarslan, Mehmet Ali |
| description | In this paper, we construct the pair of finite bivariate biorthogonal
M-Konhauser polynomials, reduced to the finite orthogonal polynomials
$M_{n}^{(p,q)}(t)$, by choosing appropriate parameters in order to obtain a
relation between the Jacobi Konhauser polynomials and this new finite bivariate
biorthogonal polynomials $_{K}M_{n;\upsilon}^{(p,q)}(z,t)$ similar to the
relation between the classical Jacobi polynomials $P_{n}^{(p,q)}(t)$ and the
finite orthogonal polynomials $M_{n}^{(p,q)}(t)$. Several properties like
generating function, operational/integral representation are derived and some
applications like fractional calculus, Fourier transform and Laplace transform
are studied thanks to that new transition relation and the definition of finite
bivariate M-Konhauser polynomials. |
| doi_str_mv | 10.48550/arxiv.2409.03355 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2409_03355</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2409_03355</sourcerecordid><originalsourceid>FETCH-arxiv_primary_2409_033553</originalsourceid><addsrcrecordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMjGw1DMwNjY15WQwdcvMyyxJVXDKLEssykwEs_KLSjLy0_PzEnMUfHW98_MyEkuLU4sUAvJzKvPyczMTc4p5GFjTgFQqL5TmZpB3cw1x9tAFWxBfUJSZm1hUGQ-yKB5skTFhFQB54TLl</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Finite Bivariate Biorthogonal M-Konhauser Polynomials</title><source>arXiv.org</source><creator>Lekesiz, Esra Güldoğan ; Çekim, Bayram ; Özarslan, Mehmet Ali</creator><creatorcontrib>Lekesiz, Esra Güldoğan ; Çekim, Bayram ; Özarslan, Mehmet Ali</creatorcontrib><description>In this paper, we construct the pair of finite bivariate biorthogonal
M-Konhauser polynomials, reduced to the finite orthogonal polynomials
$M_{n}^{(p,q)}(t)$, by choosing appropriate parameters in order to obtain a
relation between the Jacobi Konhauser polynomials and this new finite bivariate
biorthogonal polynomials $_{K}M_{n;\upsilon}^{(p,q)}(z,t)$ similar to the
relation between the classical Jacobi polynomials $P_{n}^{(p,q)}(t)$ and the
finite orthogonal polynomials $M_{n}^{(p,q)}(t)$. Several properties like
generating function, operational/integral representation are derived and some
applications like fractional calculus, Fourier transform and Laplace transform
are studied thanks to that new transition relation and the definition of finite
bivariate M-Konhauser polynomials.</description><identifier>DOI: 10.48550/arxiv.2409.03355</identifier><language>eng</language><subject>Mathematics - Classical Analysis and ODEs</subject><creationdate>2024-09</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2409.03355$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2409.03355$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Lekesiz, Esra Güldoğan</creatorcontrib><creatorcontrib>Çekim, Bayram</creatorcontrib><creatorcontrib>Özarslan, Mehmet Ali</creatorcontrib><title>Finite Bivariate Biorthogonal M-Konhauser Polynomials</title><description>In this paper, we construct the pair of finite bivariate biorthogonal
M-Konhauser polynomials, reduced to the finite orthogonal polynomials
$M_{n}^{(p,q)}(t)$, by choosing appropriate parameters in order to obtain a
relation between the Jacobi Konhauser polynomials and this new finite bivariate
biorthogonal polynomials $_{K}M_{n;\upsilon}^{(p,q)}(z,t)$ similar to the
relation between the classical Jacobi polynomials $P_{n}^{(p,q)}(t)$ and the
finite orthogonal polynomials $M_{n}^{(p,q)}(t)$. Several properties like
generating function, operational/integral representation are derived and some
applications like fractional calculus, Fourier transform and Laplace transform
are studied thanks to that new transition relation and the definition of finite
bivariate M-Konhauser polynomials.</description><subject>Mathematics - Classical Analysis and ODEs</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMjGw1DMwNjY15WQwdcvMyyxJVXDKLEssykwEs_KLSjLy0_PzEnMUfHW98_MyEkuLU4sUAvJzKvPyczMTc4p5GFjTgFQqL5TmZpB3cw1x9tAFWxBfUJSZm1hUGQ-yKB5skTFhFQB54TLl</recordid><startdate>20240905</startdate><enddate>20240905</enddate><creator>Lekesiz, Esra Güldoğan</creator><creator>Çekim, Bayram</creator><creator>Özarslan, Mehmet Ali</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20240905</creationdate><title>Finite Bivariate Biorthogonal M-Konhauser Polynomials</title><author>Lekesiz, Esra Güldoğan ; Çekim, Bayram ; Özarslan, Mehmet Ali</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2409_033553</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Mathematics - Classical Analysis and ODEs</topic><toplevel>online_resources</toplevel><creatorcontrib>Lekesiz, Esra Güldoğan</creatorcontrib><creatorcontrib>Çekim, Bayram</creatorcontrib><creatorcontrib>Özarslan, Mehmet Ali</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Lekesiz, Esra Güldoğan</au><au>Çekim, Bayram</au><au>Özarslan, Mehmet Ali</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Finite Bivariate Biorthogonal M-Konhauser Polynomials</atitle><date>2024-09-05</date><risdate>2024</risdate><abstract>In this paper, we construct the pair of finite bivariate biorthogonal
M-Konhauser polynomials, reduced to the finite orthogonal polynomials
$M_{n}^{(p,q)}(t)$, by choosing appropriate parameters in order to obtain a
relation between the Jacobi Konhauser polynomials and this new finite bivariate
biorthogonal polynomials $_{K}M_{n;\upsilon}^{(p,q)}(z,t)$ similar to the
relation between the classical Jacobi polynomials $P_{n}^{(p,q)}(t)$ and the
finite orthogonal polynomials $M_{n}^{(p,q)}(t)$. Several properties like
generating function, operational/integral representation are derived and some
applications like fractional calculus, Fourier transform and Laplace transform
are studied thanks to that new transition relation and the definition of finite
bivariate M-Konhauser polynomials.</abstract><doi>10.48550/arxiv.2409.03355</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.2409.03355 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_2409_03355 |
| source | arXiv.org |
| subjects | Mathematics - Classical Analysis and ODEs |
| title | Finite Bivariate Biorthogonal M-Konhauser Polynomials |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-27T05%3A47%3A21IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Finite%20Bivariate%20Biorthogonal%20M-Konhauser%20Polynomials&rft.au=Lekesiz,%20Esra%20G%C3%BCldo%C4%9Fan&rft.date=2024-09-05&rft_id=info:doi/10.48550/arxiv.2409.03355&rft_dat=%3Carxiv_GOX%3E2409_03355%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |