Motzkin Numbers: an Operational Point of View
The Motzkin numbers can be derived as coefficients of hybrid polynomials. Such an identification allows the derivation of new identities for this family of numbers and offers a tool to investigate previously unnoticed links with the theory of special functions and with the relevant treatment in term...
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 | Artioli, Marcello Dattoli, Giuseppe Licciardi, Silvia Pagnutti, Simonetta |
| description | The Motzkin numbers can be derived as coefficients of hybrid polynomials.
Such an identification allows the derivation of new identities for this family
of numbers and offers a tool to investigate previously unnoticed links with the
theory of special functions and with the relevant treatment in terms of
operational means. The use of umbral methods opens new directions for further
developments and generalizations, which leads, e.g., to the identification of
new Motzkin associated forms. |
| doi_str_mv | 10.48550/arxiv.1703.07262 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_1703_07262</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1703_07262</sourcerecordid><originalsourceid>FETCH-LOGICAL-a672-32b717cdbc00c29dc4b2fdd26a814f2d661ea5c838219c5037203b90d548224b3</originalsourceid><addsrcrecordid>eNotzjluwzAQQFE2LgI7B0gVXkDKcLjKXWBkA7wVRlphuAggbEsGraynD-Kk-t3HY-xGQK2c1nBH5TO_18KCrMGiwStWrYbxe597vn47-lTOc04935xSoTEPPR34dsj9yIeOv-b0MWOTjg7ndP3fKds9PuwWz9Vy8_SyuF9WZCxWEr0VNkQfAAI2MSiPXYxoyAnVYTRGJNLBSYeiCRqkRZC-gaiVQ1ReTtnt3_bibU8lH6l8tb_u9uKWP_uvO7s</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Motzkin Numbers: an Operational Point of View</title><source>arXiv.org</source><creator>Artioli, Marcello ; Dattoli, Giuseppe ; Licciardi, Silvia ; Pagnutti, Simonetta</creator><creatorcontrib>Artioli, Marcello ; Dattoli, Giuseppe ; Licciardi, Silvia ; Pagnutti, Simonetta</creatorcontrib><description>The Motzkin numbers can be derived as coefficients of hybrid polynomials.
Such an identification allows the derivation of new identities for this family
of numbers and offers a tool to investigate previously unnoticed links with the
theory of special functions and with the relevant treatment in terms of
operational means. The use of umbral methods opens new directions for further
developments and generalizations, which leads, e.g., to the identification of
new Motzkin associated forms.</description><identifier>DOI: 10.48550/arxiv.1703.07262</identifier><language>eng</language><subject>Mathematics - Combinatorics</subject><creationdate>2017-03</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1703.07262$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1703.07262$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Artioli, Marcello</creatorcontrib><creatorcontrib>Dattoli, Giuseppe</creatorcontrib><creatorcontrib>Licciardi, Silvia</creatorcontrib><creatorcontrib>Pagnutti, Simonetta</creatorcontrib><title>Motzkin Numbers: an Operational Point of View</title><description>The Motzkin numbers can be derived as coefficients of hybrid polynomials.
Such an identification allows the derivation of new identities for this family
of numbers and offers a tool to investigate previously unnoticed links with the
theory of special functions and with the relevant treatment in terms of
operational means. The use of umbral methods opens new directions for further
developments and generalizations, which leads, e.g., to the identification of
new Motzkin associated forms.</description><subject>Mathematics - Combinatorics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzjluwzAQQFE2LgI7B0gVXkDKcLjKXWBkA7wVRlphuAggbEsGraynD-Kk-t3HY-xGQK2c1nBH5TO_18KCrMGiwStWrYbxe597vn47-lTOc04935xSoTEPPR34dsj9yIeOv-b0MWOTjg7ndP3fKds9PuwWz9Vy8_SyuF9WZCxWEr0VNkQfAAI2MSiPXYxoyAnVYTRGJNLBSYeiCRqkRZC-gaiVQ1ReTtnt3_bibU8lH6l8tb_u9uKWP_uvO7s</recordid><startdate>20170321</startdate><enddate>20170321</enddate><creator>Artioli, Marcello</creator><creator>Dattoli, Giuseppe</creator><creator>Licciardi, Silvia</creator><creator>Pagnutti, Simonetta</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20170321</creationdate><title>Motzkin Numbers: an Operational Point of View</title><author>Artioli, Marcello ; Dattoli, Giuseppe ; Licciardi, Silvia ; Pagnutti, Simonetta</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a672-32b717cdbc00c29dc4b2fdd26a814f2d661ea5c838219c5037203b90d548224b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Mathematics - Combinatorics</topic><toplevel>online_resources</toplevel><creatorcontrib>Artioli, Marcello</creatorcontrib><creatorcontrib>Dattoli, Giuseppe</creatorcontrib><creatorcontrib>Licciardi, Silvia</creatorcontrib><creatorcontrib>Pagnutti, Simonetta</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Artioli, Marcello</au><au>Dattoli, Giuseppe</au><au>Licciardi, Silvia</au><au>Pagnutti, Simonetta</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Motzkin Numbers: an Operational Point of View</atitle><date>2017-03-21</date><risdate>2017</risdate><abstract>The Motzkin numbers can be derived as coefficients of hybrid polynomials.
Such an identification allows the derivation of new identities for this family
of numbers and offers a tool to investigate previously unnoticed links with the
theory of special functions and with the relevant treatment in terms of
operational means. The use of umbral methods opens new directions for further
developments and generalizations, which leads, e.g., to the identification of
new Motzkin associated forms.</abstract><doi>10.48550/arxiv.1703.07262</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.1703.07262 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_1703_07262 |
| source | arXiv.org |
| subjects | Mathematics - Combinatorics |
| title | Motzkin Numbers: an Operational Point of View |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-27T02%3A48%3A22IST&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=Motzkin%20Numbers:%20an%20Operational%20Point%20of%20View&rft.au=Artioli,%20Marcello&rft.date=2017-03-21&rft_id=info:doi/10.48550/arxiv.1703.07262&rft_dat=%3Carxiv_GOX%3E1703_07262%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 |