{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T00:53:57Z","timestamp":1760144037341,"version":"build-2065373602"},"reference-count":29,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2024,3,17]],"date-time":"2024-03-17T00:00:00Z","timestamp":1710633600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"King Khalid University","award":["RGP 2\/414\/44","PNURSP2024R45"],"award-info":[{"award-number":["RGP 2\/414\/44","PNURSP2024R45"]}]},{"name":"Princess Nourah bint Abdulrahman University Researchers","award":["RGP 2\/414\/44","PNURSP2024R45"],"award-info":[{"award-number":["RGP 2\/414\/44","PNURSP2024R45"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, we explore a study focused on a two-variable extension of matrix Bessel polynomials. We initiate the discussion by introducing the matrix Bessel polynomials involving two variables and derive specific differential formulas and recurrence relations associated with them. Additionally, we present a segment detailing integral formulas for the extended matrix Bessel polynomials. Lastly, we introduce the Laplace\u2013Carson transform for the two-variable matrix Bessel polynomial analogue.<\/jats:p>","DOI":"10.3390\/axioms13030202","type":"journal-article","created":{"date-parts":[[2024,3,18]],"date-time":"2024-03-18T04:25:15Z","timestamp":1710735915000},"page":"202","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["On the Two-Variable Analogue Matrix of Bessel Polynomials and Their Properties"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5454-380X","authenticated-orcid":false,"given":"Ahmed","family":"Bakhet","sequence":"first","affiliation":[{"name":"College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China"}]},{"given":"Shahid","family":"Hussain","sequence":"additional","affiliation":[{"name":"College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China"}]},{"given":"Mohamed","family":"Niyaz","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4312-8330","authenticated-orcid":false,"given":"Mohammed","family":"Zakarya","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2222-7973","authenticated-orcid":false,"given":"Ghada","family":"AlNemer","sequence":"additional","affiliation":[{"name":"Department of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 105862, Riyadh 11656, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2024,3,17]]},"reference":[{"key":"ref_1","first-page":"348","article-title":"Generating functions for the generalized Gauss hypergeometric functions","volume":"247","author":"Srivastava","year":"2014","journal-title":"Appl. Math. Comput."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Agarwal, P.S., Dragomir, M.J., and Samet, B. (2019). Advances in Mathematical Inequalities and Applications, Birkhaser. 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