{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,12,5]],"date-time":"2023-12-05T14:44:14Z","timestamp":1701787454836},"reference-count":31,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2023,4,5]],"date-time":"2023-04-05T00:00:00Z","timestamp":1680652800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"In this article, we introduce the generalized Bessel\u2013Maitland function (EGBMF) using the extended beta function and some important properties obtained. Thus, we first show interesting relationships of this function with Laguerre polynomials and the Whittaker functions. We also introduce and prove some properties of the derivatives associated with EGBMF. In this sense, we establish a result relative to the extended fractional derivatives of Riemann\u2013Liouville. Furthermore, the Mellin transform of this function is evaluated in terms of the generalized Wright hypergeometric function, and its Euler transform is also obtained. Finally, we derive several graphical representations using the Gauss quadrature and the Laguerre\u2013Gauss quadrature methods, which show that the numerical and theoretical simulations are consistent. The results derived from this research can be potentially useful in applications in several fields, in particular, physics, applied mathematics, and engineering.<\/jats:p>","DOI":"10.3390\/axioms12040356","type":"journal-article","created":{"date-parts":[[2023,4,6]],"date-time":"2023-04-06T05:10:27Z","timestamp":1680757827000},"page":"356","source":"Crossref","is-referenced-by-count":1,"title":["Analysis of Generalized Bessel\u2013Maitland Function and Its Properties"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"http:\/\/orcid.org\/0000-0002-4208-6784","authenticated-orcid":false,"given":"Talha","family":"Usman","sequence":"first","affiliation":[{"name":"Department of General Requirements, University of Technology and Applied Sciences, Sur 411, Oman"}]},{"given":"Nabiullah","family":"Khan","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh 202002, India"}]},{"ORCID":"http:\/\/orcid.org\/0000-0002-3733-1239","authenticated-orcid":false,"given":"Francisco","family":"Mart\u00ednez","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica Aplicada y Estad\u00edstica, Universidad Polit\u00e9cnica de Cartagena, 30203 Cartagena, Spain"}]}],"member":"1968","published-online":{"date-parts":[[2023,4,5]]},"reference":[{"key":"ref_1","unstructured":"Watson, G.N. 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