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Closed-form expressions for derivatives of Bessel functions with respect to the order

dc.contributor.authorGonzález-Santander Martínez, Juan Luis 
dc.date.accessioned2024-01-17T12:22:14Z
dc.date.available2024-01-17T12:22:14Z
dc.date.issued2018-10-01
dc.identifier.citationJournal of Mathematical Analysis and Applications, 466(1), p. 1060-1081 (2018); doi:10.1016/j.jmaa.2018.06.043
dc.identifier.issn0022-247X
dc.identifier.urihttps://hdl.handle.net/10651/70864
dc.description.abstractWe have used recent integral representations of the derivatives of the Bessel functions with respect to the order to obtain closed-form expressions in terms of generalized hypergeometric functions and Meijer-G functions. Also, we have carried out similar calculations for the derivatives of the modified Bessel functions with respect to the order, obtaining closed-form expressions as well. For this purpose, we have obtained integral representations of the derivatives of the modified Bessel functions with respect to the order. As by-products, we have calculated two non-tabulated integrals.spa
dc.format.extentp. 1060-1081spa
dc.language.isoengspa
dc.publisherK. Driverspa
dc.relation.ispartofJournal of Mathematical Analysis and Applicationsspa
dc.rights© 2018 Elsevier*
dc.subjectBessel functions; Modified Bessel functions; Generalized hypergeometric functions; Meijer-G functionspa
dc.titleClosed-form expressions for derivatives of Bessel functions with respect to the orderspa
dc.typejournal articlespa
dc.identifier.doi10.1016/j.jmaa.2018.06.043
dc.relation.publisherversionhttps://doi.org/10.1016/j.jmaa.2018.06.043


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