{"id":430,"date":"2022-10-31T23:55:52","date_gmt":"2022-11-01T03:55:52","guid":{"rendered":"https:\/\/sciences.ucf.edu\/math\/ucfmathclub\/?p=430"},"modified":"2022-11-04T14:14:43","modified_gmt":"2022-11-04T18:14:43","slug":"analysis-seminar","status":"publish","type":"post","link":"https:\/\/sciences.ucf.edu\/math\/ucfmathclub\/analysis-seminar\/","title":{"rendered":"ANALYSIS SEMINAR"},"content":{"rendered":"<p>Friday, November 4, 2022\u00a0 (11\/04\/22)<\/p>\n<p>Location: ZOOM\u00a0 \u00a0 (<a href=\"https:\/\/ucf.zoom.us\/j\/96871069010\">https:\/\/ucf.zoom.us\/j\/96871069010<\/a>)<\/p>\n<p>When: 12 pm &#8211; 1 pm<\/p>\n<p>Speaker: Zeinab Mansour, Cairo University, Egypt<\/p>\n<p>Abstract: : Lidstone expansions express an entire function f(z) in terms of the values of the<br \/>\nderivatives of even orders at 0,1. The polynomials in the expansion are called Lidstone<br \/>\npolynomials. They are Bernoulli polynomials; many authors introduced necessary and (or)<br \/>\nsufficient conditions for the absolute convergence of the series in the expansion. The classical<br \/>\nexponential function plays an essential role in deriving the Lidstone series. In the q theory, we<br \/>\nhave three q-difference operators, the Jackson q-difference operator, the symmetric qdifference operator, and the Askey-Wilson q-difference operator. Each operator is associated<br \/>\nwith a q-analog of the exponential function. This talk introduces q-extensions to the Lidstone<br \/>\nexpansion associated with these operators. New three q-analogs of Bernoulli polynomials with<br \/>\nnice properties are coming out. Finally, we introduce an extension of the Leeming and<br \/>\nSharma Lidstone expansion theorem.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Friday, November 4, 2022\u00a0 (11\/04\/22) Location: ZOOM\u00a0 \u00a0 (https:\/\/ucf.zoom.us\/j\/96871069010) When: 12 pm &#8211; 1 pm Speaker: Zeinab Mansour, Cairo University, Egypt Abstract: : Lidstone expansions express an entire function f(z) in terms of the values of the derivatives of even orders at 0,1. The polynomials in the expansion are called Lidstone polynomials. They are Bernoulli &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"https:\/\/sciences.ucf.edu\/math\/ucfmathclub\/analysis-seminar\/\">Continue reading<\/a><\/p>\n","protected":false},"author":57,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"categories":[17],"tags":[],"class_list":["post-430","post","type-post","status-publish","format-standard","hentry","category-category-seminars","nodate","item-wrap"],"_links":{"self":[{"href":"https:\/\/sciences.ucf.edu\/math\/ucfmathclub\/wp-json\/wp\/v2\/posts\/430","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sciences.ucf.edu\/math\/ucfmathclub\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sciences.ucf.edu\/math\/ucfmathclub\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/ucfmathclub\/wp-json\/wp\/v2\/users\/57"}],"replies":[{"embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/ucfmathclub\/wp-json\/wp\/v2\/comments?post=430"}],"version-history":[{"count":2,"href":"https:\/\/sciences.ucf.edu\/math\/ucfmathclub\/wp-json\/wp\/v2\/posts\/430\/revisions"}],"predecessor-version":[{"id":439,"href":"https:\/\/sciences.ucf.edu\/math\/ucfmathclub\/wp-json\/wp\/v2\/posts\/430\/revisions\/439"}],"wp:attachment":[{"href":"https:\/\/sciences.ucf.edu\/math\/ucfmathclub\/wp-json\/wp\/v2\/media?parent=430"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/ucfmathclub\/wp-json\/wp\/v2\/categories?post=430"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sciences.ucf.edu\/math\/ucfmathclub\/wp-json\/wp\/v2\/tags?post=430"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}