{"id":25810,"date":"2022-02-09T12:11:47","date_gmt":"2022-02-09T11:11:47","guid":{"rendered":"https:\/\/cio.umh.es\/?p=25810"},"modified":"2022-02-09T12:11:47","modified_gmt":"2022-02-09T11:11:47","slug":"toledo-f-j-2022-on-the-convergence-of-infinite-towers-of-powers-and-logarithms-for-general-initial-data-applications-to-lambert-w-function-sequences-revista-de-la-real-academia-de-ciencias-e","status":"publish","type":"post","link":"https:\/\/cio.umh.es\/en\/2022\/02\/09\/toledo-f-j-2022-on-the-convergence-of-infinite-towers-of-powers-and-logarithms-for-general-initial-data-applications-to-lambert-w-function-sequences-revista-de-la-real-academia-de-ciencias-e\/","title":{"rendered":"Toledo, F.J. (2022) \u00abOn the convergence of infinite towers of powers and logarithms for general initial data: applications to Lambert W function sequences\u00bb, Revista de la Real Academia de Ciencias Exactas, F\u00edsicas y Naturales. Serie A. Matem\u00e1ticas, 116: 71"},"content":{"rendered":"<p class=\"AuthorHeader-module__syvlN margin-size-4-t\" style=\"text-align: justify\"><b>Francisco Javier Toledo (Centro de Investigaci\u00f3n Operativa, Universidad Miguel Hern\u00e1ndez de Elche)<\/b><\/p>\n<p class=\"AuthorHeader-module__syvlN margin-size-4-t\" style=\"text-align: justify\"><strong>Abstract:<\/strong> The objective of this paper is to provide the exact sets of initial data ensuring the convergence or divergence of a special class of real towers of powers and logarithms. All the terms forming these towers have a common value except the cusp element, that is indeed the initial data of the sequences defining the towers. The results obtained will be applied to some Lambert W function sequences, providing also the whole set of initial data which ensure their convergence or divergence.<\/p>","protected":false},"excerpt":{"rendered":"<p>Francisco Javier Toledo (Centro de Investigaci\u00f3n Operativa, Universidad Miguel Hern\u00e1ndez de Elche)<br \/>\nAbstract: The objective of this paper is to provide the exact sets of initial data ensuring the convergence or divergence of a special class of real towers of powers and logarithms. All the terms forming these towers have a common value except the cusp [&#8230;]<\/p>","protected":false},"author":5675,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_links_to":"","_links_to_target":""},"categories":[369888],"tags":[],"_links":{"self":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/25810"}],"collection":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/users\/5675"}],"replies":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/comments?post=25810"}],"version-history":[{"count":0,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/25810\/revisions"}],"wp:attachment":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/media?parent=25810"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/categories?post=25810"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/tags?post=25810"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}