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Functional inequalities involving special functions. II.
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This paper is motivated by an open problem of Anderson, Vamanamurthy, and Vuorinen. We prove a chain of inequalities for hypergeometric functions, generalized and normalized Bessel functions, Kummer functions and for some general power series. Some particular cases and refinements are given.
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<div class="JournalArticle Publication short-list"> <div class="authors"> <span class="author-name" mtid="10013988"> <a href="/gui2/?type=authors&mode=browse&sel=10013988" target="_blank">Baricz, Árpád</a> </span> <span class="author-type"> </span> </div ><div class="title"><a href="/gui2/?mode=browse¶ms=publication;1353027" mtid="1353027" target="_blank">Functional inequalities involving special functions. II.</a></div> <div class="pub-info"> <span class="journal-title">JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS</span> <span class="journal-volume">327</span> : <span class="journal-issue">2</span> <span class="page"> pp. 1202-1213. , 12 p. </span> <span class="year">(2007)</span> </div> <div class="pub-end"><div class="identifier-list"> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:black" title="10.1016/j.jmaa.2006.05.006" target="_blank" href="https://doi.org/10.1016/j.jmaa.2006.05.006"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="S0022247X06004926" target="_blank" href="http://www.sciencedirect.com/science/article/pii/S0022247X06004926"> ScienceDirect </a> </span> </span> </div> <div class="short-pub-prop-list"> <span class="short-pub-mtid"> Publication:1353027 </span> <span class="status-holder"><span class="status-data status-APPROVED"> Published </span></span> <span class="pub-core">Core </span> <span class="pub-type">Journal Article (Article ) </span> <!-- && !record.category.scientific --> <span class="pub-category">Scientific</span> <div class="publication-citation" style="margin-left: 0.5cm;"> <span title="" class="citingPub-count">Citing papers: 24</span> | Independent citation: 24 | Self citation: 0 | Unknown citation: 0 | Number of citations in WoS: 1 | WoS/Scopus assigned: 1 | Number of citations with DOI: 15 </div> </div> </div> </div><div class="JournalArticle Publication long-list"> <div class="authors"> <img title="Forrásközlemény" style="float: left" src="/frontend/resources/grid/publication-core-icon.png"> <div class="autype autype0"> <span class="author-name" mtid="10013988"><a href="/gui2/?type=authors&mode=browse&sel=10013988" target="_blank">Baricz Árpád (<span class="authorship-author-name">Baricz Árpád</span> <span class="authorAux-mtmt"> Matematika</span>) </a> </span> </div> </div> <div class="title"><a href="/gui2/?mode=browse¶ms=publication;1353027" target="_blank">Functional inequalities involving special functions. II.</a></div> <div> <span class="journal-title">JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS</span> <span class="journal-issn">(<a target="_blank" href="https://portal.issn.org/resource/ISSN/0022-247X">0022-247X</a> <a target="_blank" href="https://portal.issn.org/resource/ISSN/1096-0813">1096-0813</a>)</span>: <span class="journal-volume">327</span> <span class="journal-issue">2</span> <span class="page"> pp 1202-1213 </span> <span class="year">(2007)</span> </div> <div class="pub-footer"> <span class="language" xmlns="http://www.w3.org/1999/html">Language: English | </span> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:black" title="10.1016/j.jmaa.2006.05.006" target="_blank" href="https://doi.org/10.1016/j.jmaa.2006.05.006"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="S0022247X06004926" target="_blank" href="http://www.sciencedirect.com/science/article/pii/S0022247X06004926"> ScienceDirect </a> </span> </span> <div class="publication-citation" style="margin-left: 0.5cm;"> <span title="" class="citingPub-count">Citing papers: 24</span> | Independent citation: 24 | Self citation: 0 | Unknown citation: 0 | Number of citations in WoS: 1 | WoS/Scopus assigned: 1 | Number of citations with DOI: 15 </div> <div class="mtid"><span class="long-pub-mtid">Publication: 1353027</span> | <span class="status-data status-APPROVED"> Published </span> <span class="oldId">Old id: 1353027</span> | Core | <span class="type-subtype">Journal Article ( Article ) </span> | <span class="pub-category">Scientific</span> | <span class="publication-sourceOfData">kézi felvitel</span> </div> <div class="lastModified">Last Modified: 2014.10.16. 18:42 Admin MTMT (admin) </div> </div></div>