<div dir="ltr"><div class="gmail-adn gmail-ads" style="border-left:none;padding:0px;display:flex;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif;font-size:medium"><div class="gmail-gs" style="margin:0px;padding:0px 0px 20px;width:1120px"><div class="gmail-"><div id="gmail-:1kj" class="gmail-ii gmail-gt" style="direction:ltr;margin:8px 0px 0px;padding:0px;font-size:0.875rem"><div id="gmail-:1ki" class="gmail-a3s gmail-aiL" style="font-variant-numeric:normal;font-variant-east-asian:normal;font-stretch:normal;font-size:small;line-height:1.5;font-family:Arial,Helvetica,sans-serif;overflow:hidden"><div dir="ltr">Merhabalar,<div><br></div><div>11.05.2022 tarihinde saat 14.00 te Dr. Asena Çetinkaya (Kültür Üniversitesi) başlık ve özeti aşağıda verilen bir konuşma yapacaktır. Seminer Zoom programı üzerinden online yapılacaktır. Katılmak isteyenlerin katılım bilgilerini alabilmeleri için "<a href="mailto:huseyinuysal@istanbul.edu.tr" target="_blank">huseyinuysal@istanbul.edu.tr</a> " adresine mail atmaları gerekmektedir.<span style="font-family:tahoma,sans-serif"> </span></div><div><br></div><div><div><div><div dir="ltr"><div dir="ltr"><b><br></b></div><div dir="ltr"><div class="gmail_default"><div>-----------------------------------------------------------------------------------<br><div><div dir="ltr"><div dir="ltr"><b><br></b></div><div dir="ltr"><div class="gmail_default"><font face="arial, sans-serif"><b>Title:</b></font><font face="times new roman, serif"> </font><span style="font-family:"times new roman",serif;color:rgb(0,0,0);font-size:16px">Completely monotonic ratios of gamma functions</span></div><p style="font-size:13px"><b><font face="arial, sans-serif">Abstract:</font></b><font face="times new roman, serif"> </font><span style="font-family:"times new roman",serif;color:rgb(0,0,0);font-size:16px">We investigate conditions for logarithmic complete monotonicity of product ratios of gamma </span><span style="font-family:"times new roman",serif;color:rgb(0,0,0);font-size:16px">functions whose arguments are linear functions of the variable. We give necessary and sufficient conditions in terms of nonnegativity for these functions. In the latter case, we further provide simple new sufficient conditions leading to many new examples of logarithmically completely monotonic gamma ratios. Finally, we apply some of our results to study monotonicity of certain gamma ratios.</span></p></div><div dir="ltr">----------------------------------------------------------------------------------------<br></div></div></div></div><div><br></div></div></div></div></div></div><div><br></div><div><br></div><div>İyi Günler dilerim.</div><font color="#888888"><font color="#888888"><font color="#888888"><font color="#888888"><font color="#888888"><font color="#888888"><font color="#888888"><font color="#888888"><font color="#888888"><font color="#888888"><font color="#888888"><font color="#888888"><div>Temha</div></font></font></font></font></font></font></font></font></font></font></font></font></div></div><div class="gmail-yj6qo"></div><div class="gmail-adL"></div></div></div><div class="gmail-hi" style="border-bottom-left-radius:1px;border-bottom-right-radius:1px;padding:0px;width:auto;background:rgb(242,242,242);margin:0px"></div></div></div><div class="gmail-ajx" style="clear:both"></div></div><div class="gmail-gA gmail-gt gmail-acV" style="font-size:0.875rem;padding:0px;width:auto;border-bottom-left-radius:0px;border-bottom-right-radius:0px;border-top:none;margin:0px;background-image:initial;background-position:initial;background-size:initial;background-repeat:initial;background-origin:initial;background-clip:initial;font-family:Roboto,RobotoDraft,Helvetica,Arial,sans-serif"><div class="gmail-gB gmail-xu" style="border-top:0px;padding:0px"><div class="gmail-ip gmail-iq" style="clear:both;margin:0px;padding:16px 0px;border-top:none"><br class="gmail-Apple-interchange-newline"></div></div></div></div>
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