BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Abhijit Banerjee (University of Kalyani\, India) DTSTART:20201215T140000Z DTEND:20201215T150000Z DTSTAMP:20260422T201707Z UID:CAvid/25 DESCRIPTION:Title: A survey on different uniqueness and strong uniqueness polynomials and thei r generating unique range sets\nby Abhijit Banerjee (University of Kal yani\, India) as part of CAvid: Complex Analysis video seminar\n\nLecture held in N/A.\n\nAbstract\nThe notion of unique range sets was introduced b y Gross-Yang [Proc. Japan Acad.\, 58 (1982)\, 17-20]. Since the inception of the definition\, it became an interesting topic for the researchers to study. In course of time\, the research had been shifted to-wards the char acterizations of the polynomial backbone of concerned sets. As a result\, the uniqueness and strong uniqueness polynomial appeared in the literature and made a lusting impression. \n\nIn 2000\, H. Fujimoto [H. Fujimoto\, O n uniqueness of meromorphic functions sharing finite sets\, Amer. J. Math. \, 122 (2000)\, 1175-1203.] first discovered a special property of a polyn omial\, called it as “property (H)” which played a vital role in the r esearch of uniqueness and strong uniqueness polynomial.\n\nWithin the real m of Nevanlinna theory\, we wish to elaborately characterize the existing uniqueness as well as strong uniqueness polynomials\, the relation between them and their contribution in forming the unique range sets under relaxe d sharing hypothesis. We also wish to discuss the scope for future researc h and intend to present our humble contribution in this aspect.\n LOCATION:https://researchseminars.org/talk/CAvid/25/ END:VEVENT END:VCALENDAR