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X-WR-CALDESC:Събития за Institute of Mathematics and Informatics
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DTSTART;TZID=Europe/Sofia:20231107T140000
DTEND;TZID=Europe/Sofia:20231107T153000
DTSTAMP:20260507T223443
CREATED:20231103T065824Z
LAST-MODIFIED:20231103T065824Z
UID:15327-1699365600-1699371000@math.bas.bg
SUMMARY:Общ семинар на секция "Анализ\, геометрия и топология"
DESCRIPTION:Поредното заседание на Общия семинар на секция “Анализ\, геометрия и топология” ще се проведе\nна 7 ноември 2023 г. от 14:00 часа в зала 478 на ИМИ – БАН.\nДоклад на тема: \nNew and little known properties of the Fox and Fox-Wright functions\nще изнесе Dmitrii Karp\, Holon Institute of Technology\, Holon\, Israel. \nПоканват се всички интересуващи се. \nРезюме. In the talk\, I will introduce the functions H of Fox and W of Wright (its general case known as Fox-Wright function) and some motivation behind them. Then\, I will discuss the extension of Gauss’ expansion and summation formulas for the hypergeometric function to the case of general Fox-Wright function and Norlund’s expansion for the Meijer’s G function to the case of Fox’s H function. I will further present positivity conditions for the so-called delta-neutral case of Fox’s H function making it a probability distribution (widely used in statistics)\, which rely on complete monotonicity of certain product ratios of Gamma functions. Moreover\, I will exhibit a new integral equation for Fox’s H function and a conjecture regarding its zeros. Finally\, some open problems will be presented. \n\n 
URL:https://math.bas.bg/event/%d0%be%d0%b1%d1%89-%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%bd%d0%b0-%d1%81%d0%b5%d0%ba%d1%86%d0%b8%d1%8f-%d0%b0%d0%bd%d0%b0%d0%bb%d0%b8%d0%b7-%d0%b3%d0%b5%d0%be%d0%bc%d0%b5%d1%82%d1%80%d0%b8-21/
LOCATION:Институт по математика и информатика – БАН\, Block 8\, 1113 БАН IV км.\, София\, Bulgaria
CATEGORIES:Редовен семинар
ORGANIZER;CN="%D0%A1%D0%B5%D0%BA%D1%86%D0%B8%D1%8F%20%D0%90%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7%2C%20%D0%B3%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D0%B8%D1%8F%20%D0%B8%20%D1%82%D0%BE%D0%BF%D0%BE%D0%BB%D0%BE%D0%B3%D0%B8%D1%8F":MAILTO:vmil@math.bas.bg
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