CODE 106979 ACADEMIC YEAR 2021/2022 CREDITS 5 cfu anno 1 MATEMATICA 9011 (LM-40) - GENOVA 5 cfu anno 2 MATEMATICA 9011 (LM-40) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/05 TEACHING LOCATION GENOVA SEMESTER 1° Semester TEACHING MATERIALS AULAWEB OVERVIEW The class is devoted to a more advanced study of functions of a complex variable, proving important theorems such as those of Picard, Riemann and Hadamard. AIMS AND CONTENT LEARNING OUTCOMES The goal of the class is that of showing the main properties of functions of a complex variable. AIMS AND LEARNING OUTCOMES The goal of the class is that of showing the main properties of functions of a complex variable, with particular attention on their zeros and on the values they can take. In particular, we shall see that these have to satisfy several rigidity properties. PREREQUISITES Analisi Complessa TEACHING METHODS Traditional SYLLABUS/CONTENT Picard's theorem, Riemann mapping's theorem and the main proprties of functions of finite order. If time will allow, we'll study with more detail the Gamma function. RECOMMENDED READING/BIBLIOGRAPHY Carlo Viola - An Introduction to Special Functions More material will be also provided in Aulaweb. TEACHERS AND EXAM BOARD SANDRO BETTIN Ricevimento: By appointment Exam Board SANDRO BETTIN (President) MARC ALEXANDRE MUNSCH ALBERTO PERELLI (President Substitute) LESSONS LESSONS START Around the beginning of November, as indicated in the academic calendar. Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS EXAM DESCRIPTION Oral exam ASSESSMENT METHODS Oral exam on the program