Researcher finds solution to problem in 19th-century theory of meromorphic functions
Tuesday, May 28, 2013 - 05:00
in Physics & Chemistry
General theory of meromorphic functions in the complex plane began in the nineteenth century, when E. Picard proved his famous 'Picard's little theorem'. Then, in the 1920s, R. Nevanlinna created the modern theory of meromorphic functions, where his 'second main theorem (SMT)' provides a far-reaching generalization of Picard's theorem. Nowadays, the theory is well-established as a result of many excellent research studies. Nevertheless, the theory still has several unresolved problems, including the following one: