The Singular Direction Of Quasi-meromorphic Functions And The Connection Between Unitary Clifford Matrices And M(?)bius Transformations

Abstract This thesis consists of two short papers. In the first part, we defined the Nevanlinna direction of the quasi-meromorphic functions in C, and prove that the quasi-meromorphic function flz) which satisfies the condition tim In T(r, ~ ?+~ has at least one Nevanlinna direction. mr In the second part, we discuss the connection between the unitary Clifford matrices and M鯾ius transformations. Yu Zuguo and Wang Jian proved that if a Clifford matrix is a unitary Clifford matrix, then the transformation gA(x) = (ax+b)(cx+d)?is an isometry in the chordal space (Re, D). In this paper we prove that the converse is also true. In addition, we obtain some other equivalence conditions for the unitary Clifford matries. Sun Guirong(Morden complex analysis) Directed by Doc. Chen Mm...