Open AccessON SOME INTEGRAL REPRESENTATIONAL FORMULAS FOR SCHWARZIAN COEFFICIENTS WITH AN APPLICATION TO NUMBER THEORY
Author(s) -
Stephen M. Zemyan
Publication year - 1992
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.23.1992.4556
Subject(s) - mathematics , metric (unit) , pure mathematics , algebra over a field , mathematical analysis , discrete mathematics , economics , operations management
We develop integral representational formulas for all Schwarzian coefficients of single-slit mappings by utilizing Lowner's Parametric Method. As an application, we evaluate a complicated number theoretic sum.