Extreme Bloch functions and summation methods for Bloch functions (Q1299988)

For certain functions which are holomorphic only in the unit disc, their Taylor's series expansion may not converge. Here the author derives a result analogous to the Taylor series expansion for Bloch functions. The author uses extensively one of his previous papers with \textit{St. Ruscheweyh} [Math. Z. 180, 91-105 (1982; Zbl 0482.30023)], where one of the two types of extreme Bloch functions were discussed. The author has given nice examples and posed a good number of open problems that can be worked in this line. He has constructed a method for extreme Bloch functions. Finding new examples or a new method of summation in Bloch functions (as remarked in this paper) may yield new results.