scholarly journals An exact power series representation of the Baker–Campbell–Hausdorff formula

2020 ◽  
Vol 54 (1) ◽  
pp. 015208
Author(s):  
Jordan C Moodie ◽  
M W Long
Keyword(s):  
Power Series ◽  
Series Representation ◽  
Exact Power ◽  
Power Series Representation

scholarly journals A radius of convexity problem

1981 ◽  
Vol 24 (3) ◽  
pp. 381-388 ◽  
Author(s):  
M.L. Mogra ◽  
O.P. Juneja
Keyword(s):  
Power Series ◽  
Unit Disc ◽  
Series Representation ◽  
Radius Of Convexity ◽  
Power Series Representation

The authors determine the sharp radius of convexity for functions analytic and starlike in the unit disc having power series representation of the form where an+1 is fixed. The estimate obtained is an improvement over the corresponding fixed second coefficient result. It is expected that this approach will lead to sharpening and improvement of a number of earlier known results.

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