scholarly journals Transcendence of special values of log double sine function

2014 ◽  
Vol 90 (9) ◽  
pp. 133-134
Author(s):  
Hidekazu Tanaka
Keyword(s):  
Sine Function ◽  
Special Values ◽  
Double Sine Function

scholarly journals QUANTUM DEFORMATIONS OF CATALAN’S CONSTANT, MAHLER’S MEASURE AND THE HÖLDER–SHINTANI DOUBLE SINE FUNCTION

2006 ◽  
Vol 49 (3) ◽  
pp. 667-681 ◽  
Author(s):  
Nobushige Kurokawa
Keyword(s):  
Sine Function ◽  
Quantum Deformations ◽  
Catalan’S Constant ◽  
Double Sine Function

AbstractWe study quantum deformations of Catalan’s constant, Mahler’s measure and the double sine function. We establish quantum deformations of basic relations between these three objects.

scholarly journals Values of the double sine function

2007 ◽  
Vol 123 (1) ◽  
pp. 204-223 ◽  
Author(s):  
Shin-ya Koyama ◽  
Nobushige Kurokawa
Keyword(s):  
Sine Function ◽  
Double Sine Function

BEHAVIOR OF SOME GENERALIZED MULTIPLE SINE FUNCTIONS

2008 ◽  
Vol 04 (05) ◽  
pp. 775-796 ◽  
Author(s):  
KAZUHIRO ONODERA
Keyword(s):  
Fundamental Domain ◽  
Sine Function ◽  
Special Values ◽  
Extremal Values ◽  
Sine Functions ◽  
General Period

Our aim is to investigate the behavior of generalized multiple sine functions with general period parameters in the fundamental domain. For that, we need to calculate the number of their extremal values. By estimating their special values, we determine it in some cases including the quintuple sine function. As a consequence, we sketch their graphs.

scholarly journals On Coefficient Problems for Functions Connected with the Sine Function

Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1179
Author(s):  
Katarzyna Tra̧bka-Wiȩcław
Keyword(s):  
Analytic Functions ◽  
Sine Function ◽  
Hankel Determinant ◽  
Coefficient Problems ◽  
Logarithmic Coefficients ◽  
Symmetric Points

In this paper, some coefficient problems for starlike analytic functions with respect to symmetric points are considered. Bounds of several coefficient functionals for functions belonging to this class are provided. The main aim of this paper is to find estimates for the following: coefficients, logarithmic coefficients, some cases of the generalized Zalcman coefficient functional, and some cases of the Hankel determinant.

Special Values of L-Series

1992 ◽  
Vol 114 (2) ◽  
pp. 337 ◽  
Author(s):  
Rhonda L. Hatcher
Keyword(s):  
Special Values
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