Extremal values of multiple gamma and sine functions

DOI10.1016/j.aim.2009.12.019zbMath1190.33022OpenAlexW1984419983MaRDI QIDQ973929

Kazuhiro Onodera

Publication date: 26 May 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2009.12.019

zbMATH Keywords

multiple gamma functionextremal valuesmultiple sine functionStirling modular form

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Other functions defined by series and integrals (33E20)

Related Items (4)

Extension of inverses of entire functions of genus 1 and 2 to the upper half plane ⋮ Absolute zeta functions and absolute automorphic forms ⋮ Some two-sided inequalities for multiple Gamma functions and related results ⋮ Inverses of gamma functions

Cites Work

• Values of the double sine function
• Division values of multiple sine functions
• Weierstrass product representations of multiple gamma and sine functions
• The central value of the triple sine function
• Gamma factors and Plancherel measures
• Central values of generalized multiple sine functions
• Multiple sine functions
• BEHAVIOR OF SOME GENERALIZED MULTIPLE SINE FUNCTIONS
• Sums involving the Hurwitz zeta function
• Unnamed Item

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