Special values of multiple gamma functions par William DUKE
نویسندگان
چکیده
We give a Chowla-Selberg type formula that connects a generalization of the eta-function to GL(n) with multiple gamma functions. We also present some simple infinite product identities for certain special values of the multiple gamma function.
منابع مشابه
Rational series for multiple zeta and log gamma functions
We give series expansions for the Barnes multiple zeta functions in terms of rational functions whose numerators are complex-order Bernoulli polynomials, and whose denominators are linear. We also derive corresponding rational expansions for Dirichlet L-functions and multiple log gamma functions in terms of higher order Bernoulli polynomials. These expansions naturally express many of the well-...
متن کاملA Variation of Multiple L-values Arising from the Spectral Zeta Function of the Non-commutative Harmonic Oscillator
A variation of multiple L-values, which arises from the description of the special values of the spectral zeta function of the non-commutative harmonic oscillator, is introduced. In some special cases, we show that its generating function can be written in terms of the gamma functions. This result enables us to obtain explicit evaluations of them.
متن کاملUniqueness of meromorphic functions dealing with multiple values in an angular domain
This paper uses the Tsuji’s characteristic to investigate the uniqueness of transcen- dental meromorphic function with shared values in an angular domain dealing with the multiple values which improve a result of J. Zheng.
متن کاملP 96: Role of Thrombin in Inflammatory Central Nervous System (CNS) Diseases
Thrombin is a multifunctional enzyme which has key roles in coagulation cascade and inflammatory events. The pro-inflammatory functions of thrombin occur by different mechanisms including increasing mast cell degranulation, up-regulating the expression of cell adhesion molecules (CAMs) and promoting the secretion of inflammatory chemokines and cytokines. Dysregulated signaling functions of thro...
متن کاملAn upper bound to the second Hankel functional for the class of gamma-starlike functions
The objective of this paper is to obtain an upper bound to the second Hankel determinant $|a_{2}a_{4}-a_{3}^{2}|$ for the function $f$, belonging to the class of Gamma-starlike functions, using Toeplitz determinants. The result presented here include two known results as their special cases.
متن کامل