Asymptotic expansions and complete monotonicity properties for the Barnes \(G\)-function
DOI10.1216/rmj.2023.53.775zbMath1521.41009OpenAlexW4385079389MaRDI QIDQ6134911
Hari M. Srivastava, Chao-Ping Chen, Xue-Feng Han
Publication date: 23 August 2023
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-53/issue-3/ASYMPTOTIC-EXPANSIONS-AND-COMPLETE-MONOTONICITY-PROPERTIES-FOR-THE-BARNES-G/10.1216/rmj.2023.53.775.full
gamma functionRiemann zeta functionasymptotic expansionsrecursion formulasrecurrence relationscompletely monotonic functionspolygamma functionsBarnes \(G\)-functionBernoulli numbers and Bernoulli polynomials
Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Monotonic functions, generalizations (26A48)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Inequalities and asymptotic expansions for the constants of Landau and Lebesgue
- Asymptotic expansions of the Glaisher-Kinkelin and Choi-Srivastava constants
- Asymptotic formulas for the triple gamma function \(\varGamma _{3}\) by means of its integral representation
- Inequalities associated with Barnes \(G\)-function
- Asymptotic expansions and completely monotonic functions associated with the gamma, psi and polygamma functions
- The remainder in Ruijsenaars' asymptotic expansion of Barnes double gamma function
- Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function
- Spectral functions, special functions and the Selberg zeta function
- Extremals of determinants of Laplacians
- Completely monotonic and related functions
- Unified treatment of several asymptotic expansions concerning some mathematical constants
- Zeta regularized products and functional determinants on spheres
- Asymptotic expansions for Barnes \(G\)-function
- Approximating the constants of Glaisher-Kinkelin type
- Asymptotic expansions related to Glaisher-Kinkelin constant based on the Bell polynomials
- On Ruijsenaars' asymptotic expansion of the logarithm of the double gamma function
- On the remainder in an asymptotic expansion of the double gamma function
- Inequalities for the double gamma function
- The special functions and their approximations. Vol. I, II
- Some properties of functions related to certain classes of completely monotonic functions and logarithmically completely monotonic functions
- Some uniqueness results for the non-trivially complete monotonicity of a class of functions involving the polygamma and related functions
- Some inequalities and monotonicity properties associated with the gamma and psi functions and the BarnesG-function
- Glaisher–Kinkelin constant
- Determinants of Laplacians and Multiple Gamma Functions
- The determinant of the Laplacian on the n-sphere
- Asymptotic expansions of the logarithm of the gamma function in the terms of the polygamma functions
- Some new properties of the Barnes G-function and related results
- Complete monotonicity properties and asymptotic expansions of the logarithm of the gamma function
- On Barnes' multiple zeta and gamma functions
- An asymptotic expansion of the double gamma function
This page was built for publication: Asymptotic expansions and complete monotonicity properties for the Barnes \(G\)-function