Some new properties of the Barnes G-function and related results
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Publication:5028843
DOI10.2298/AADM200424056CzbMath1499.33007OpenAlexW3115993915MaRDI QIDQ5028843
Chao-Ping Chen, Hari M. Srivastava
Publication date: 10 February 2022
Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2298/aadm200424056c
Bernoulli numbersgeneralized Bernoulli polynomialsGlaisher-Kinkelin constantcompletely monotonic functionsChoi-Srivastava constantsBarnes \(G\)-functioncontinued-fraction approximation
Gamma, beta and polygamma functions (33B15) Continued fractions (11A55) Monotonic functions, generalizations (26A48)
Related Items (2)
Asymptotic expansions and complete monotonicity properties for the Barnes \(G\)-function ⋮ Asymptotic expansions for the Wallis sequence and some new mathematical constants associated with the Glaisher-Kinkelin and Choi-Srivastava constants
Cites Work
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- 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
- Series involving the zeta function and multiple Gamma functions
- Some mathematical constants
- 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
- Certain classes of series involving the zeta function
- Completely monotonic and related functions
- Certain classes of series associated with the zeta function and multiple gamma 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
- 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 and continued fraction approximations for harmonic numbers
- Asymptotic expansions for certain mathematical constants and special functions
- On Barnes' multiple zeta and gamma functions
- An asymptotic expansion of the double gamma function
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