Ramanujan's estimate for the gamma function via monotonicity arguments
From MaRDI portal
Publication:543569
DOI10.1007/S11139-010-9265-YzbMath1217.33003OpenAlexW1990473952MaRDI QIDQ543569
Publication date: 17 June 2011
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-010-9265-y
Gamma, beta and polygamma functions (33B15) Approximation by polynomials (41A10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)
Related Items (20)
A more accurate approximation for the gamma function ⋮ A sharp version of Ramanujan's inequality for the factorial function ⋮ Inequalities and asymptotic expansions associated with the Ramanujan and nemes formulas for the gamma function ⋮ Topics in Special Functions III ⋮ Asymptotic expansions for the psi function and the Euler-Mascheroni constant ⋮ Unified treatment of several asymptotic formulas for the gamma function ⋮ Monotonicity and inequalities for the gamma function ⋮ A new fast asymptotic series for the gamma function ⋮ Sharp inequalities and asymptotic expansions for the gamma function ⋮ Unnamed Item ⋮ A quicker approximation of the gamma function towards the Windschitl's formula by continued fraction ⋮ Monotonicity properties, inequalities and asymptotic expansions associated with the gamma function ⋮ On the asymptotic expansions of the gamma function related to the Nemes, Gosper and Burnside formulas ⋮ Continued fraction approximations and inequalities for the gamma function by Burnside ⋮ Padé approximant related to Ramanujan's formula for the gamma function ⋮ Padé approximant related to asymptotics for the gamma function ⋮ Inequalities and asymptotic expansions for the gamma function ⋮ Shafer-Fink type inequalities for arc lemniscate functions ⋮ Asymptotic expansions for the gamma function ⋮ Asymptotic expansions for the gamma function in terms of hyperbolic functions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The proof of Muqattash-Yahdi conjecture
- Estimating gamma function by digamma function
- Improved convergence towards generalized Euler-Mascheroni constant
- On a conjecture of W. E. Clark and M. E. H. Ismail
- On the complete monotonicity of a Ramanujan sequence connected with \(e^{ n }\)
- Factorial series connected with the Lambert function, and a problem posed by Ramanujan
- Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent
- A class of integral approximations for the factorial function
- An ultimate extremely accurate formula for approximation of the factorial function
- On an asymptotic series of Ramanujan
- New approximations of the gamma function in terms of the digamma function
- Best estimates of the generalized Stirling formula
- Sharp inequalities related to Gosper's formula
- The multiple gamma function and its application to computation of series
- Product Approximations via Asymptotic Integration
- OPTIMIZING THE RATE OF CONVERGENCE IN SOME NEW CLASSES OF SEQUENCES CONVERGENT TO EULER'S CONSTANT
- Very accurate estimates of the polygamma functions
- On some inequalities for the gamma and psi functions
- On the asymptotic representation of the Euler gamma function by Ramanujan
This page was built for publication: Ramanujan's estimate for the gamma function via monotonicity arguments
