Two asymptotic expansions for gamma function developed by Windschitl's formula
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Publication:1738198
DOI10.1515/math-2018-0088zbMath1409.33001arXiv1712.08039OpenAlexW2963575702MaRDI QIDQ1738198
Zhen-Hang Yang, Jing-Feng Tian
Publication date: 29 March 2019
Published in: Open Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.08039
Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)
Related Items (10)
Windschitl type approximation formulas for the gamma function ⋮ Indirect detection of cosmological constant from interacting open quantum system ⋮ A family of Windschitl type approximations for gamma function ⋮ Asymptotic expansions of Gurland's ratio and sharp bounds for their remainders ⋮ Bounds for the perimeter of an ellipse in terms of power means ⋮ Asymptotic expansions for the gamma function in terms of hyperbolic functions ⋮ Extensions and demonstrations of Hölder's inequality ⋮ On Burnside type approximation for the gamma function ⋮ Monotonicity, convexity, and complete monotonicity of two functions related to the gamma function ⋮ Convexity and monotonicity for elliptic integrals of the first kind and applications
Cites Work
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- A more accurate approximation for the gamma function
- Approximations for certain hyperbolic functions by partial sums of their Taylor series and completely monotonic functions related to gamma function
- Asymptotic expansions of the gamma function related to Windschitl's formula
- Some new asymptotic approximations of the gamma function based on Nemes' formula, Ramanujan's formula and Burnside's formula
- Unified treatment of several asymptotic formulas for the gamma function
- Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function
- A generated approximation of the gamma function related to Windschitl's formula
- A refinement of Ramanujan's factorial approximation
- A new Stirling series as continued fraction
- Improved asymptotic formulas for the gamma function
- Remarks on asymptotic expansions for the gamma function
- An accurate approximation formula for gamma function
- Triple diamond-alpha integral and Hölder-type inequalities
- Remarks on some completely monotonic functions
- A new fast asymptotic series for the gamma function
- Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function
- New asymptotic expansion for the gamma function
- Inequalities for the gamma function
- An ultimate extremely accurate formula for approximation of the factorial function
- Monotonicity and inequalities for the gamma function
- Periodic boundary value problems for first-order impulsive difference equations with time delay
- A double inequality for the trigamma function and its applications
- A comparison theorem for two divided differences and applications to special functions
- A note on truncated polynomials
- A continued fraction approximation of the gamma function
- Inequalities and asymptotic expansions for the gamma function
- A new sharp approximation for the gamma function related to Burnside's formula
- A generated approximation related to Burnside's formula
- Asymptotic formulae associated with the Wallis power function and digamma function
- SHARP INEQUALITIES FOR FACTORIAL n
- Decision procedure for indefinite hypergeometric summation
- Monotonicity and sharp inequalities related to gamma function
- Improvements of generalized Hölder's inequalities and their applications
- More accurate approximations for the Gamma function
- Sharp upper and lower bounds for the gamma function
- Asymptotic formulas for the gamma function by Gosper
- On some inequalities for the gamma and psi functions
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