Asymptotic expansions for the incomplete gamma function in the transition regions
From MaRDI portal
Publication:4629378
DOI10.1090/mcom/3391zbMath1412.33006arXiv1803.07841OpenAlexW2790444024WikidataQ129494630 ScholiaQ129494630MaRDI QIDQ4629378
Gergő Nemes, Adri B. Olde Daalhuis
Publication date: 22 March 2019
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.07841
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)
Related Items (3)
Self-avoiding walk on the complete graph ⋮ Asymptotic expansions for the radii of starlikeness of normalised Bessel functions ⋮ Marcinkiewicz-Zygmund inequalities for polynomials in Fock space
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An explicit formula for the coefficients in Laplace's method
- The asymptotic expansion for \(n!\) and the Lagrange inversion formula
- Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
- Divergent series, summability and resurgence I. Monodromy and resurgence
- On the high-order coefficients in the uniform asymptotic expansion for the incomplete gamma function
- On the resurgence properties of the uniform asymptotic expansion of the incomplete gamma function
- Error bounds for the uniform asymptotic expansion of the incomplete gamma function
- A uniform asymptotic expansion for the incomplete gamma function
- Performance criteria and discrimination of extreme undersmoothing in nonparametric regression
- Incomplete gamma functions for large values of their variables
- Asymptotische Eigenschaften der unvollständigen Gammafunktionen
- The resurgence properties of the incomplete gamma function, I
- Algorithm 955
- A note on the real zeros of the incomplete gamma function
- The Exponentially Convergent Trapezoidal Rule
- Asymptotics of the generalized exponential integral, and error bounds in the uniform asymptotic smoothing of its Stokes discontinuities
- An Asymptotic Expansion for the Upper Percentage Points of the χ 2 -Distribution
- On the Zeros of the Incomplete Gamma Function
- The Resurgence Properties of the Incomplete Gamma Function II
- The Uniform Asymptotic Expansion of a Class of Integrals Related to Cumulative Distribution Functions
- Asymptotic Inversion of Incomplete Gamma Functions
- The Asymptotic Expansion of the Incomplete Gamma Functions
- Computing Budget Allocation for Efficient Ranking and Selection of Variances With Applicationto Target Tracking Algorithms
- An asymptotic formula for the incomplete gamma function
- Exponential integral integral infinity 1 e-xtt -ndt for large values of n
This page was built for publication: Asymptotic expansions for the incomplete gamma function in the transition regions