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The Asymptotic Expansion of the Incomplete Gamma Functions

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inferredcites →https://doi.org/10.1016/b978-0-12-064850-4.50006-9openalex-snapshot
Unsolved Problems in the Asymptotic Estimation of Special Functions
inferredcites →https://doi.org/10.1090/s0025-5718-1968-0237078-4openalex-snapshot
Concerning Two Series for the Gamma Function
inferredcites →https://doi.org/10.1090/s0025-5718-1975-0387674-2openalex-snapshot
Uniform Asymptotic Expansions of the Incomplete Gamma Functions and the Incomplete Beta Function

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inferred← citeshttps://doi.org/10.2139/ssrn.894866openalex-extracted
Middlemen: The Visible Market Makers
inferred← citeshttps://doi.org/10.1002/9781118032572.biblioopenalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1002/nav.21784openalex-snapshot
Damage accumulation and probability of kill for gun and target engagements
inferred← citeshttps://doi.org/10.1006/jnth.1997.2216openalex-snapshot
Sur la répartition des valeurs des fonctions arithmétiques. Le nombre de facteurs premiers d'un entier
inferred← citeshttps://doi.org/10.1007/3-540-44839-x_83openalex-snapshot
Computing the Incomplete Gamma Function to Arbitrary Precision
inferred← citeshttps://doi.org/10.1007/978-1-4684-7415-2_33openalex-snapshot
The Generalized Exponential Integral
inferred← citeshttps://doi.org/10.1007/978-1-4899-3793-3_2openalex-snapshot
I
inferred← citeshttps://doi.org/10.1007/978-3-642-10625-5_36openalex-snapshot
Cooperative Training in Wireless Sensor and Actor Networks
inferred← citeshttps://doi.org/10.1007/978-94-009-5988-0_1openalex-snapshot
I
inferred← citeshttps://doi.org/10.1007/jhep01(2025)066openalex-snapshot
On-shell approach to black hole mergers
inferred← citeshttps://doi.org/10.1007/s00041-016-9504-8openalex-snapshot
Density Theorems for Nonuniform Sampling of Bandlimited Functions Using Derivatives or Bunched Measurements
inferred← citeshttps://doi.org/10.1007/s00211-006-0026-1openalex-snapshot
A stable recurrence for the incomplete gamma function with imaginary second argument
inferred← citeshttps://doi.org/10.1007/s00220-018-3201-1openalex-snapshot
Universality at Weak and Strong Non-Hermiticity Beyond the Elliptic Ginibre Ensemble
inferred← citeshttps://doi.org/10.1007/s00222-005-0488-2openalex-snapshot
Minima of Epstein’s Zeta function and heights of flat tori
inferred← citeshttps://doi.org/10.1007/s00365-013-9202-6openalex-snapshot
An Explicit Formula for the Coefficients in Laplace’s Method
inferred← citeshttps://doi.org/10.1007/s10444-018-9604-xopenalex-snapshot
An algorithm for the evaluation of the incomplete gamma function
inferred← citeshttps://doi.org/10.1007/s10955-026-03600-7openalex-snapshot
A First Passage Problem for a Poisson Counting Process with a Linear Moving Boundary
inferred← citeshttps://doi.org/10.1007/s10959-020-01037-6openalex-snapshot
Limiting Spectral Radii of Circular Unitary Matrices Under Light Truncation
inferred← citeshttps://doi.org/10.1007/s11009-018-9683-7openalex-snapshot
The Single Server Queue with Mixing Dependencies
inferred← citeshttps://doi.org/10.1007/s11242-010-9651-3openalex-snapshot
A Statistical Representation of the Matrix–Fracture Transfer Function for Porous Media
inferred← citeshttps://doi.org/10.1016/0377-0427(90)90038-2openalex-snapshot
Uniform asymptotic approximation of Fermi—Dirac integrals
inferred← citeshttps://doi.org/10.1016/0377-0427(95)00127-1openalex-snapshot
Uniform asymptotic expansions of integrals: a selection of problems
inferred← citeshttps://doi.org/10.1016/b978-0-12-762535-5.50014-3openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1016/j.aam.2004.08.001openalex-snapshot
Incomplete gamma functions for large values of their variables
inferred← citeshttps://doi.org/10.1016/j.cam.2004.11.051openalex-snapshot
Uniform asymptotic approximations for incomplete Riemann Zeta functions
inferred← citeshttps://doi.org/10.1016/j.cam.2008.01.014openalex-snapshot
The asymptotics of a new exponential sum
inferred← citeshttps://doi.org/10.1016/j.ecosta.2017.07.006openalex-snapshot
Nonparametric estimation and testing on discontinuity of positive supported densities: a kernel truncation approach
inferred← citeshttps://doi.org/10.1016/j.jfa.2024.110476openalex-snapshot
On the asymptotics of matrix coefficients of representations of SL(2,R)
inferred← citeshttps://doi.org/10.1016/j.jmaa.2008.07.070openalex-snapshot
A monotonicity property of the composition of regularized and inverted-regularized gamma functions with applications
inferred← citeshttps://doi.org/10.1016/j.jmaa.2026.130493openalex-snapshot
Uniform asymptotic expansions for generalised trigonometric integrals and their zeros
inferred← citeshttps://doi.org/10.1016/j.jnt.2018.02.006openalex-snapshot
Zeros of newform Eisenstein series on Γ0(N)
inferred← citeshttps://doi.org/10.1016/j.jspi.2014.05.006openalex-snapshot
Performance criteria and discrimination of extreme undersmoothing in nonparametric regression
inferred← citeshttps://doi.org/10.1016/j.mcm.2010.03.013openalex-snapshot
New approximation formulas for evaluating the ratio of gamma functions
inferred← citeshttps://doi.org/10.1016/j.spl.2011.05.013openalex-snapshot
A uniform asymptotic expansion for weighted sums of exponentials
inferred← citeshttps://doi.org/10.1016/s0377-0427(01)00460-5openalex-snapshot
Limit distribution for the maximum degree of a random recursive tree
inferred← citeshttps://doi.org/10.1016/s0377-0427(02)00434-xopenalex-snapshot
Error bounds for the uniform asymptotic expansion of the incomplete gamma function
inferred← citeshttps://doi.org/10.1016/s0377-0427(02)00553-8openalex-snapshot
A uniform asymptotic expansion for the incomplete gamma function
inferred← citeshttps://doi.org/10.1016/s0377-0427(02)00809-9openalex-snapshot
The asymptotic expansion of a generalised incomplete gamma function
inferred← citeshttps://doi.org/10.1016/s0377-0427(97)00026-5openalex-snapshot
Error analysis in a uniform asymptotic expansion for the generalised exponential integral
inferred← citeshttps://doi.org/10.1017/s0269964800003417openalex-snapshot
A Set of Algorithms for the Incomplete Gamma Functions
inferred← citeshttps://doi.org/10.1063/1.530666openalex-snapshot
Asymptotics for the Kummer function of Bose plasmas
inferred← citeshttps://doi.org/10.1080/00036819708840580openalex-snapshot
Asymptotic expansions for generalized gamma and incomplete gamma functions
inferred← citeshttps://doi.org/10.1080/01966324.2024.2430177openalex-snapshot
Polylogarithmic Properties of a Modified Discrete Gamma Distribution
inferred← citeshttps://doi.org/10.1088/1361-648x/aa942bopenalex-snapshot
Onsager’s missing steps retraced
inferred← citeshttps://doi.org/10.1088/1742-5468/ab3da3openalex-snapshot
The length of self-avoiding walks on the complete graph
inferred← citeshttps://doi.org/10.1090/mcom/3391openalex-snapshot
Asymptotic expansions for the incomplete gamma function in the transition regions
inferred← citeshttps://doi.org/10.1090/s0025-5718-1982-0658222-8openalex-snapshot
Evaluation of the integral ∫₀^{𝑝}𝑢ⁿ𝑒^{-𝑢²}(𝑢+𝑥)⁻¹𝑑𝑢
inferred← citeshttps://doi.org/10.1090/s0025-5718-1992-1122079-8openalex-snapshot
Asymptotic inversion of incomplete gamma functions
inferred← citeshttps://doi.org/10.1098/rspa.1996.0068openalex-snapshot
Asymptotic solutions of second-order linear differential equations having almost coalescent turning points, with an application to the incomplete gamma function
inferred← citeshttps://doi.org/10.1098/rspa.1996.0069openalex-snapshot
Asymptotics of the generalized exponential integral, and error bounds in the uniform asymptotic smoothing of its Stokes discontinuities
inferred← citeshttps://doi.org/10.1098/rspa.2007.1888openalex-snapshot
On the Riemann–Siegel formula
inferred← citeshttps://doi.org/10.1109/ccnc49032.2021.9369502openalex-snapshot
Performance Analysis of Massive MIMO Assisted Semi-Grant-Free Random Access
inferred← citeshttps://doi.org/10.1109/infocom.2008.266openalex-snapshot
Limit Theorems for Degree of Coverage and Lifetime in Large Sensor Networks
inferred← citeshttps://doi.org/10.1109/jsac.2010.100612openalex-snapshot
Cooperative training for high density sensor and actor networks
inferred← citeshttps://doi.org/10.1109/tac.2003.821428openalex-snapshot
Computing Budget Allocation for Efficient Ranking and Selection of Variances With Applicationto Target Tracking Algorithms
inferred← citeshttps://doi.org/10.1109/tcomm.2017.2722500openalex-snapshot
Downlink Coverage Analysis for a Finite 3D Wireless Network of Unmanned Aerial Vehicles
inferred← citeshttps://doi.org/10.1109/tcomm.2018.2866559openalex-snapshot
Grant-Free Massive MTC-Enabled Massive MIMO: A Compressive Sensing Approach
inferred← citeshttps://doi.org/10.1109/tit.2024.3473770openalex-snapshot
Minimax Signal Detection in Sparse Additive Models
inferred← citeshttps://doi.org/10.1109/tmc.2004.23openalex-snapshot
Extremal properties of three-dimensional sensor networks with applications
inferred← citeshttps://doi.org/10.1111/1467-9590.00065openalex-snapshot
Asymptotic Estimates of Elementary Probability Distributions
inferred← citeshttps://doi.org/10.1111/sapm.70008openalex-snapshot
Smoothing of the Higher‐Order Stokes Phenomenon
inferred← citeshttps://doi.org/10.1112/s0025579317000110openalex-snapshot
ZEROS OF CERTAIN COMBINATIONS OF EISENSTEIN SERIES
inferred← citeshttps://doi.org/10.1137/0513017openalex-snapshot
The Uniform Asymptotic Expansion of a Class of Integrals Related to Cumulative Distribution Functions
inferred← citeshttps://doi.org/10.1137/080722795openalex-snapshot
Asymptotic Inversion of the Erlang B Formula
inferred← citeshttps://doi.org/10.1137/1022086openalex-snapshot
Error Bounds for Asymptotic Expansions of Integrals
inferred← citeshttps://doi.org/10.1137/120872553openalex-snapshot
Efficient and Accurate Algorithms for the Computation and Inversion of the Incomplete Gamma Function Ratios
inferred← citeshttps://doi.org/10.1142/s0219530517500099openalex-snapshot
Convergent expansions of the incomplete gamma functions in terms of elementary functions
inferred← citeshttps://doi.org/10.1142/s2010326325500121openalex-snapshot
Determinantal structure of the overlaps for induced spherical unitary ensemble
inferred← citeshttps://doi.org/10.1145/22721.23109openalex-snapshot
Computation of the incomplete gamma function ratios and their inverse
inferred← citeshttps://doi.org/10.1145/2699466openalex-snapshot
Algorithm 955
inferred← citeshttps://doi.org/10.1214/19-aop1396openalex-snapshot
Random matrix products: Universality and least singular values
inferred← citeshttps://doi.org/10.1239/aap/1208358889openalex-snapshot
Gaussian expansions and bounds for the Poisson distribution applied to the Erlang B formula
inferred← citeshttps://doi.org/10.17877/de290r-17215openalex-snapshot
Nonparametric Estimation and Testing on Discontinuity of Positive Supported Densities: A Kernel Truncation Approach
inferred← citeshttps://doi.org/10.18610/jg3.2018.071605openalex-snapshot
Efficient Computation of Generalized Bessel Function Distributions
inferred← citeshttps://doi.org/10.18610/jg3.2021.071602openalex-snapshot
Efficient Computation of the Generalized Parabolic Cylinder Function Distribution
inferred← citeshttps://doi.org/10.2307/1428186openalex-snapshot
The quasi-stationary distribution of the closed endemic sis model
inferred← citeshttps://doi.org/10.3842/sigma.2023.033openalex-snapshot
Spherical Induced Ensembles with Symplectic Symmetry
inferred← citeshttps://doi.org/10.4171/zaa/261openalex-snapshot
Über das asymptotische Verhalten des Fermi–Dirac-Integrals
inferred← citeshttps://doi.org/10.4171/zaa/408openalex-snapshot
Asymptotische Entwicklungen der konfluenten hypergeometrischen Funktionen $U(a, b, z)$ und $M (a, b, z)$ für große Werte von $b$ und $z$
inferred← citeshttps://doi.org/10.4171/zaa/57openalex-snapshot
Gleichmässige asymptotische Entwicklungen für Parameterintegrale mit zwei reellen Parametern
inferred← citeshttps://doi.org/10.4310/maa.1994.v1.n2.a1openalex-snapshot
On the effective block size in Harper’s theorem
inferred← citeshttps://doi.org/10.4310/maa.1998.v5.n3.a1openalex-snapshot
On the high-order coefficients in the uniform asymptotic expansion for the incomplete gamma function
inferred← citeshttps://doi.org/10.4310/maa.1998.v5.n4.a7openalex-snapshot
On the resurgence properties of the uniform asymptotic expansion of the incomplete gamma function
inferred← citeshttps://doi.org/10.48550/arxiv.1611.00548openalex-snapshot
A uniform asymptotic expansion for the incomplete gamma functions revisited
inferred← citeshttps://doi.org/10.48550/arxiv.cs/0411027openalex-snapshot
Extremal Properties of Three Dimensional Sensor Networks with Applications
inferred← citeshttps://doi.org/10.7153/mia-2017-20-71openalex-snapshot
Sharp Gautschi inequality for parameter 0<p<1 with applications
inferred← citeshttps://doi.org/10.7153/mia-2020-23-95openalex-snapshot
Exact lower and upper bounds on the incomplete gamma function
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