Estimates for partial sums of the exponential series

DOI10.1016/0022-247X(78)90119-1zbMath0385.41023MaRDI QIDQ1249301

Karl K. Norton

Publication date: 1978

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Large deviations (60F10) Inequalities for sums, series and integrals (26D15) Exponential and trigonometric functions (33B10)

Related Items

Unnamed Item ⋮ Remarques sur un théorème de G. Halász et A. Sárközy ⋮ On the number of restricted prime factors of an integer. II ⋮ Large deviations of combinatorial distributions. II: Local limit theorems ⋮ How often is the number of divisors of n a divisor of n ?

Cites Work

• On the number of restricted prime factors of an integer. II
• On the rate of approximation in the central limit theorem
• On the number of restricted prime factors of an integer. I
• Special functions and the limit properties of probability distributions. II
• On large deviations of additive arithmetic functions
• On uniform asymptotic expansion of definite integrals
• Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
• Sur le nombre des diviseurs premiers de n
• Über Wahrscheinlichkeiten großer Abweichungen Dem 25. Jahrestag der DDE gewidmet
• The Coefficients in an Asymptotic Expansion
• A sharpening of the inequality of Berry-Esseen
• On large deviations
• Concerning an Approximation of Copson
• The normal approximation to the Poisson distribution and a proof of a conjecture of Ramanujan
• An Inequality on Poisson Probabilities
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Estimates for partial sums of the exponential series