On the Darling-Mandelbrot probability density and the zeros of some incomplete gamma functions

DOI10.1007/BF01205164zbMath0798.33014MaRDI QIDQ1322594

John S. Lew

Publication date: 31 October 1994

Published in: Constructive Approximation (Search for Journal in Brave)

zbMATH Keywords

incomplete gamma functionconfluent hypergeometric functionDarling-Mandelbrot probability density

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Distribution theory (60E99) Other special functions (33E99)

Related Items

Complexity of anticipated rejection algorithms and the Darling-Mandelbrot distribution ⋮ Energy-constrained random walk with boundary replenishment

Cites Work

• On a Function of Ramanujan
• Zero-Free Parabolic Regions for Sequences of Polynomials
• Asymptotic Expansion of Laplace Convolutions for Large Argument and Tail Densities for Certain Sums of Random Variables
• The Confluent Hypergeometric Function
• Asymptotic Inversion of Laplace Transforms: A Class of Counterexamples
• The Influence of the Maximum Term in the Addition of Independent Random Variables
• What is the Laplace Transform?
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