The Gamma Function

By Wolfram Koepf. 2014

402 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b6e1ee677a7569300047b95319a7f9d4abe23545

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Barry Simon

In Applied Mathematics

1. Boumediene Abdellaoui
2. A. Primo
3. María Medina
4. I. Peral
5. Barry Simon
6. Rachid Bentifour
7. David Damanik
8. Doron S. Lubinsky

In Geometry and Topology

1. Boumediene Abdellaoui
2. Barry Simon
3. María Medina
4. I. Peral

Citations in the corpus

• A distributional approach to fractional Sobolev spaces and fractional variation: Existence of blow-up (2018, neutral): “Recall that ωn := |B1| = π n 2 /Γ ( n+2 2 ) and H (∂B1) = nωn, where Γ is Euler’s Gamma function, see [3].”
• Basic Complex Analysis: A Comprehensive Course in Analysis, Part 2A (2015, methodology): “72) For extensive discussions of the gamma function, see the charming books of Artin [23] and Havil [245], the first chapter of Andrews–Askey–Roy [15], and Davis’ historical note [132].”
• Optimal results for the fractional heat equation involving the Hardy potential (2014, background): “Let consider the following representation of the Gamma function (see [7] for more details): 1 Γ(x) = xe ∞ ∏”
• Unmanned Aerial Vehicle With Underlaid Device-to-Device Communications: Performance and Tradeoffs (2015, neutral): “0 xt−1e−x dx is the gamma function [26].”