Editing Euler's constant (section)

===Analysis===

* The Weierstrass product formula for the [[gamma function]] and the [[Barnes G-function]].<ref name="Davis">{{cite journal |last=Davis |first=P. J. |date=1959 |title=Leonhard Euler's Integral: A Historical Profile of the Gamma Function |url=http://mathdl.maa.org/mathDL/22/?pa=content&sa=viewDocument&nodeId=3104 |url-status=dead |journal=[[American Mathematical Monthly]] |volume=66 |issue=10 |pages=849–869 |doi=10.2307/2309786 |jstor=2309786 |archive-url=https://web.archive.org/web/20121107190256/http://mathdl.maa.org/mathDL/22/?pa=content&sa=viewDocument&nodeId=3104 |archive-date=7 November 2012 |access-date=3 December 2016}}</ref><ref>{{Cite web |title=DLMF: §5.17 Barnes' 𝐺-Function (Double Gamma Function) ‣ Properties ‣ Chapter 5 Gamma Function |url=https://dlmf.nist.gov/5.17 |access-date=2024-11-01 |website=dlmf.nist.gov}}</ref>
* The [[Particular values of the gamma function#General rational argument|asymptotic expansion]] of the gamma function, <math>\Gamma(1/x)\sim x-\gamma</math>.
* Evaluations of the [[digamma function]] at rational values.<ref>{{Cite web |last=Weisstein |first=Eric W. |title=Digamma Function |url=https://mathworld.wolfram.com/DigammaFunction.html |access-date=2024-10-30 |website=mathworld.wolfram.com |language=en}}</ref>
* The [[Laurent series]] expansion for the [[Riemann zeta function]]*, where it is the first of the [[Stieltjes constants]].<ref>{{Cite web |last=Weisstein |first=Eric W. |title=Stieltjes Constants |url=https://mathworld.wolfram.com/StieltjesConstants.html |access-date=2024-11-01 |website=mathworld.wolfram.com |language=en}}</ref>
* Values of the [[Particular values of the Riemann zeta function#Derivatives|derivative of the Riemann zeta function]] and [[Dirichlet beta function#Derivative|Dirichlet beta function]].<ref name=":7" />{{rp|137}}<ref name=":1" />
* In connection to the [[Laplace transform|Laplace]] and [[Mellin transform]].<ref>{{Cite book |last=Williams |first=John |title=Laplace transforms |date=1973 |publisher=Allen & Unwin |isbn=978-0-04-512021-5 |series=Problem solvers |location=London}}</ref><ref>{{Cite web |title=DLMF: §2.5 Mellin Transform Methods ‣ Areas ‣ Chapter 2 Asymptotic Approximations |url=https://dlmf.nist.gov/2.5 |access-date=2024-11-01 |website=dlmf.nist.gov}}</ref>
* In the regularization/[[renormalization]] of the [[harmonic series (mathematics)|harmonic series]] as a finite value.
*Expressions involving the [[exponential integral|exponential]] and [[Logarithmic integral function|logarithmic integral]].*<ref name=":8">{{Cite web |title=DLMF: §6.6 Power Series ‣ Properties ‣ Chapter 6 Exponential, Logarithmic, Sine, and Cosine Integrals |url=https://dlmf.nist.gov/6.6 |access-date=2024-11-01 |website=dlmf.nist.gov}}</ref><ref>{{Cite web |last=Weisstein |first=Eric W. |title=Logarithmic Integral |url=https://mathworld.wolfram.com/LogarithmicIntegral.html |access-date=2024-11-01 |website=mathworld.wolfram.com |language=en}}</ref>
* A definition of the [[trigonometric integral#Cosine integral|cosine integral]].*<ref name=":8" />
* In relation to [[Bessel function|Bessel functions]].<ref>{{Cite web |title=DLMF: §10.32 Integral Representations ‣ Modified Bessel Functions ‣ Chapter 10 Bessel Functions |url=https://dlmf.nist.gov/10.32 |access-date=2024-11-01 |website=dlmf.nist.gov}}</ref><ref>{{Cite web |title=DLMF: §10.22 Integrals ‣ Bessel and Hankel Functions ‣ Chapter 10 Bessel Functions |url=https://dlmf.nist.gov/10.22 |access-date=2024-11-01 |website=dlmf.nist.gov}}</ref><ref>{{Cite web |title=DLMF: §10.8 Power Series ‣ Bessel Functions and Hankel Functions ‣ Chapter 10 Bessel Functions |url=https://dlmf.nist.gov/10.8 |access-date=2024-11-01 |website=dlmf.nist.gov}}</ref><ref>{{Cite web |title=DLMF: §10.24 Functions of Imaginary Order ‣ Bessel and Hankel Functions ‣ Chapter 10 Bessel Functions |url=https://dlmf.nist.gov/10.24 |access-date=2024-11-01 |website=dlmf.nist.gov}}</ref>
* Asymptotic expansions of modified [[Struve function|Struve functions]].<ref>{{Cite web |title=DLMF: §11.6 Asymptotic Expansions ‣ Struve and Modified Struve Functions ‣ Chapter 11 Struve and Related Functions |url=https://dlmf.nist.gov/11.6 |access-date=2024-11-01 |website=dlmf.nist.gov}}</ref>
* In relation to other [[special functions]].<ref>{{Cite web |title=DLMF: §13.2 Definitions and Basic Properties ‣ Kummer Functions ‣ Chapter 11 Confluent Hypergeometric Functions |url=https://dlmf.nist.gov/13.2 |access-date=2024-11-01 |website=dlmf.nist.gov}}</ref><ref>{{Cite web |title=DLMF: §9.12 Scorer Functions ‣ Related Functions ‣ Chapter 9 Airy and Related Functions |url=https://dlmf.nist.gov/9.12 |access-date=2024-11-01 |website=dlmf.nist.gov}}</ref>