DEFINITION of 'Euler's Constant'
The limit of the sum of 1 + 1/2 + 1/3 + 1/4 ... + 1/n, minus the natural log of n as n approaches infinity. Euler's constant is represented by the lower case gamma (γ), and appears in calculus as a derivative of a logarithmic function. It is the difference between a harmonic series and the natural logarithm (log base e).
INVESTOPEDIA EXPLAINS 'Euler's Constant'
Information on Euler's constant was presented by the Swiss mathematician Leonard Euler in the 18th century in his work "De Progressionibus Harmonicus Observationes". Mathematicians are uncertain as to whether it is a rational, transcendental (like pi) or algebraic number. It is not the same as Euler's number, e, nor is it as well known as pi or e.
RELATED TERMS

Generalized AutoRegressive Conditional ...
An econometric term developed in 1982 by Robert F. Engle, an ... 
Generalized AutoRegressive Conditional ...
A statistical model used by financial institutions to estimate ... 
Kurtosis
A statistical measure used to describe the distribution of observed ... 
Volatility
1. A statistical measure of the dispersion of returns for a given ... 
LogNormal Distribution
A statistical distribution of random variables which have a normally ... 
Premium to Surplus Ratio
Net premiums written divided by policyholders’ surplus. The premium ...
Related Articles

Investing Basics
Achieving Optimal Asset Allocation
Minimizing risk while maximizing return is any investor's prime goal. The right mix of securities is the key to achieving your optimal asset allocation. 
Options & Futures
Volatility's Impact On Market Returns
Find out how to adjust your portfolio when the market fluctuates to increase your potential return. 
Mutual Funds & ETFs
Understanding Volatility Measurements
How do you choose a fund with an optimal riskreward combination? We teach you about standard deviation, beta and more! 
Forex Education
Trading With Gaussian Models Of Statistics
The entire study of statistics originated from Gauss and allowed us to understand markets, prices and probabilities, among other applications. 
Technical Indicators
What is the Double Exponential Moving Average (DEMA) formula and how is it calculated?
Discover the equation for double exponential moving average, or DEMA, and learn how it is calculated for a better understanding of how it works. 
Technical Indicators
What is the OnBalance Volume (OBV) formula and how is it calculated?
Read about the formula and calculation for On Balance Volume, or OBV, which is a technical indicator that shows movements in trading volume. 
Trading Strategies
What is the McGinley Dynamic Indicator formula and how is it calculated?
Discover the McGinley dynamic indicator, which is designed to resolve issues based on the subjective placement and static data of moving averages. 
Trading Strategies
What is the Negative Volume Index (NVI) formula and how is it calculated?
Read about the Negative Volume Index, or NVI, a momentum indicator experiencing serious modifications since its introduction in the 1930s. 
Charts & Patterns
What is the Detrended Price Oscillator (DPO) formula and how is it calculated?
See how analysts and traders attempt to estimate the length and depth of current price cycles through the Detrended Price Oscillator. 
Technical Indicators
What is the Dynamic Momentum Index formula and how is it calculated?
See how Tushar Chande and Stanley Kroll changed the basic formula for the relative strength index (RSI) to create the dynamic momentum index.