Einstein function

Short description: Mathematic function

In mathematics, the Einstein function, named after Albert Einstein, is a name occasionally used for one of these functions.

$$\frac{x^2{e}^x}{(e^x-1{)}^2}$$

$$\frac{x}{e^x-1}$$

$$\log (1-e^{-x})$$

$$\frac{x}{e^x-1}-\log (1-e^{-x})$$

References

• Abramowitz, Milton; Stegun, Irene Ann, eds (1983). "Chapter 27". Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Applied Mathematics Series. 55 (Ninth reprint with additional corrections of tenth original printing with corrections (December 1972); first ed.). Washington D.C.; New York: United States Department of Commerce, National Bureau of Standards; Dover Publications. pp. 999. LCCN 65-12253. ISBN 978-0-486-61272-0. http://www.math.sfu.ca/~cbm/aands/page_999.htm. 
• E W Lemmon, R Span, 2006, Short Fundamental Equations of State for 20 Industrial Fluids, J. Chem. Eng. Data 51 (3), 785–850 doi:10.1021/je050186n.
• Wolfram MathWorld: http://mathworld.wolfram.com/EinsteinFunctions.html