Einstein function

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

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

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

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

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

References

• Abramowitz, Milton; Stegun, Irene Ann, eds. (1983) [June 1964]. "Chapter 27". Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Applied Mathematics Series. Vol. 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. p. 999. ISBN   978-0-486-61272-0. LCCN   64-60036. MR   0167642. LCCN   65-12253.
• 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