Einstein Functions
المؤلف:
Sloane, N. J. A
المصدر:
Sequences A118080 in "The On-Line Encyclopedia of Integer Sequences."
الجزء والصفحة:
...
19-7-2019
2121
Einstein Functions
The functions
has an inflection point at
![E_1^()(x)=1/8csch^4(1/2x)[(x^2+2)coshx+2(x^2-2xsinhx-1)]=0,](http://mathworld.wolfram.com/images/equations/EinsteinFunctions/NumberedEquation1.gif) |
(5)
|
which can be solved numerically to give 
(OEIS A118080).
REFERENCES:
Abramowitz, M. and Stegun, I. A. (Eds.). "Debye Functions." §27.1 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 999-1000, 1972.
Sloane, N. J. A. Sequences A118080 in "The On-Line Encyclopedia of Integer Sequences."
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