Double Integral
المؤلف:
Borwein, J.; Bailey, D.; and Girgensohn, R.
المصدر:
Experimentation in Mathematics: Computational Paths to Discovery. Wellesley, MA: A K Peters, 2004.
الجزء والصفحة:
...
20-8-2018
3405
Double Integral
A double integral is a two-fold multiple integral.
Examples of definite double integrals evaluating to simple constants include
where 
is Catalan's constant (Borwein et al. 2004, pp. 48-49), and
 |
(5)
|
where 
is the Euler-Mascheroni constant (Sondow 2003, 2005; Borwein et al. 2004, pp. 48-49).
REFERENCES:
Borwein, J.; Bailey, D.; and Girgensohn, R. Experimentation in Mathematics: Computational Paths to Discovery. Wellesley, MA: A K Peters, 2004.
Sondow, J. "Criteria for Irrationality of Euler's Constant." Proc. Amer. Math. Soc. 131, 3335-3344, 2003. http://arxiv.org/abs/math.NT/0209070.
Sondow, J. "Double Integrals for Euler's Constant and 
and an Analog of Hadjicostas's Formula." Amer. Math. Monthly112, 61-65, 2005.
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