233 citations · 1.3k across the 48 of their papers we have counts for
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math.CA2015★ 20 cited
Complete -elliptic integrals with application to a family of means
Toshiki Kamiya, Shingo Takeuchi
The complete elliptic integrals are generalized by using the generalized trigonometric functions with two parameters. It is shown that a particular relation holds for the generaliz…
math.CA2015★ 20 cited
The complete -elliptic integrals and a computation formula of for
Shingo Takeuchi
The complete -elliptic integrals are generalizations of the complete elliptic integrals by the generalized trigonometric function and its half-period . It is show…
hep-th2015★ 20 cited
Bose-Einstein condensation in the Rindler space
Shingo Takeuchi
Based on the Unruh effect, we calculate the critical acceleration for the Bose-Einstein condensation in a free complex scalar field at finite density in the Rindler space. Our mode…