233 citations · 1.3k across the 48 of their papers we have counts for
49 papers
Applications of a duality between generalized trigonometric and hyperbolic functions II
Hiroki Miyakawa, Shingo Takeuchi
Generalized trigonometric functions and generalized hyperbolic functions can be converted to each other by the duality formulas previously discovered by the authors. In this paper,…
Josephson junction formed in the wormhole space time from the analysis for the critical temperature of Bose-Einstein condensate
Shingo Takeuchi
In this study, considering some gas in the Morris-Thorne traversable wormhole space time, we analyze the critical temperature of the Bose-Einstein condensate in the vicinity of its…
Hawking flux of 4D Schwarzschild black hole with supertransition correction to second-order
Shingo Takeuchi
Former part of this article is the proceedings for my talk on 2004.07474, which is a report on the issue in the title of this article. Later part is the detailed description of 200…
A 4D asymptotically flat rotating black hole solution including supertraslation correction
Shingo Takeuchi
In this study, beginning with the 4D asymptotically flat Kerr black hole solution in the Boyer-Lindquist (BL) coordinate system, then by using the technique of frame-dragging and s…
Applications of a duality between generalized trigonometric and hyperbolic functions
Hiroki Miyakawa, Shingo Takeuchi
It is shown that generalized trigonometric functions and generalized hyperbolic functions can be transformed from each other. As an application of this transformation, a number of…
Lyapunov-type inequalities for a Sturm-Liouville problem of the one-dimensional -Laplacian
Shingo Takeuchi, Kohtaro Watanabe
This article considers the eigenvalue problem for the Sturm-Liouville problem including -Laplacian \begin{align*} \begin{cases} \left(\vert u'\vert^{p-2}u'\right)'+\left(λ+r(x)\…