233 citations · 1.3k across the 48 of their papers we have counts for
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Some double-angle formulas related to a generalized lemniscate function
Shingo Takeuchi
In this paper we will establish some double-angle formulas related to the inverse function of . This function appears in Ramanujan's Notebooks and is rega…
Numerical and analytical analyses of a matrix model with non-pairwise contracted indices
Naoki Sasakura, Shingo Takeuchi
We study a matrix model that has as its dynamical variable, whose lower indices are pairwise contracted, but upper ones are not always do…
Two double-angle formulas of generalized trigonometric functions
Shota Sato, Shingo Takeuchi
With respect to generalized trigonometric functions, since the discovery of double-angle formula for a special case by Edmunds, Gurka and Lang in 2012, no double-angle formulas hav…
Applications of generalized trigonometric functions with two parameters II
Shingo Takeuchi
Generalized trigonometric functions (GTFs) are simple generalization of the classical trigonometric functions. GTFs are deeply related to the -Laplacian, which is known as a typ…
Applications of generalized trigonometric functions with two parameters
Hiroyuki Kobayashi, Shingo Takeuchi
Generalized trigonometric functions (GTFs) are simple generalization of the classical trigonometric functions. GTFs are deeply related to the -Laplacian, which is known as a typ…