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Ken-ichi Sato

Publications (3)

On the Solution of Linear Differential Equations with Polynomial Coecients near the Origin and Infinity

Tohru Morita & Ken-ichi Sato · Journal of Advances in Mathematics and Computer Science · 2018

A linear differential equation with polynomial coefficients is studied. In the preceding study given in J. Adv. Math. Comput. Sci. 2018; 28 (3) 1-15, the equation is expressed in terms of blocks of classified terms, and the full solutions near the origin are presented for the dif...

Open access Research Article 10.9734/JAMCS/2018/45273

Solution of Inhomogeneous Differential Equations with Polynomial Coefficients in Terms of the Green's Function and the AC-Laplace Transform

Tohru Morita & Ken-ichi Sato · Journal of Advances in Mathematics and Computer Science · 2018

The particular solutions of inhomogeneous differential equations with polynomial coefficients in terms of the Green's function are obtained in the framework of the AC-Laplace transform, that is the Laplace transform supplemented by its analytic continuation. In particular, discus...

Open access Research Article 10.9734/JAMCS/2018/43059

A Study on the Solution of Linear Differential Equations with Polynomial Coefficients

Tohru Morita & Ken-ichi Sato · Journal of Advances in Mathematics and Computer Science · 2018

A linear differential equation with polynomial coefficients, which is expressed by    is studied, where ak,m are constants. In the present study, the lefthand side of the equation is rewritten   where   and each of   is called a block of classified terms in Lu(t). The solution is...

Open access Research Article 10.9734/JAMCS/2018/43000