The intertwined study of orthogonal polynomials and Painlevé equations continues to be a fertile area of research at the confluence of mathematical analysis and theoretical physics. Orthogonal ...
New research details an intriguing new way to solve "unsolvable" algebra problems that go beyond the fourth degree – something that has generally been deemed impossible using traditional methods for ...
We find specific information about the possible orders of transcendental solutions of equations of the form f(n)+pn-1(z)f(n-1)+⋯ +p0(z)f=0 where p0(z), p1(z),...,pn ...
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