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math.CV2018
Closed-form solution of polynomial equations
Alexander Kheyfits
Integral Cauchy theorem is used to derive closed-form expressions of the roots of a univariate polynomial of any degree as integrals of elementary functions.
math.CV2013
Valiron-Titchmarsh' and Related Theorems for Subharmonic Functions in With Masses on a Half-Line
Alexander I. Kheyfits
The Valiron-Titchmarsh theorem on asymptotic behavior of entire functions with negative zeros is extended to subharmonic functions in . We also show that the…
math.CV2012
A Representation of the Associated Legendre Functions of the First Kind on the Cut as the Mellin Transformation of the Riesz Kernel
Alexander Kheyfits
A Mellin transform representation is derived for the associated Legendre functions of the first kind on the cut