5 citations · 6 across the 7 of their papers we have counts for
7 papers
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.
Another Incarnation of the Lambert W Function
Alexander Kheyfits
The Lambert W function was introduced by Euler in 1779, but was not well-known until it was implemented in Maple, and the seminal paper of Corless, Gonnet, Hare, Jeffrey and Khuth…
The area integral and boundary values of octonion-valued monogenic functions
Alexander Kheyfits
We introduce the Area Integral for octonion-valued monogenic functions in the half-space. It is used to prove the existence of the non-tangential boundary values almost everywhere…
A Remark on Deriving Precise Upper Bounds of the Number of the RNA Secondary Structures
Alexander I. Kheyfits
An elementary, at the undergraduate level derivation is given of precise upper bounds of the number of various RNA secondary structures. The method works when the generating functi…
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…
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
Asymptotic behavior of subfunctions of the stationary Schrodinger operator
Boris Ya. Levin, Alexander I. Kheyfits
Subharmonic functions associated with the stationary Schrodinger operator are its weak subsolutions under appropriate assumptions on the potential of the operator. We prove for the…