Mhenni Benghorbal and 
Robert M. CorlessAuthors Info & ClaimsWe give a complete solution to the problem of finding the $n$thderivative and the $n$th anti-derivative, where $n$ is a real number or a symbol,of elementary and special classes of functions. In general, the solutions are given through unified formulas ...
In this paper we analyze the Stieltjes functions defined by the Szego inverse transformation of a nontrivial probability measure supported on the unit circle such that the corresponding sequence of orthogonal polynomials is defined by either backward or ...
For a wide class of Sobolev orthogonal polynomials, it is proved that their zeros are contained in a compact subset of the complex plane and the asymptotic zero distribution is obtained. With this information, the nth root asymptotic behavior outside ...
Association for Computing Machinery
New York, NY, United States
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