Title of article :
Zeros of Padé Error Functions for Functions with Smooth Maclaurin Coefficients Original Research Article
Author/Authors :
R.K. Kovacheva، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 1995
Pages :
21
From page :
371
To page :
391
Abstract :
We deal with functions f(z) ≔ Σ∞n = 0anzn whose coefficients satisfy Lubinsky′s smoothness condition, namely, aj + 1· aj − 1/a2j → η as j → ∞, η ≠ ∞. In the present paper, theorems concerning the asymptotic behaviour of the normalized (in an appropriate way) Padé error functions (f − πn,m) as n → ∞, m-fixed, are provided. As a consequence, results concerning the number of the zeros and of their limiting distribution are deduced.
Journal title :
Journal of Approximation Theory
Serial Year :
1995
Journal title :
Journal of Approximation Theory
Record number :
851349
Link To Document :
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