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Diagonal Padé approximants and capacity

✍ Scribed by D.S Lubinsky


Book ID
107800699
Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
377 KB
Volume
78
Category
Article
ISSN
0022-247X

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Questions related to the convergence problem of diagonal Pad6 approximants are discussed. A central place is taken by the Pad6 Conjecture (also known as the Baker-Gammel-Wills Conjecture). Partial results concerning this conjecture are reviewed and weaker and more special versions of the conjecture

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Let m be a fixed positive integer. We consider Hermite Pade approximants to the exponential function where the degree of the polynomials A p , 0 p m, is less than n. As n Ä , exact asymptotics for the A p 's and the remainder term R, along with an upper bound on the zeros of the polynomials A p , a