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
On the diagonal Padé approximants of meromorphic functions
✍ Scribed by D.S Lubinsky
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 720 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0019-3577
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analytic in a neighborhood of infinity will be approximated by Pade approximants. In a first group of results rather strong assumptions are made about the singularities of the function f to be approximated (Assumption 1.1). In a second group (Definition 1.3 and Theorem 1.7) a different type of assum
A generalization of tho Pad6 approximaot tcchniquc obtained by inner projections leads to npproximate Green functions whose spoctmi densities satisfy :I certain number of frequency moments. This approsch contains decoupling schemes previously given and their explicit rcprosentation in terms of the m