Padé approximation and orthogonal polynomials
1974 ◽
Vol 10
(2)
◽
pp. 263-270
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Keyword(s):
The Past
◽
By using a variational method, we study the structure of the Padé table for a formal power series. For series of Stieltjes, this method is employed to study the relations of the Padé approximants with orthogonal polynomials and gaussian quadrature formulas. Hence, we can study convergence, precise locations of poles and zeros, monotonicity, and so on, of these approximants. Our methods have nothing to do with determinant theory and the theory of continued fractions which were used extensively in the past.
2012 ◽
Vol 33
(5)
◽
pp. 751-766
2007 ◽
Vol 27
(1)
◽
pp. 79-94
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2005 ◽
Vol 18
(1-2)
◽
pp. 205-228
1973 ◽
Vol 7
(3)
◽
pp. 405-408
◽
1999 ◽
Vol 98
(1)
◽
pp. 183-195
◽
1982 ◽
Vol 19
(5)
◽
pp. 1081-1089
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Keyword(s):