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A further correspondence property of $ M$ fractions

Author: J. H. McCabe
Journal: Math. Comp. 32 (1978), 1303-1305
MSC: Primary 41A20
MathSciNet review: 0481779
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Abstract: It is shown that when all the coefficients, after the first, of one of the two corresponding series of an M fraction are zero then the M fraction has a symmetrical form.

References [Enhancements On Off] (What's this?)

  • [1] J. H. McCABE, "A continued fraction expansion, with a truncation error estimate, for Dawson's integral," Math. Comp., v. 28, 1974, pp. 811-816. MR 51 #7243. MR 0371020 (51:7243)
  • [2] J. H. McCABE, "A formal extension of the Padé table to include two point Padé quotients," J. Inst. Math. Appl., v. 15, 1975, pp. 363-372. MR 52 #2143. MR 0381246 (52:2143)
  • [3] J. H. McCABE & J. A. MURPHY, "Continued fractions which correspond to power series expansions at two points," J. Inst. Math. Appl., v. 17, 1976, pp. 233-247. MR 0422628 (54:10614)
  • [4] D. DIJKSTRA, "A continued fraction expansion for a generalization of Dawson's integral," Math. Comp., v. 31, 1977, pp. 503-510. MR 0460956 (57:945)
  • [5] W. B. JONES, Multiple Point Padé Tables, Proc. Conf. Rational Approximation with Emphasis on Padé Approximants (Univ. of South Florida, December 1976). (To appear.) MR 0613840 (58:29629)

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Keywords: Continued fractions
Article copyright: © Copyright 1978 American Mathematical Society

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