A further correspondence property of fractions

Author:
J. H. McCabe

Journal:
Math. Comp. **32** (1978), 1303-1305

MSC:
Primary 41A20

DOI:
https://doi.org/10.1090/S0025-5718-1978-0481779-6

MathSciNet review:
0481779

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Abstract | References | Similar Articles | Additional Information

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.

**[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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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1978-0481779-6

Keywords:
Continued fractions

Article copyright:
© Copyright 1978
American Mathematical Society