zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
A note on the tau-method approximations for the Bessel functions Y 0 (z) and Y 1 (z). (English) Zbl 0858.65013
This paper completes and improves the previous one by the author and J. A. Belward [Comput. Math. Appl. 30, No. 7, 5-14 (1995; Zbl 0834.65004)] and the one by the author [ibid. 30, No. 7, 15-19 (1995; Zbl 0834.65005)], dealing with the application of a particular version of the Lanczos τ-methods to approximate the Bessel functions Y 0 (z) and Y 1 (z) in the complex plane. That version uses Faber polynomials up to degree 15 as the perturbation terms. The author introduces symbolic representation of the scaled Faber polynomials and the appropriately modified (automated) τ-method. Numerical comparisons, showing the accuracy improvements achieved by this new version of the τ-method, are given and discussed.
65D20Computation of special functions, construction of tables
33C10Bessel and Airy functions, cylinder functions, 0 F 1