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)
Algorithm for the computation of Bessel function integrals. (English) Zbl 0542.65009
The authors give a FORTRAN program for the computation of integrals of the form $\int\sp{c}\sb{0}f(x)J\sb{\nu}(\alpha x)dx$, where $\nu =0,1,...,10$. The method is due to a Chebyshev expansion of the integrand f(x).
Reviewer: S.Hitotumatu

65D20Computation of special functions, construction of tables
65R10Integral transforms (numerical methods)
33C10Bessel and Airy functions, cylinder functions, ${}_0F_1$
44A20Integral transforms of special functions
Full Text: DOI
[1] De Boor, C.: FFT as nested multiplication, with a twist. SIAM J. Sci. statist. Comput. 1 (1980) · Zbl 0459.65098
[2] Dongarra, J. J.; Bunch, J. R.; Moler, C. B.; Stewart, G. W.: LINPACK user’s guide. (1979) · Zbl 0476.68025
[3] Piessens, R.; Branders, M.: Modified clenshaw-curtis method for the computation of Bessel function integrals. Bit 23, 370-381 (1983) · Zbl 0514.65008
[4] Stoer, J.: Einführung in die numerische Mathematik. 1 (1972) · Zbl 0245.65001