zbMATH — the first resource for mathematics

Examples
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.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
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)
Rational approximations for the modified Bessel function of the second kind. (English) Zbl 0875.65036

MSC:
65D20Computation of special functions, construction of tables
33C10Bessel and Airy functions, cylinder functions, ${}_0F_1$
41A21Padé approximation
WorldCat.org
Full Text: DOI
References:
[1] Magnus, W.; Oberhettinger, F.; Soni, R. P.: Formulas and theorems for the special functions of mathematical physics. (1966) · Zbl 0143.08502
[2] Gautschi, W.: SIAM rev.. 9, 24 (1967)
[3] Luke, Y. L.: Mathematical functions and their approximations. (1975) · Zbl 0318.33001
[4] Wimp, J.: Computation with recurrence relations. (1984) · Zbl 0543.65084
[5] Abramowitz, M.; Stegun, I. A.: Handbook of mathematical functions. (1972) · Zbl 0543.33001
[6] The NAG Library, Numerical Analysis Group, NAG Central Office, Oxford, UK.
[7] Campbell, J. B.: Comput. phys. Commun.. 24, 97 (1981)
[8] Thompson, I. J.; Barnett, A. R.: Comput. phys. Commun.. 47, 245 (1987)
[9] Goldstein, M.; Thaler, R. M.: Math. tables aids comput.. 13, 102 (1959)
[10] Watson, G. N.: A treatise on the theory of bassel functions. (1966) · Zbl 0174.36202
[11] Luke, Y. L.: Math. comput.. 25, 323 (1971)
[12] Kostroun, V. O.: Nucl. instrum. Methods. 172, 371 (1980)
[13] Temme, N. M.: J. comput. Phys.. 19, 324 (1975)
[14] Campbell, J. B.: ACM trans. Math. software. 6, 581 (1980)
[15] Hautot, A.: J. comput. Phys.. 47, 477 (1982)
[16] Borel, E.: Ann. sci. École norm. Sup.. 16, 9 (1899)
[17] Slater, L. J.: Generalized hypergeometric functions. (1966) · Zbl 0135.28101
[18] Buchholz, H.: The confluent hypergeometric function. (1969) · Zbl 0169.08501
[19] Silverstone, H. J.; Nakai, S.; Harris, J. G.: Phys. rev. A. 32, 1341 (1985)
[20] Gailitis, M.; Silverstone, H. J.: Theor. chim. Acta. 73, 105 (1988)
[21] Henrici, P.: Applied and computational complex analysis. (1977) · Zbl 0363.30001
[22] Gradshteyn, I. S.; Ryzhik, I. M.: Table of integrals, series, and products. (1980) · Zbl 0521.33001
[23] Gargantini, I.; Henrici, P.: Math. comput.. 21, 18 (1967)
[24] Borel, E.: Leçons sur LES séries divergentes. (1928)
[25] Perron, O.: Die lehre von den kettenbrüchen. Band II: Analytisch-funktionentheoretische kettenbrüche (1957) · Zbl 0077.06602
[26] Wall, H. S.: Analytic theory of continued fractions. (1973) · Zbl 0269.18010
[27] Jr., G. A. Baker: Essentials of Padé approximants. (1975)
[28] Jr., G. A. Baker; Graves-Morris, P.: Padé approximants. Part I: Basic theory, part II: Extensions and applications. (1981)
[29] Simon, B.: Int. J. Quantum chem.. 21, 3 (1982)
[30] Wynn, P.: Math. tables aids comput.. 10, 91 (1956)
[31] Brezinski, C.: Accélération de la convergence en analyse numérique. (1977)
[32] Brezinski, C.: Algorithmes d’accélération de la convergence - étude numérique. (1978) · Zbl 0396.65001
[33] Wimp, J.: Sequence transformations and their applications. (1981) · Zbl 0566.47018
[34] Delahaye, J. -P.: Sequence transformations. (1988)
[35] Brezinski, C.: J. comput. Appl. math.. 12 & 13, 19 (1985)
[36] Weniger, E. J.: Comput. phys. Rep.. 10, 189 (1989)
[37] Aitken, A. C.: Proc. roy. Soc. Edinburgh. 46, 289 (1926)
[38] Smith, D. A.; Ford, W. F.: SIAM J. Numer. anal.. 16, 223 (1979)
[39] Smith, D. A.; Ford, W. F.: Math. comput.. 38, 481 (1982)
[40] Brezinski, C.: CR acad. Sci. Paris. 273, 727 (1971)
[41] Levin, D.: Int. J. Comput. math. B. 3, 371 (1973)
[42] Sidi, A.: Math. comput.. 33, 315 (1979)
[43] Sidi, A.: Math. comput.. 35, 833 (1980)
[44] Sidi, A.: J. comput. Appl. math.. 7, 37 (1981)
[45] Sidi, A.: SIAM J. Math. anal.. 17, 1222 (1986)
[46] Grotendorst, J.; Steinborn, E. O.: J. chem. Phys.. 84, 5617 (1986)
[47] Weniger, E. J.; Steinborn, E. O.: M.defranceschij.delhalle numerical determination of the electronic structure of atoms, diatomic and polyatomic molecules. Numerical determination of the electronic structure of atoms, diatomic and polyatomic molecules, 341-346 (1989)
[48] Drummond, J. E.: J. phys. A. 14, 1651 (1981)
[49] Brezinski, C.; Lembarki, A.: Appl. numer. Math.. 2, 1 (1986)
[50] Grotendorst, J.: Comput. phys. Commun.. 55, 325 (1989)