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)
Square lattice Ising model susceptibility: connection matrices and singular behaviour of χ (3) and χ (4) . (English) Zbl 1087.82006
In the paper a simple and efficient method to calculate numerically, with an arbitrary number of digits, the connection matrices between the independent solutions, defined at two singular points, of differential equations of quite high orders is introduced. The order 7 and 10 Fuchsian ODEs corresponding to the 3-and 4-particle contribution to the magnetic susceptibility of the Ising model is considered. The entries of the connection matrix between two regular singular points have been obtained in the floating point form and most of them have been recognized, particularly those that show up in the singular behaviour of the physical solutions.
MSC:
82B20Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
34M55Painlevé and other special equations; classification, hierarchies
32G34Moduli and deformations for ordinary differential equations
82B27Critical phenomena (equilibrium statistical mechanics)