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)
Integral equations for special functions of Heun class. (English) Zbl 0883.34029

The authors study integral equations equivalent to boundary problems for the differential equations with regular singular points. A new method of their derivation is proposed which is not as general as the known ones but is efficient in creating integral equations of a certain type.

A number of new integral equations are obtained, some related to the double-confluent Heun equation. Formal calculations at the first stage are followed by several rigorous theorems based on the asymptotic behavior at singularities, and on convergence of integrals depending on a parameter.

MSC:
34B30Special ODE (Mathieu, Hill, Bessel, etc.)
33C99Hypergeometric functions
34A25Analytical theory of ODE (series, transformations, transforms, operational calculus, etc.)