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)
Uniform asymptotic expansions of a class of Meijer G-functions for a large parameter. (English) Zbl 0531.33011
Asymptotic estimates of certain Meijer G-functions are derived using contour integration techniques. Usually one or several of the parameters are large, while the arguments and some other parameters serve as uniformity parameters. For special values of the parameters a result is otained for the Jacobi polynomials, which agrees with the classical expansion of Darboux, but it is valid in a wider domain than earlier results are. The paper gives a very detailed analysis of the problem and an extensive demonstration of the machinery of complex variable techniques for contour integrals over Riemann sheets of multi-valued functions.
Reviewer: N.M.Temme
MSC:
33C60Hypergeometric integrals and functions defined by them
41A60Asymptotic approximations, asymptotic expansions (steepest descent, etc.)