# 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)
On the Ostrovskii-Peresyolkova conjecture about zeros of the Mittag-Leffler functions. (English) Zbl 1117.30005
Approximation theory: asymptotical expansions. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. Proceedings of the Steklov Institute of Mathematics 2001, Suppl. 1, S167-S182 (2001).
Summary: Bounds, best to date, of the parameter $\mu$ are obtained which guarantee that the Mittag-Leffler functions $E_\rho(z,\mu)$ have only negative and simple zeros under the condition $0.4\le\rho<0.5$. An example is presented that shows that the result cannot be considerably enhanced. For the entire collection see [Zbl 1116.41001].

##### MSC:
 30C15 Zeros of polynomials, etc. (one complex variable) 33E12 Mittag-Leffler functions and generalizations