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Russian Academy of Sciences. Sbornik. Mathematics, 1994, Volume 78, Issue 1, Pages 113–129
DOI: https://doi.org/10.1070/SM1994v078n01ABEH003461
(Mi sm959)
 

This article is cited in 9 scientific papers (total in 9 papers)

On some questions in the theory of entire functions

V. A. Oskolkov

Institute of Municipal Economy and Construction
References:
Abstract: The following questions are considered. A connection is found in general form between the rate of growth of the maximum modulus of an entire function and the rate of decrease of the moduli of its Maclaurin coefficients. Moreover, a study is made of the distribution of zeros of the successive derivatives of zero-order entire functions and entire functions of exponential type.
Received: 18.12.1991
Bibliographic databases:
UDC: 517.5
MSC: Primary 30D15; Secondary 30C15, 30B10
Language: English
Original paper language: Russian
Citation: V. A. Oskolkov, “On some questions in the theory of entire functions”, Russian Acad. Sci. Sb. Math., 78:1 (1994), 113–129
Citation in format AMSBIB
\Bibitem{Osk93}
\by V.~A.~Oskolkov
\paper On some questions in the~theory of entire functions
\jour Russian Acad. Sci. Sb. Math.
\yr 1994
\vol 78
\issue 1
\pages 113--129
\mathnet{http://mi.mathnet.ru/eng/sm959}
\crossref{https://doi.org/10.1070/SM1994v078n01ABEH003461}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1211369}
\zmath{https://zbmath.org/?q=an:0810.30018}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994NR97600007}
Linking options:
  • https://www.mathnet.ru/eng/sm959
  • https://doi.org/10.1070/SM1994v078n01ABEH003461
  • https://www.mathnet.ru/eng/sm/v184/i1/p129
  • This publication is cited in the following 9 articles:
    1. M. V. Kabanko, K. G. Malyutin, B. N. Khabibullin, “Ob utochnennoi funktsii rosta otnositelno modelnoi”, Materialy Voronezhskoi mezhdunarodnoi vesennei matematicheskoi shkoly «Sovremennye metody kraevykh zadach. Pontryaginskie chteniya—XXXIV», Voronezh, 3-9 maya 2023 g. Chast 1, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 230, VINITI RAN, M., 2023, 56–74  mathnet  crossref
    2. G. G. Braichev, “Joint estimates for zeros and Taylor coefficients of entire function”, Ufa Math. J., 13:1 (2021), 31–45  mathnet  crossref  isi
    3. G. G. Braichev, “Ob odnoi probleme Adamara i sglazhivanii vypuklykh funktsii”, Vladikavk. matem. zhurn., 7:3 (2005), 11–25  mathnet  mathscinet  elib
    4. Kozko A., “Asymptotics of the Spectrum of the Differential Operator -Y"+Q(X)Y with a Boundary Condition at Zero and with Rapidly Growing Potential”, Differ. Equ., 41:5 (2005), 636–648  mathnet  crossref  mathscinet  zmath  isi  elib
    5. A. Yu. Popov, “On the completeness of sparse subsequences of systems of functions of the form f(n)(λnz)”, Izv. Math., 68:5 (2004), 1025–1049  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    6. A. Yu. Popov, “Bounds for convergence and uniqueness in Abel–Goncharov interpolation problems”, Sb. Math., 193:2 (2002), 247–277  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    7. S. A. Shkarin, “On effective linearly ordered sets of comparison functions”, Math. Notes, 67:4 (2000), 534–540  mathnet  crossref  crossref  mathscinet  zmath  isi
    8. Yu. F. Korobeinik, “A relationship between the maximum modulus and Taylor coefficients of entire functions of several complex variables”, Math. Notes, 62:2 (1997), 198–215  mathnet  crossref  crossref  mathscinet  zmath  isi
    9. V. A. Oskolkov, L. I. Kalinichenko, “Growth of entire functions represented by Dirichlet series”, Sb. Math., 187:10 (1996), 1545–1560  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:423
    Russian version PDF:138
    English version PDF:26
    References:75
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