Search Results - (Author, Cooperation:D. Prokhorov)

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  1. 1
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    American Association for the Advancement of Science (AAAS)
    Published 2011
    Staff View
    Publication Date:
    2011-11-26
    Publisher:
    American Association for the Advancement of Science (AAAS)
    Print ISSN:
    0036-8075
    Electronic ISSN:
    1095-9203
    Topics:
    Biology
    Chemistry and Pharmacology
    Computer Science
    Medicine
    Natural Sciences in General
    Physics
    Published by:
    Latest Papers from Table of Contents or Articles in Press
  2. 2
    Prokhorov, D. V.
    Springer
    Published 1978
    Staff View
    ISSN:
    1573-8876
    Source:
    Springer Online Journal Archives 1860-2000
    Topics:
    Mathematics
    Type of Medium:
    Electronic Resource
    URL:
    Articles: DFG German National Licenses
  3. 3
    Prokhorov, D. V.
    Springer
    Published 1988
    Staff View
    ISSN:
    1573-8876
    Source:
    Springer Online Journal Archives 1860-2000
    Topics:
    Mathematics
    Type of Medium:
    Electronic Resource
    URL:
    Articles: DFG German National Licenses
  4. 4
    Prokhorov, D. V.
    Springer
    Published 1971
    Staff View
    ISSN:
    1573-8876
    Source:
    Springer Online Journal Archives 1860-2000
    Topics:
    Mathematics
    Notes:
    Abstract We determined the maximum radius δ α (r) of the disk Ωr, possessing the property that every functionf (z), starlike of orderα, is starlike in ¦z¦〈r with respect to any point of Ωr. The problem is reduced to that of finding the minimum of a certain functional for which extremal function is determined.
    Type of Medium:
    Electronic Resource
    URL:
    Articles: DFG German National Licenses
  5. 5
    Prokhorov, D. V.
    Springer
    Published 1975
    Staff View
    ISSN:
    1573-8876
    Source:
    Springer Online Journal Archives 1860-2000
    Topics:
    Mathematics
    Notes:
    Abstract As a generalization of the well-known Christoffel-Schwartz formula, a formula is obtained for mapping the interior of the unit disk onto a domain whose boundary consists of n arcs of curves, each of which, under the choice of some branch of the transformation ζ=wm, m〉0, passes through a rectilinear segment of the ζ-plane. It is shown that the class Bm of Bazilevich functions coincides with the class ¯Lm of functions representable by means of the obtained formula of the special type.
    Type of Medium:
    Electronic Resource
    URL:
    Articles: DFG German National Licenses
  6. 6
    Prokhorov, D. V.
    Springer
    Published 1972
    Staff View
    ISSN:
    1573-8876
    Source:
    Springer Online Journal Archives 1860-2000
    Topics:
    Mathematics
    Notes:
    Abstract We consider a class of functions, including the Bazilevich functions, which are regular in the unit disk. The theorems of Levandovskii identifying the class of close-to-convex functions with the class of linearly accessible functions are generalized, and the geometric structure of this class is established. A method constructing a subordinating homotopy chain is used.
    Type of Medium:
    Electronic Resource
    URL:
    Articles: DFG German National Licenses
  7. 7
    Prokhorov, D. V. ; Rakhmanov, B. N.
    Springer
    Published 1976
    Staff View
    ISSN:
    1573-8876
    Source:
    Springer Online Journal Archives 1860-2000
    Topics:
    Mathematics
    Notes:
    Abstract We refine and generalize a result of V. A. Zmorovich on the integral representation of a class of univalent functions which are convex in some direction. We prove that all function of the class being considered can be approximated by a Schwarz-Christoffel integral of a special form belonging to the same class.
    Type of Medium:
    Electronic Resource
    URL:
    Articles: DFG German National Licenses
  8. 8
    Prokhorov, D. V.
    Springer
    Published 1977
    Staff View
    ISSN:
    1573-8795
    Source:
    Springer Online Journal Archives 1860-2000
    Topics:
    Mathematics
    Type of Medium:
    Electronic Resource
    URL:
    Articles: DFG German National Licenses
  9. 9
    Prokhorov, D. V.
    Springer
    Published 1997
    Staff View
    ISSN:
    1573-8876
    Keywords:
    holomorphic functions ; Pick functions ; Koebe functions ; maximal value problem
    Source:
    Springer Online Journal Archives 1860-2000
    Topics:
    Mathematics
    Notes:
    Abstract We solve the maximal value problem for the functional $$\operatorname{Re} \sum\nolimits_{j = 1}^m {a_{k_j } } $$ in the class of functionsf(z)=z+a 2z2+… that are holomorphic and univalent in the unit disk and satisfy the inequality |f(z)|〈M. We prove that the Pick functions are extremal for this problem for sufficiently largeM whenever the set of indicesk 1,…,km contains an even number.
    Type of Medium:
    Electronic Resource
    URL:
    Articles: DFG German National Licenses
  10. 10
    Il'in, A. V. ; Nikonov, Yu. A. ; Prokhorov, D. V.
    Springer
    Published 1992
    Staff View
    ISSN:
    1573-9325
    Source:
    Springer Online Journal Archives 1860-2000
    Topics:
    Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes:
    Abstract A method is given for determining cracking resistance based on the strain diagram for stable crack growth; the specimen is loaded to give a set rate of crack extension or with given speed for the clamps. The critical value of the Jintegral has been determined by calculating the work of strain for a hypothetical specimen composed of a nonlinearly elastic material whose cracking resistance is equal to that of the actual one. Two forms of implementation are considered: simplified and numerical. The results are compared with those from standard methods and show that the proposed method is promising as it can be based on tests on a single specimen with a simple technique.
    Type of Medium:
    Electronic Resource
    URL:
    Articles: DFG German National Licenses
  11. 11
    Prokhorov, D. S. ; Grudin, A. A. ; Yurgenson, D. R.
    Springer
    Published 1990
    Staff View
    ISSN:
    1573-8906
    Source:
    Springer Online Journal Archives 1860-2000
    Topics:
    Electrical Engineering, Measurement and Control Technology
    Type of Medium:
    Electronic Resource
    URL:
    Articles: DFG German National Licenses
  12. 12
    Grudin, A. A. ; Prokhorov, D. S. ; Yurgenson, D. R.
    Springer
    Published 1990
    Staff View
    ISSN:
    1573-8906
    Source:
    Springer Online Journal Archives 1860-2000
    Topics:
    Electrical Engineering, Measurement and Control Technology
    Type of Medium:
    Electronic Resource
    URL:
    Articles: DFG German National Licenses
  13. 13
    Prokhorov, D. V.
    Springer
    Published 1991
    Staff View
    ISSN:
    1573-9260
    Source:
    Springer Online Journal Archives 1860-2000
    Topics:
    Mathematics
    Type of Medium:
    Electronic Resource
    URL:
    Articles: DFG German National Licenses