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Просмотр по автору "Kayumov I."

Просмотр по автору "Kayumov I."

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  • On holomorphic motions of n-symmetric functions 
    Kayumov I. (2010)
    We generalize a problem examined by Duren on the univalence of a family of n-symmetric functions generated by integrals of functions of the form exp(λζn). Our approach is based on the use of the inverse Faber transform, ...
  • On minimization of cavity drag of hydrofoils 
    Kayumov I.; Maklakov D. (2015)
    © 2015, Allerton Press, Inc. In this work we investigate the limiting values of the lift and drag coefficients of profiles in the Helmholtz—Kirchhoff (infinite cavity) flow. The coefficients are based on the wetted arc ...
  • On the Analytic Part of Univalent Harmonic Mappings 
    Kayumov I.; Ponnusamy S.; Xuan L. (2018)
    © 2018, Springer International Publishing AG, part of Springer Nature. In this article we obtain two sharp results concerning the analytic part of harmonic mappings f= h+ g¯ from the class SH0(S) which was recently introduced ...
  • On the Bohr inequality with a fixed zero coefficient 
    Alkhaleefah S.; Kayumov I.; Ponnusamy S. (2019)
    © 2019 American Mathematical Society. In this paper, we introduce the study of the Bohr phenomenon for a quasisubordination family of functions, and establish the classical Bohr's inequality for the class of quasisubordinate ...
  • On the convergence of series in spaces of integrable functions 
    Kayumov I. (2014)
    A sufficient condition for the convergence of series in the spaces L p on a set of infinite measure is obtained. © 2014 Pleiades Publishing, Ltd.
  • On the Makarov law of the iterated logarithm 
    Hedenmalm H.; Kayumov I. (2007)
    We obtain considerable improvement of Makarov's estimate of the boundary behavior of a general conformal mapping from the unit disk to a simply connected domain in the complex plane. We apply the result to improve Makarov's ...
  • On the sum of squares of the coefficients of Bloch functions 
    Kayumov I.; Wirths K. (2019)
    © 2019, Springer-Verlag GmbH Austria, part of Springer Nature. In this article several types of inequalities for weighted sums of the moduli of Taylor coefficients for Bloch functions are proved.
  • One nonlinear variational problem of the theory of cavitating profiles 
    Maklakov D.; Kayumov I. (2012)
    In this paper we study the limiting values of the lift and drag coefficients of profiles in the Helmholtz-Kirchhoff (infinite cavity) flow. The coefficients are based on the wetted arc length of profile surfaces. Namely, ...
  • Rainfall induced groundwater mound in wedge-shaped promontories: The Strack–Chernyshov model revisited 
    Kacimov A.; Kayumov I.; Al-Maktoumi A. (2016)
    © 2016 Elsevier LtdAn analytical solution to the Poisson equation governing Strack's discharge potential (squared thickness of a saturated zone in an unconfined aquifer) is obtained in a wedge-shaped domain with given head ...
  • Rotations of convex harmonic univalent mappings 
    Kayumov I.; Ponnusamy S.; Xuan L. (2019)
    © 2019 Let f=h+g‾ be a normalized and sense-preserving convex harmonic mapping in the unit disk D. In a recent paper, Ponnusamy and Sairam Kaliraj conjectured that there is a θ∈[0,2π)such that the function h+e iθ g is ...
  • Sharp estimates for integral means for three classes of domains 
    Kayumov I. (2004)
    In this paper, the following sharp estimate is proved: ∫ 0 2π|F′(e iθ)| p, dθ ≤ √π2 1+pΓ(1/2+p/2)/Γ(1+p/2)}, p>-1, where F is the conformal mapping of the domain D - = {ζ:|ζ| > 1} onto the exterior of a convex curve, with ...
  • Smales problem for critical points on certain two rays 
    Hinkkanen A.; Kayumov I. (2010)
    Let f be a polynomial of degree n ≥ 2 with f(0)= 0 and f′(0)= 1. We prove that there is a critical point ζ of f with |f(ζ)/ζ| ≤ 1/2 provided that the critical points of f lie in the sector {re iθ:r > 0,|θ| ≤ π/6}, and ...
  • Stratified laminar flows in a circular pipe: New analytical solutions in terms of elementary functions 
    Maklakov D.; Kayumov I.; Kamaletdinov R. (2018)
    © 2017 Elsevier Inc. Laminar stratified two-phase flows in circular pipes are studied. Under the assumption that the wall-liquid wettability properties of the phases are identical, new exact analytical solutions in terms ...
  • Stratified Laminar Flows in Inclined Pipes 
    Maklakov D.; Kayumov I. (2019)
    © 2019, Allerton Press, Inc. We investigate stratified laminar flows of a two-phase fluid in inclined circular pipes for the case when the interface is a circular arc orthogonal to the pipe wall. The velocity field is ...
  • The integral means spectrum for lacunary series 
    Kayumov I. (2001)
    Asymptotically sharp bounds for the integral means spectrum of lacunary series are proved. In particular, we show that Rohde's estimates for lacunary series with positive coefficients are sharp and hold not only for the ...
  • The law of the iterated logarithm for locally univalent functions 
    Kayumov I. (2002)
    In this paper we prove a sharp version of the Makarov law of the iterated logarithm. In particular, we show that the constant in the right side of this law depends on an asymptotic behaviour of the integral means of the ...
  • The probability of successful allocation of particles in cells (the general case) 
    Kayumov I.; Chuprunov A. (2015)
    © 2015, Springer Science+Business Media New York. Let p<inf>nN</inf> be the probability of successful allocation of n groups of particles in N cells with the following assumptions: (a) each group contains m particles and ...
  • Viscous flow through straight pore channels 
    Kacimov A.; Kayumov I. (2002)
    Steady laminar viscous 2-D flow through straight cylindrical tubes is studied. By comparison of the film-type Averyanov flow in an annular domain and the common Poiseuille flow in a circular tube, it is deduced why at high ...

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