Showing 5,261 - 5,280 results of 20,458 for search '"The Unit"', query time: 0.08s Refine Results
  1. 5261
  2. 5262
  3. 5263

    On approximation of two-dimensional potential and singular operators by Charyyar Ashyralyyev, Sedanur Efe

    Published 2019-12-01
    “…The purpose of this paper is the construction of second-order of accuracy quadrature formulas for the numerical calculation of the Vekua types two-dimensional potential and singular integral operators in the unit disk of complex plane. We propose quadrature formulas for these integrals which based on first-order spline approximation of two-dimensional function. …”
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  4. 5264

    Some Connections between Class 𝒰- and α-Convex Functions by Edmond Aliaga, Nikola Tuneski

    Published 2014-01-01
    “…The class 𝒰(λ,μ) of normalized analytic functions that satisfy |(z/f(z))1+μ·f′(z)−1|<λ for all z in the open unit disk is studied and sufficient conditions for an α-convex function to be in 𝒰(λ,μ) are given.…”
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  5. 5265

    Integral means of certain multivalent functions by S. Sümer Eker, H. Özlem Güney, Shigeyoshi Owa

    Published 2006-01-01
    “…For analytic and multivalent functions f(z) and p(z) in the open unit disk U, a subordination theorem due to Littlewood (1925) which was called the integral mean is applied. …”
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  6. 5266

    Quantum relativistic Toda chain by G. Pronko, Sergei Sergeev

    Published 2001-01-01
    “…Weyl’s q we are considering here is restricted to be inside the unit circle. Quantum Lax operators of the model are intertwined by six-vertex R-matrix. …”
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  7. 5267

    On the asymptotic Bieberbach conjecture by Mauriso Alves, Armando J. P. Cavalcante

    Published 1982-01-01
    “…The set S consists of complex functions f, univalent in the open unit disk, with f(0)=f'(0)-1=0. We use the asymptotic behavior of the positive semidefinite FitzGerald matrix to show that there is an absolute constant N0 such that, for any f(z)=z+?…”
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  8. 5268

    Coefficient estimates for Ruscheweyh derivatives by Maslina Darus, Ajab Akbarally

    Published 2004-01-01
    “…We consider functions f, analytic in the unit disc and of the normalized form f(z)=z+∑n=2∞anzn. …”
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  9. 5269

    Coefficient Bounds for Certain Subclasses of Bi-Univalent Function by G. Murugusundaramoorthy, N. Magesh, V. Prameela

    Published 2013-01-01
    “…We introduce two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disc. Furthermore, we find estimates on the coefficients |a2| and |a3| for functions in these new subclasses. …”
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  10. 5270

    Integral-Type Operators from Bloch-Type Spaces to QK Spaces by Stevo Stević, Ajay K. Sharma

    Published 2011-01-01
    “…The boundedness and compactness of the integral-type operator Iφ,g(n)f(z)=∫0zf(n)(φ(ζ))g(ζ)dζ, where n∈N0, φ is a holomorphic self-map of the unit disk D, and g is a holomorphic function on D, from α-Bloch spaces to QK spaces are characterized.…”
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  11. 5271

    On the Study of Trigonometric Polynomials Using Strum Sequence by Saiful R. Mondal, Kottakkaran Sooppy Nisar, Thabet Abdeljawad

    Published 2020-01-01
    “…As an application, those nonnegative trigonometric sums are used to study the geometric properties of complex polynomials in the unit disk. The Strum sequences are used to prove the main outcome.…”
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  12. 5272

    On General Integral Operator of Analytic Functions by Nasser Alkasbi, Maslina Darus

    Published 2013-01-01
    “…Let be the integral operator defined by , where each of the functions and is, respectively, analytic functions and functions with positive real part defined in the open unit disk for all . The object of this paper is to obtain several univalence conditions for this integral operator. …”
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  13. 5273

    The essential norm of a composition operator mapping into Qk type spaces by Marko Kotilainen, Jouni Rättyä

    Published 2008-01-01
    “…An asymptotic formula for the essential norm of the composition operator Cφ(f):=f∘φ, induced by an analytic self-map φ of the unit disc, mapping from the α-Bloch space ℬα or the Dirichlet type space Dαp into Qk(p,q) is established in terms of an integral condition.…”
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  14. 5274

    Normality of the p-Harmonic and Log-p-Harmonic Mappings by Qinghua Jiang, Fanning Meng, Guoqiang Dang

    Published 2020-01-01
    “…In this paper, the concepts of p-harmonic mappings and log-p-harmonic mappings in the unit disk have been introduced and studied by many researchers. …”
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  15. 5275

    Differences of Composition Operators Followed by Differentiation between Weighted Banach Spaces of Holomorphic Functions by Cui Chen, Ren-Yu Chen, Ze-Hua Zhou

    Published 2013-01-01
    “…We characterize the boundedness and compactness of differences of the composition operators followed by differentiation between weighted Banach spaces of holomorphic functions in the unit disk. As their corollaries, some related results on the differences of composition operators acting from weighted Banach spaces to weighted Bloch type spaces are also obtained.…”
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  16. 5276

    Remarks on orthogonal polynomials with respect to varying measures and related problems by Xin Li

    Published 1993-01-01
    “…We point out the relation between the orthogonal polynomials with respect to (w.r.t.) varying measures and the so-called orthogonal rationals on the unit circle in the complex plane. This observation enables us to combine different techniques in the study of these polynomials and rationals. …”
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  19. 5279

    Diagnostic properties of differing BP thresholds for adverse pregnancy outcomes in standard-risk nulliparous women: A secondary analysis of SCOPE cohort data. by Laura Slade, Maya Blackman, Hiten D Mistry, Jeffrey N Bone, Milly Wilson, Nuhaat Syeda, Lucilla Poston, Peter von Dadelszen, Laura A Magee, SCOPE Consortium

    Published 2025-01-01
    “…BP thresholds below the currently used "Stage 2 hypertension" were not associated with PTB, low birthweight, postpartum hemorrhage, or neonatal unit admission. This study does not support implementation of lower BP values as abnormal in nulliparous pregnant women.…”
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  20. 5280