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5041
New Subclasses of Multivalent Analytic Functions Associated with a Linear Operator
Published 2013-01-01“…Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we consider two subclasses and of multivalent analytic functions with negative coefficients in the open unit disk. Some modified Hadamard products, integral transforms, and the partial sums of functions belonging to these classes are studied.…”
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5042
Projection solutions of Frobenius-Perron operator equations
Published 1993-01-01“…We construct in this paper the first order and second order piecewise polynomial finite approximation schemes for the computation of invariant measures of a class of nonsingular measurable transformations on the unit interval of the real axis. These schemes are based on the Galerkin's projection method for L1-spaces and are proved to be convergent for the class of Frobenius-Perron operators.…”
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5043
Commuting Toeplitz and Hankel Operators on Harmonic Dirichlet Spaces
Published 2017-01-01“…On the harmonic Dirichlet space of the unit disk, the commutativity of Toeplitz and Hankel operators is studied. …”
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5044
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5045
On New p-Valent Meromorphic Function Involving Certain Differential and Integral Operators
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5046
Composition operators from the Bloch space into the spaces QT
Published 2003-01-01“…Suppose that φ(z) is an analytic self-map of the unit disk Δ. We consider the boundedness of the composition operator Cφ from Bloch space ℬ into the spaces QT (QT,0) defined by a nonnegative, nondecreasing function T(r) on 0≤r<∞.…”
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5047
On Univalence Criteria for a General Integral Operator
Published 2012-01-01“…We consider a new general integral operator, and we give sufficient conditions for the univalence of this integral operator in the open unit disk of the complex plane. Several consequences of the main results are also shown.…”
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5048
FEATURES OF RESTORATION OF DISPERSE POROUS MATERIALS
Published 2017-01-01“…Has been received new data on the of heat and mass transfer processes and carry out intensive and continuous process of solid- liquid-phase reduction of oxides in a single unit.…”
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5049
QK type spaces of analytic functions
Published 2006-01-01“…[0,8) and 0<p<8, -2<q<8, we introduce QK(p,q), a QK type space of functions analytic in the unit disk and study the characterizations of QK(p,q). …”
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5050
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5051
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5052
Building Better Breakfasts
Published 2002-11-01“… This unit was developed to inform Extension 4-H agents and home economists, 4-H leaders, and 4-H youth ages 5 to 11 of the importance of eating breakfast, and to give them practical strategies for selecting and/or preparing palatable, culturally acceptable, and nutritious foods for breakfast. …”
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5053
Hybrid Solar Technology for Power Polygeneration and Energy Saving
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5054
Univalent Logharmonic Mappings in the Plane
Published 2012-01-01“…Topics discussed include mapping theorems, logharmonic automorphisms, univalent logharmonic extensions onto the unit disc or the annulus, univalent logharmonic exterior mappings, and univalent logharmonic ring mappings. …”
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5055
Starlikeness Properties of a New Integral Operator for Meromorphic Functions
Published 2011-01-01“…We define here an integral operator ℋ𝛾1,…,𝛾𝑛 for meromorphic functions in the punctured open unit disk. Several starlikeness conditions for the integral operator ℋ𝛾1,…,𝛾𝑛 are derived.…”
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5056
Radius of strongly starlikeness for certain analytic functions
Published 2002-01-01“…For analytic functions f(z)=zp+ap+1zp+1+⋯ in the open unit disk U and a polynomial Q(z) of degree n>0, the function F(z)=f(z)[Q(z)]β/n is introduced. …”
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5057
A generalised hopf algebra for solitons
Published 2002-01-01“…This paper considers a generalisation of the idea of a Hopf algebra in which a commutative ring replaces the field in the unit and counit. It is motivated by an example from the inverse scattering formalism for solitons. …”
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5058
Construction of Nodal Bubbling Solutions for the Weighted Sinh-Poisson Equation
Published 2013-01-01“…We consider the weighted sinh-Poisson equation in , on , where is a small parameter, , and is a unit ball in . By a constructive way, we prove that for any positive integer , there exists a nodal bubbling solution which concentrates at the origin and the other -points , , such that as , , where and is an odd integer with , or is an even integer. …”
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5059
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5060
Sums of distances between points of a sphere
Published 1982-01-01“…Given N points on a unit sphere in k+1 dimensional Euclidean space, we obtain an upper bound for the sum of all the distances they determine which improves upon earlier work by K. …”
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