1,720,975 research outputs found
Univalent harmonic mappings between annuli - by Manal Abdallah Salam
No full textThesis (M.S.)--American University of Beirut, Dept. of Mathematics, 2004.;"Advisor: Dr. Abdallah Lyzzaik, Professor, Mathematics--Member of Committee: Dr. Azmi Hanna, Professor, Mathematics--Member of Committee: Dr. Kamal Khouri Makdisi, Associate ProfessBibliography: leaves 55-56
Univalent functions starlike with respect to a boundary point - by Lina Assaad Rahhal
No full textThesis (M.S.)--American University of Beirut, Dept. of Mathematics, 2005.;"Advisor: Dr. Abdallah Lyzzaik, Professor, Mathematics.--Member of Committee: Dr. Nazih Nahlus, Professor, Mathematics.--Member of Committee: Dr. Bassam Shayya, Associate Professor,Bibliography: leaf 24
Local Properties of Light Harmonic Mappings
No full textAbstractThe object of this paper is to study the local properties of light harmonic mappings.</jats:p
On a conjecture of M. S. Robertson
No full textWe prove that two classes of univalent functions are equal. This settles a conjecture of M. S. Robertson in the affirmative.</p
The Multivalent Class of Geometrically Close-to-Convex Functions
No full textThe class of univalent close-to-convex functions, K, was introduced by Kaplan [4] and first studied by him. The first important extension to the class of multivalent close-to-convex functions, K(p) where p is a positive integer, was considered by Livingston [7]. Somewhat later, Styer [15] introduced the more general class, Kw(p), of weakly close-to-convex functions by simply taking the closure of Livingston's class K(p) in the topology of locally uniform convergence in B = {z: |z| ≤ 1}.In 1936 Biernacki [2] introduced his class of linearly accessible functions. A function f is linearly accessible if f is univalent in B, f(0) = 0, and C – f(B) where C is the complex plane, is a union of closed (Euclidean) rays with disjoint interiors. In an interesting result, Lewandowski [6] showed that the classes of univalent close-to-convex functions and linearly accessible functions are equal.</jats:p
Curve-based morphing of subdivision objects - by Samar Bassam Al-Fatayri.
No full textThesis (M.S.)--American University of Beirut, Dept. of Computer Science, 2009.;"Advisor : Dr. Ahmad Nasri, Professor , Computer Science--Member of Committee : Dr. Abdallah Lyzzaik, Professor , Mathematics--Member of Committee : Dr. George Turkiyyah, AssocBibliography : leaves 93-96.Morphing is a topic of great importance in computer graphics with applications in various domains such as animation, special effects in movies and entertainment , contour interpolation in medical imaging, 3D surface blending, computer-aided geometric des
Geometrically and annular starlike functions - by Khadejeh Mohammad Abdallah
No full textThesis (M.S.)--American University of Beirut, Dept. of Mathematics, 2006.;"Advisor: Dr. Abdallah Lyzzaik, Professor, Mathematics--Member of Committee: Dr. Nazih Nahlus, Professor, Mathematics--Member of Committee: Dr. Bassam Shayya, Associate Professor, MBibliography: leaf 26.The thesis deals with univalent geometric and annular starlike functions. A non- computational way, due to D. Styer, is demonstrated to show that geometrically s tarlike functions are not necessarily annular. Also, we give two proofs, one for D. Styer an
Light harmonic mappings - local properties
No full textThesis (M.S.)--American University of Beirut. Department of Mathematics, 1996.;"Advisor: Dr. Abdallah Lyzzaik, Professor , Mathematics – Members of Committee: Dr. Jacek Nikiel, Associate Professor, Mathematics Dr. Ahmad Shamsuddin, Professor, MathematicsBibliography: leaves 50-51.The main purpose of the thesis is to describe the local behavior of light harmonic mappings at their critical points from which we observe that light harmonic mappings have a surface structure that generalizes the surface structure of analytic mappings
Univalence criteria for harmonic mappings - by Marwa Marwan El Houri
No full textThesis (M.S.)--Dept. of Mathematics, AUB, 2004.;"Advisor: Dr. Abdallah Lyzzaik, Professor, Mathematics--Member of Committee: Dr. Nazih Nahlus, Professor, Mathematics--Member of Committee: Dr. Bassam Shayya, Associate Professor, Mathematics"Bibliography : leaf 49.The object of this thesis is first to study the local behavior of light harmonic mappings and second to prove univalence criteria involving harmonic mappings in simply and multiply connected domains. In this regard, we provide the results of Rado, Knese
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