Results 261 to 270 of about 24,932 (285)
Some of the next articles are maybe not open access.
Univalent and Multivalent Functions
2019Let S denote the family of all function \(f(z)=z+a_{2}z^{2}+...\) that are analytic and univalent in the unit disc \(\mathbb {D}\). In [123] Bieberbach proved that \(|a_{2}|\le 2\) and asked whether \(|a_{n}|\le n\) was true for all n. This was the birth of the Bieberbach conjecture.
Walter K. Hayman, Eleanor F. Lingham
openaire +1 more source
Multivalent Binding and Functional Affinity
1976The evolutionary development of the architecture of the antibody molecule has provided in its contemporary form a distinctive structure superbly suited for multivalent interaction. In addition to multivalence, the general occurrence of multiple and identical antigenic determinants on the surfaces of infectious agents and neoplastic cells has led to the
openaire +2 more sources
On a criterion for multivalent harmonic functions
2014Summary: For normalized harmonic functions \(f(z)=h(z)+\overline{g(z)}\) in the open unit disk, a criterion on the analytic part \(h(z)\) for \(f(z)\) to be \(p\)-valent and sense-preserving is discussed. Furthermore, several illustrative examples and images of \(f(z)\) satisfying the obtained condition are enumerated.
openaire +2 more sources
On a sequence of multivalent functions
Complex Variables, Theory and Application: An International Journal, 1993Rational representations are obtained for the functions in the unit disk, and the valences of these functions are computed. For p≥1, f 2p−2 and f 2p−1 are p-valent. The image of the unit disk under each of these functions is precisely determined. The Koebe function f 1(z)occurs naturally as a member of this sequence of functions, and it appears that ...
openaire +1 more source
On the Growth of Multivalent Functions
Journal of the London Mathematical Society, 1958Hayman, W. K., Kennedy, P. B.
openaire +2 more sources
Symmetrization. Multivalent Functions
1958The General Coefficient Theorem is somewhat restricted in its applications by the requirement it imposes on the functions of the admissible family {f} of carrying poles of the quadratic differential interior to the domains of the admissible family {⊿} into themselves. As we have seen, when ℜ is the sphere in some cases this can be arranged by auxiliary
openaire +1 more source
Certain subclasses of meromorphic multivalent q-starlike and q-convex functions
Mathematica Slovaca, 2022Shahid Khan +2 more
exaly
A Subclass of Multivalent Janowski Type q-Starlike Functions and Its Consequences
Symmetry, 2021H M Srivastava +2 more
exaly