Results 21 to 30 of about 98 (96)
Length problems for Bazilevič functions
Demonstratio Mathematica, 2019 Let C(r) denote the curve which is image of the circle |z| = r < 1 under the mapping f . Let L(r) be the length of C(r) and A(r) the area enclosed by the curve C(r).
Nunokawa Mamoru +2 more
doaj +1 more source
The Nehari–Schwarz lemma and infinitesimal boundary rigidity of bounded holomorphic functions [PDF]
, 2022 We survey a number of recent generalizations and sharpenings of Nehari’s extension of Schwarz’ lemma for holomorphic self–maps of the unit disk. In particular, we discuss the case of infinitely many critical points and its relation to the zero sets and ...
ROTH, Oliver
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Toeplitz matrices whose elements are coefficients of Bazilevič functions
Open Mathematics, 2018 We consider the Toeplitz matrices whose elements are the coefficients of Bazilevič functions and obtain upper bounds for the first four determinants of these Toeplitz matrices.
Radhika Varadharajan +3 more
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Admissible classes of analytic functions associated with generalized Struve functions [PDF]
, 2017 In the present paper, by considering suitable classes of admissible functions we investigate some strong differential subordination as well as superordination results for analytic functions associated with normalized form of the generalized Struve ...
BREAZ, Daniel, PANIGRAHI , Trailokya
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Differential subordination and convexity criteria of integral operators
Open Mathematics, 2017 A significant connection between certain second-order differential subordination and subordination of f′(z) is obtained. This fundamental result is next applied to investigate the convexity of analytic functions defined in the open unit disk.
Chandrashekar R. +2 more
doaj +1 more source
A generalized Schwarz lemma for two domains related to μ-synthesis
Complex Manifolds, 2018 We present a set of necessary and sufficient conditions that provides a Schwarz lemma for the tetrablock E. As an application of this result, we obtain a Schwarz lemma for the symmetrized bidisc G2.
Pal Sourav, Roy Samriddho
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Schwarzian derivative and Janowski convexity [PDF]
, 2017 Sufficient conditions relating the Schwarzian derivative to the Janowski convexity of a normalized analytic function f are obtained. As a consequence, sufficient conditions are determined for the function f to be Janowski convex and convex of order α ...
BOHRA, Nisha, RAVICHANDRAN, V.
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Certain sufficient conditions for starlikeness and convexity using a multiplier transformation [PDF]
, 2018 In the present paper, we study a differential subordination involving a multiplier transformation. Selecting different dominants to our main result, we obtain certain sufficient conditions for starlikeness and convexity of analytic functions.
BILLING, Sukhwinder Singh, BRAR, Richa
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On differential subordinations for a class of analytic functions defined by a linear operator
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 42, Page 2219-2230, 2004., 2004 We obtain several results concerning the differential subordination between analytic functions and a linear operator defined for a certain family of analytic functions which are introduced here by means of these linear operators. Also, some special cases are considered.
V. Ravichandran +3 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 4, Page 227-238, 2002., 2002 We discuss the dynamics of the correspondences associated to those plane curves whose local sections contract the Poincaré metric in a hyperbolic planar domain.
Araceli Bonifant, Marius Dabija
wiley +1 more source