Results 11 to 20 of about 111 (99)

On sandwich theorems for some subclasses defined by generalized hypergeometric functions [PDF]

open access: yes, 2017
In this paper we derive some subordination and superordination results for certain normalized analytic functions in the open unit disc, which are acted upon by a class of generalized hypergeometric function Hq,s(α1).
EL-ASHWAH, Rabha Mohamed   +2 more
core   +2 more sources

Schwarzian derivative and Janowski convexity [PDF]

open access: yes, 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.
core   +2 more sources

Strong subordination and superordination with sandwich-type theorems using integral operators

open access: yes, 2021
The notions of strong differential subordination and superordination have been studied recently by many authors. In the present paper, using these concepts, we obtain some preserving properties of certain nonlinear integral operator defined on the space ...
ARJOMANDINIA, Parviz, AGHALARY, Rasoul
core   +1 more source

g-Loewner chains, Bloch functions and extension operators into the family of locally biholomorphic mappings in infinite dimensional spaces

open access: yes, 2022
In this paper, we survey recent results obtained by the authors on the preservations of the first elements of (g-) Loewner chains and the Bloch mappings by the Roper-Suffridge type extension operators, the Muir type extension opera- tors and the ...
HAMADA, Hidetaka   +3 more
core   +2 more sources

Meromorphic close-to-convex functions satisfying a differential inequality

open access: yes, 2020
In the present paper, we study the differential inequality ... where f ∈ Σ and notice that the members of class Σ which satisfy the above inequality are meromorphic close-to-convex.
BILLING, Sukhwinder Singh   +1 more
core   +1 more source

Admissible classes of analytic functions associated with generalized Struve functions [PDF]

open access: yes, 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
core   +2 more sources

Professor GABRIELA KOHR – A life for research. In memoriam [PDF]

open access: yes, 2022
We review the main contributions of Professor Gabriela Kohr in her studies in the Geometric function theory in several complex variables and complex Banach spaces with special emphasis on the theory of Loewner chains and the Loewner differential equation.
SĂLĂGEAN, Grigore Ștefan   +1 more
core  

Coefficient estimates and subordination properties for certain classes of analytic functions of reciprocal order [PDF]

open access: yes, 2018
In this work, we determine the coefficient bounds and subordination results for functions in certain subclasses of analytic functions of reciprocal order, which are introduced here by means of a Hadamard product of analytic functions.
FRASIN, Basem Aref, Al-HAWARY, Tariq
core   +2 more sources

The Nehari–Schwarz lemma and infinitesimal boundary rigidity of bounded holomorphic functions

open access: yes, 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
core   +2 more sources

On multivalent starlike functions

open access: yes, 2019
We prove some new sufficient conditions for function to be p-valent, or p-valently starlike in the unit disc.
SOKÓŁ, Janusz, NUNOKAWA, Mamoru
core   +1 more source

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