Strong subordination and superordination with sandwich-type theorems using integral operators [PDF]
, 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
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Meromorphic close-to-convex functions satisfying a differential inequality [PDF]
, 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
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Certain sufficient conditions for phi-like functions in a parabolic region [PDF]
, 2023 To obtain the main result of the present paper we use the technique of differential subordination. As special cases of our main result, we obtain sufficient conditions for \(f\in A\) to be φ -like, starlike and close-to-convex in a parabolic region ...
Richa Brar +5 more
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On sandwich theorems for some subclasses defined by generalized hypergeometric functions [PDF]
, 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
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On multivalent starlike functions [PDF]
, 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
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g-Loewner chains, Bloch functions and extension operators into the family of locally biholomorphic mappings in infinite dimensional spaces [PDF]
, 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
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On generalized close-to-convexity related with strongly Janowski functions [PDF]
, 2023 Janowski functions of strongly type are used to define certain classes of analytic functions which generalize the concept of close-to-convexity and bounded boundary rotation.
SHAH, Shujaat Ali, NOOR, Khalida Inayat
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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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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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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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