Let Ω be any set in the complex plane ℂ, let p be analytic in the unit disk U and let ψ (r, s, t; z). In this article we consider the problem of determining properties of functions p that satisfy the differential superordination Ω ⊂ {ψ(p(z), z 2 p"(z);z)|z ∈ U}.
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Complex Variables Theory and Application An International Journal is a peer-reviewed journal published by Taylor & Francis, covering Holomorphic and Operator Theory, Analytic and geometric function theory, Meromorphic and Entire Functions.
| Publisher | Taylor & Francis |
|---|---|
| Reference style | Author–year (Chicago, T&F) Author–year — (Smith, 2023) in the text Smith, Ada, Ben Jones, and Cara Lee. 2023. "A Representative Article Title." Complex Variables Theory and Application An International Journal 12 (3): 45–58.
Formats any DOI in Complex Variables Theory and Application An International Journal style. No sign-up. |
| Publishes research in | Holomorphic and Operator Theory Analytic and geometric function theory Meromorphic and Entire Functions Algebraic and Geometric Analysis Differential Equations and Boundary Problems |
| ISSN | 0278-1077 |
| h-index | 45 |
| i10-index | 403 |
| Total citations | 13,881 |
| Top institutions publishing here | University of Delaware |
| Journal website | www.tandfonline.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
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Abstract For every q. 0<q<1 we define a class of complex functions as the class of functions f, analytic on the open unit disc ℬ, f(0)=0, f′(0)=1 and |f(qz)| ⩽ |f(z)| on ℬ. This class is denoted by PSq . We study this class and explore the relationships between this class and other classes of…
With the and of the notion of weighted sharing we prove some uniqueness theorems of meromorphic functions which improve some earlier results.
Let g be an analytic function on the unit disk D . We study the operator on the Hardy spaces Hp . We show that Tg is bounded on Hp , 1 ≤ p < ∞ it and only if g ∊ BMOA and compact if and only if g ∊ VOMA. Further on the…
Abstract We generalize the definition of a certain derivative of regular functions of variables from the four-dimensional real associative algebra of quaternions to monogenic functions of hypercomplex variables in Rn+1. Using this concept of derivation we look for primitives of monogenic functions in the set of monogenic functions. The results will be applied for proving…