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Ozaki-Type Bi-Close-to-Convex and Bi-Concave Functions Involving a Modified Caputo’s Fractional Operator Linked with a Three-Leaf Function

open access: yesFractal and Fractional
The focus of the present work is on the establishment and investigation of the coefficient estimates of two new subclasses of bi-close-to-convex functions and bi-concave functions; these are of an Ozaki type and involve a modified Caputo’s fractional ...
Kaliappan Vijaya   +4 more
doaj   +1 more source

Landau-type theorems for certain subclasses of poly-analytic functions [PDF]

open access: yesarXiv
In this paper, we establish three Landau-type theorems for certain bounded poly-analytic functions, which generalize the corresponding result for bi-analytic functions given by Liu and Ponnusamy [Canad. Math. Bull. 67(1): 2024, 152-165]. Further, we prove three bi-Lipschitz theorems for these subclasses of poly-analytic functions.
arxiv  

Complex Analytic Structure of Stationary Flows of an Ideal Incompressible Fluid [PDF]

open access: yesarXiv
In this article we introduce the structure of an analytic Banach manifold in the set of stationary flows without stagnation points of the ideal incompressible fluid in a periodic 2-d channel bounded by the curves $y=f(x)$ and $y=g(x)$ where $f, g$ are periodic analytic functions.
arxiv  

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