Results 51 to 60 of about 733,090 (333)
On a Length Problem for Univalent Functions
Mathematics, 2018 Let g be an analytic function with the normalization in the open unit disk. Let L ( r ) be the length of g ( { z : | z | = r } ) . In this paper we present a correspondence between g and L ( r ) for the case when g is not necessary
Mamoru Nunokawa +2 more
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FEBS Letters, EarlyView.Metabolic dysfunction‐associated steatotic liver disease (MASLD) affects nearly one‐third of the global population and poses a significant risk of progression to cirrhosis or liver cancer. Here, we discuss the roles of hepatic dendritic cell subtypes in MASLD, highlighting their distinct contributions to disease initiation and progression, and their ...
Camilla Klaimi +3 more
wiley +1 more source
Subclasses of Analytic Functions Defined by Generalized Hypergeometric Functions
Journal of Function Spaces, 2016 We introduce a new subclass of analytic functions in the unit disk U, defined by using the generalized hypergeometric functions, which extends some previous well-known classes defined by different authors.
Badr S. Alkahtani +2 more
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Second Hankel determinant for a class of analytic functions defined by Komatu integral operator [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2020 In this paper, the authors obtain an upper bound of second Hankel determinant for a new class of analytic functions defined through the Komatu integral operator. Our result extends the corresponding previously known results.
Ram N. Mohapatra, Trailokya Panigrahi
doaj
On the univalence of polyanalytic functions [PDF]
arXiv, 2020 A continuous complex-valued function $F$ in a domain $D\subseteq\mathbf{C}$ is Poly-analytic of order $\alpha$ if it satisfies $\partial^{\alpha}_{\overline{z}}F=0.$ One can show that $F$ has the form $F(z)={\displaystyle\sum\limits_{0}^{n-1}}\overline{z}^{k}A_{k}(z)$, where each $A_k$ is an analytic function$.$ In this paper, we prove the existence of
arxiv
On a Class of Analytic Functions [PDF]
Proceedings of the London Mathematical Society, 1905 n ...
openaire +3 more sources
Insights into PI3K/AKT signaling in B cell development and chronic lymphocytic leukemia
FEBS Letters, EarlyView.This Review explores how the phosphoinositide 3‐kinase and protein kinase B pathway shapes B cell development and drives chronic lymphocytic leukemia, a common blood cancer. It examines how signaling levels affect disease progression, addresses treatment challenges, and introduces novel experimental strategies to improve therapies and patient outcomes.
Maike Buchner
wiley +1 more source
Certain Integral Operators of Analytic Functions
Mathematics, 2021 In this paper, two new integral operators are defined using the operator DRλm,n, introduced and studied in previously published papers, defined by the convolution product of the generalized Sălăgean operator and Ruscheweyh operator.
Alina Alb Lupaş, Loriana Andrei
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On the use of the generalized Littlewood theorem concerning integrals of the logarithm of analytical functions for calculations of infinite sums and analysis of zeroes of analytical functions [PDF]
arXiv, 2022 Recently, we have established and used the generalized Littlewood theorem concerning contour integrals of the logarithm of analytical function to obtain a few new criteria equivalent to the Riemann hypothesis. Here, the same theorem is applied to calculate certain infinite sums and study the properties of zeroes of a few analytical functions.
arxiv
On Interpolation to a Given Analytic Function By Analytic Functions of Minimum Norm [PDF]
Transactions of the American Mathematical Society, 1955 and let the function f(z) be analytic in these points. To study the convergence to f(z) of the sequence of functions gR(z); here gn(z) is analytic throughout R1, coincides with f(z) in the points I,, 12, * , 1,, and among all functions uwth these two properties has the least norm in R1. This problem has been previously studied [6; 7] where norm is [lub
J. P. Evans, J. L. Walsh
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