Results 51 to 60 of about 273,067 (317)

New Properties of Analytic Functions

open access: yesMathematics
In the present paper, we consider the class A¯ of functions f(z) of the form f(z)=z+∑k=1∞a1+k3z1+k3 that are analytic in the open unit disc U. If a1+k3=0 for k≠3n(n=1,2,3,⋯), then f(z) is given by f(z)=z+∑k=2∞akzk.
Hatun Özlem Güney, Shigeyoshi Owa
doaj   +1 more source

Multivalent Functions and Differential Operator Extended by the Quantum Calculus

open access: yesFractal and Fractional, 2022
We used the concept of quantum calculus (Jackson’s calculus) in a recent note to develop an extended class of multivalent functions on the open unit disk. Convexity and star-likeness properties are obtained by establishing conditions for this class.
Samir B. Hadid   +2 more
doaj   +1 more source

An integral operator on the classes \(\mathcal{S}^{\ast}(\alpha )\) and \(\mathcal{CVH}(\beta )\)

open access: yes, 2015
The purpose of this paper is to study some properties related to convexity order and coefficients estimation for a general integral operator. We find the convexity order for this operator, using the analytic functions from the class of starlike functions
Ularu, Nicoleta, Breaz, Nicoleta
core   +1 more source

Venous Thromboembolism in Pediatric Bone Sarcoma Patients: A 10‐Year, Single‐Institution Experience Encompassing the COVID‐19 Pandemic

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Osteosarcoma (OS) and Ewing sarcoma (EWS) are the most common primary bone cancers in children, but acute thrombosis is poorly characterized in this population. Our study evaluated the rates of venous thromboembolism (VTE) and associated risk factors in pediatric patients with bone sarcomas treated over a 10‐year period encompassing
Sarah Kappa   +8 more
wiley   +1 more source

Inequalities of harmonic univalent functions with connections of hypergeometric functions

open access: yesOpen Mathematics, 2015
Let SH be the class of functions f = h+g that are harmonic univalent and sense-preserving in the open unit disk U = { z : |z| < 1} for which f (0) = f'(0)-1=0. In this paper, we introduce and study a subclass H( α, β) of the class SH and the subclass NH(
Sokół Janusz   +3 more
doaj   +1 more source

BOUNDING THE SMARANDACHE FUNCTION [PDF]

open access: yes, 2007
The article illustrates the importance of being able to calculate the Smarandache function for prime powers.
MITCHELL, PATRICK, FARRIS, Mark
core   +1 more source

Moments of analytic functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1955
There are many theorems which state that an analytic function which is of sufficiently slow growth in a half-plane and tends sufficiently rapidly to zero along an interior line must vanish identically. Recently a theorem of this sort was proved by San Juan [4] and Sunyer Balaguer [5], where the condition of rapid approach to zero is expressed ...
openaire   +1 more source

Serological Benefit of SARS‐CoV‐2 Vaccination Relative to Infection in Children With Acute Lymphoblastic Leukemia

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Children with acute lymphoblastic leukemia (ALL) are at risk of severe outcomes from SARS‐CoV‐2 (SCV2). In the post‐pandemic context, where most children have been infected with SCV2, there are limited data on whether vaccination remains beneficial in children with ALL.
Janna R. Shapiro   +11 more
wiley   +1 more source

Examining the behavior of parametric convex operators on a certain set of analytical functions

open access: yesMethodsX
Mathematical operators that maintain convex functional combinations involving at least one parameter are called parametric convex operators (PCOs) on analytic function spaces.
Ibtisam Aldawish
doaj   +1 more source

Analytic functions and complex integration [PDF]

open access: yes, 1971
This paper presents some basic theory of analytic function. The class of analytic functions is formed by the complex functions of a complex variable which possess a derivative wherever the function is defined.
Lin, Ying Mei   +1 more
core  

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