Subclass of Multivalent Harmonic Functions with Missing Coefficients

We have studied subclass of multivalent harmonic functions with missing coefficients in the open unit disc and obtained the basic properties such as coefficient characterization and distortion theorem, extreme points, and convolution

Inclusion and neighborhood properties of certain subclasses of p-valent functions of complex order defined by convolution

In this paper we introduce and investigate three new subclasses of $p$-valent analytic functions by using the linear operator $D_{\lambda,p}^m(f*g)(z)$. The various results obtained here for each of these function classes include coefficient bounds, distortion inequalities and associated inclusion relations for $(n,\theta)$-neighborhoods of subclasses of analytic and multivalent functions with negative coefficients, which are defined by means of a non-homogenous differential equation

Some results of p-valent analytic functions defined by integral operator

In this paper we study different applications of the inclusion relationships, radius problems and some other interesting properties of p-valent functions which are defined by integral operator

Estimate on logarithmic coefficients of Kamali-type starlike functions associated with four-leaf shaped domain

n the present paper, the authors introduce a new subclass namely; RL(φ4L, ν) of Kamali-type starlike functions defined in the open unit disk D connected with four-leaf shaped domain. We investigate the bounds of some initial coefficients, Fekete-Szegö inequality and other results of logarithmic coefficients for the function belonging to above class. Relevant connections of the results derived in this paper with those of earlier works are indicated

Univalent harmonic functions defined by Salagean integral operator with respect to symmetric points

In this paper, we define and investigate a subclass of univalent harmonic functions defined by Salagean integral operator with respect to symmetric points. We obtain coefficient conditions, extreme points, distortion bounds, convex combinations for this family of harmonic univalent functions

Unified representation of a certain class of harmonic univalent functions defined by Dziok-Srivastava operator

In this paper, we investigate several properties of the harmonic class defined by the modified Dziok-Sirvastava operator, obtain distortion theorem, extreme points, convolution condition, convex combinations and integral operator for this class. Some of our results generalize previously known results

Differential sandwich theorems for p-valent functions associated with generalized multiplier transformations

In this paper, we obtain some applications of theory of differential subordination, superordination and sandwich results involving an operator

COVID-19 infection in adult patients with hematological malignancies: a European Hematology Association Survey (EPICOVIDEHA)

Background: Patients with hematological malignancies (HM) are at high risk of mortality from SARS-CoV-2 disease 2019 (COVID-19). A better understanding of risk factors for adverse outcomes may improve clinical management in these patients. We therefore studied baseline characteristics of HM patients developing COVID-19 and analyzed predictors of mortality. Methods: The survey was supported by the Scientific Working Group Infection in Hematology of the European Hematology Association (EHA). Eligible for the analysis were adult patients with HM and laboratory-confirmed COVID-19 observed between March and December 2020. Results: The study sample includes 3801 cases, represented by lymphoproliferative (mainly non-Hodgkin lymphoma n = 1084, myeloma n = 684 and chronic lymphoid leukemia n = 474) and myeloproliferative malignancies (mainly acute myeloid leukemia n = 497 and myelodysplastic syndromes n = 279). Severe/critical COVID-19 was observed in 63.8% of patients (n = 2425). Overall, 2778 (73.1%) of the patients were hospitalized, 689 (18.1%) of whom were admitted to intensive care units (ICUs). Overall, 1185 patients (31.2%) died. The primary cause of death was COVID-19 in 688 patients (58.1%), HM in 173 patients (14.6%), and a combination of both COVID-19 and progressing HM in 155 patients (13.1%). Highest mortality was observed in acute myeloid leukemia (199/497, 40%) and myelodysplastic syndromes (118/279, 42.3%). The mortality rate significantly decreased between the first COVID-19 wave (March–May 2020) and the second wave (October–December 2020) (581/1427, 40.7% vs. 439/1773, 24.8%, p value < 0.0001). In the multivariable analysis, age, active malignancy, chronic cardiac disease, liver disease, renal impairment, smoking history, and ICU stay correlated with mortality. Acute myeloid leukemia was a higher mortality risk than lymphoproliferative diseases. Conclusions: This survey confirms that COVID-19 patients with HM are at high risk of lethal complications. However, improved COVID-19 prevention has reduced mortality despite an increase in the number of reported cases.EPICOVIDEHA has received funds from Optics COMMITTM (COVID-19 Unmet Medical Needs and Associated Research Extension) COVID-19 RFP program by GILEAD Science, United States (Project 2020-8223)

INCLUSION AND NEIGHBORHOOD PROPERTIES OF A CERTAIN SUBCLASSES OF P-VALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS

By means of Ruscheweyh derivative operator, we introduced and investigated two new subclasses of p-valent analytic functions.The various results obtained here for each of these function class include coefficient bounds and distortion inequalities, associated inclusion relations for the (n, θ)-neighborhoods of subclasses of analytic and multivalent functions with negative coefficients, which are defined by means of non-homogenous differential equation. 1 Introductin Let Tp(n) denote the class of functions of the form: f(z) = z p ∞∑ − akz k k=n+p (ak ≥ 0; p, n ∈ N = {1, 2,....}), (1.1) which are analytic and p-valent in the open unit disc U = {z: |z | &lt; 1}. The modified Hadamard product (or convolution) of the function f(z) given by (1.1) and the function g(z) ∈ Tp(n) given by g(z) = z p ∞∑ − bkz k k=n+p (bk ≥ 0; p, n ∈ N) (1.2) is defined by (f ∗ g)(z) = z p ∞∑ − akbkz k = (g ∗ f)(z). (1.3) k=n+

Majorization Properties for Subclass of Analytic p-Valent Functions Dened by the Generalized Hypergeometric Function

[[abstract]]The object of the present paper is to investigate the majorization properties of certain subclass of analytic and p-valent functions dened by the generalized hypergeometric function