Results 41 to 50 of about 106 (104)

Univalence for convolutions

International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 1, Page 201-203, 1996., 1996
The radius of univalence is found for the convolution f∗g of functions f ∈ S (normalized univalent functions) and g ∈ C (close‐to‐convex functions). A lower bound for the radius of univalence is also determined when f and g range over all of S. Finally, a characterization of C provides an inclusion relationship.
Herb Silverman
wiley   +1 more source

Hadamard Product on Subclasses of Meromorphic Functions Involving q‐Difference Operator

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
By making use of a q‐derivative operator, certain families of meromorphic q‐starlike functions and meromorphic q‐convex functions are introduced and studied. In this paper, we define a q‐analogous value of differential operators for meromorphic functions with the help of basic concepts of quantum (q‐)calculus operator theory and introduce new ...
W. Y. Kota, R. M. El-Ashwah, Nicoleta Breaz, Shrideh K. Q. Al-Omari   +3 more
wiley   +1 more source

A class of bounded starlike functions

International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 249-252, 1994., 1994
We consider functions f(z) = z + … that are analytic in the unit disk and satisfy there the inequality Re(f′(z) + zf″(z)) > α, α < 1. We find extreme points and then determine sharp lower bounds on Ref′(z) and Re(f(z)/z). Sharp results for the sequence of partial sums are also found.
Herb Silverman
wiley   +1 more source

Faber Polynomial Coefficients and Applications in Analytic Function Class

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Through this paper, by using the subordination definition, the ℘‐analogues Cătaş operator I℘nλ,I, complex order, and biunivalent functions with coefficients introduced by Faber polynomial expansion, we introduced the new class S℘,n∗f,λ,I,ξ,α,ϕ. A Faber polynomial is known as a sequence of polynomials that are used to approximate an analytic function on
Samar Mohamed, Fatma Z. El-Emam, Pramita Mishra   +2 more
wiley   +1 more source

Second Hankel determinant for a class of analytic functions defined by q-derivative operator

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we obtain the estimates for the second Hankel determinant for a class of analytic functions defined by q-derivative operator and subordinate to an analytic function.
Răducanu Dorina
doaj   +1 more source

Establishment of clinical criteria for the diagnosis of adverse food reactions in dogs with atopic dermatitis

Veterinary Dermatology, Volume 35, Issue 4, Page 418-431, August 2024.
Background – Diagnosis of canine adverse food reactions (AFRs) is based on vague criteria, such as ‘>50% improvement’ during elimination diet trial (EDT) followed by ‘deterioration’ during provocation test (PT). Objective – The objective of the study was to use predefined criteria to evaluate response during EDT [i.e., Owner Global Assessment of ...
Evi I. Sofou, Svetlina Aleksandrova, Manolis Chatzis, Elisa Samuel (Badulescu), Manolis N. Saridomichelakis   +4 more
wiley   +1 more source

Hankel determinants for q-starlike functions connected with q-sine function

Demonstratio Mathematica
This article comprises the study of a new class of starlike functions, which is defined by qq-fractional operator and subordination to the qq-analog of sine function.
Taj Yusra, Zainab Saira, Xin Qin, Tchier Fairouz, Malik Sarfraz Nawaz   +4 more
doaj   +1 more source

Initial Coefficient Estimates for Bi‐Univalent Functions Related to Generalized Telephone Numbers

Journal of Mathematics, Volume 2024, Issue 1, 2024.
This study defines three novel classes of bi‐univalent functions connected to generalized telephone numbers for the first time. We produced assessments about the Taylor–Maclaurin coefficients |a2| and |a3| and Fekete–Szegö functional problems for functions involving these novel subclasses for functions in every one regarding these three bi‐univalent ...
Gangadharan Murugusundaramoorthy, Kaliappan Vijaya, Sunil Dutt Purohit, Shyamsunder, Daya Lal Suthar, Ming-Sheng Liu   +5 more
wiley   +1 more source

A new family of multivalent functions defined by certain forms of the quantum integral operator

Demonstratio Mathematica
In this work, using the concepts of qq-calculus, we first define the qq-Jung-Kim-Srivastava and qq-Bernardi integral operators for multivalent functions. Then, we use these operators to establish the generalized integral operator ℬq,p−m−λf(z){{\mathcal{ {
Khan Ajmal, Al-shbeil Isra, Shatarah Amani, Alrayes Norah Mousa, Khan Shahid, ul Haq Wasim   +5 more
doaj   +1 more source

Bounds on the Third Order Hankel Determinant for Certain Subclasses of Analytic Functions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
Let A be the class of analytic functions f(z) in the unit disc ∆ = {z ∈ C : |z| < 1g with the Taylor series expansion about the origin given by f(z) = z+ ∑n=2∞ anzn, z ∈∆ : The focus of this paper is on deriving upper bounds for the third order Hankel ...
Vijayalakshmi S.P., Sudharsan T.V., Breaz Daniel, Subramanian K.G.   +3 more
doaj   +1 more source