Results 1 to 10 of about 47 (46)

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

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

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

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

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

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

On a subclass of multivalent functions defined by generalized multiplier transformation

Open Mathematics
The objective of this study is to establish a novel category of multivalent analytic functions by utilizing generalized multiplier transformations. The subclass is further examined for coefficient estimations, growth and distortion theorems, extreme ...
Alharayzeh Ma’moun I. Y.
doaj   +1 more source

Estimates of logarithmic coefficients of univalent functions

, 1992
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 311-318, 1993.
Stephen M. Zemyan
wiley   +1 more source

Coefficient functionals for Sakaguchi-type-Starlike functions subordinated to the three-leaf function

Demonstratio Mathematica
A challenging part of studying geometric function theory is figuring out the sharp boundaries for coefficient-related problems that crop up in the Taylor-Maclaurin series of univalent functions.
Murugusundaramoorthy Gangadharan, Lupas Alina Alb, Alburaikan Alhanouf, El-Deeb Sheza M.   +3 more
doaj   +1 more source