Results 41 to 50 of about 4,495,877 (113)

Schwarzian derivative and Janowski convexity [PDF]

, 2017
Sufficient conditions relating the Schwarzian derivative to the Janowski convexity of a normalized analytic function f are obtained. As a consequence, sufficient conditions are determined for the function f to be Janowski convex and convex of order α ...
BOHRA, Nisha, RAVICHANDRAN, V.
core   +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

New Coefficient Conditions for Functions Starlike with Respect to Symmetric Points [PDF]

, 2010
2000 Mathematics Subject Classification: Primary 30C45, secondary 30C80.We consider some familiar subclasses of functions starlike with respect to symmetric points and obtain sufficient conditions for these classes in terms of their Taylor coefficient ...
Ebadian, A., Aghalary, R.
core  

Application of Differential Subordinations to the Arithmetic–Geometric Means by Using an Operator

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This study investigates differential subordination involving arithmetic and geometric mean approaches associated with a previously introduced operator. While earlier studies considered cases where the dominant function was convex or linear, the present work extends these results by examining differential subordinations for specific classes of convex ...
Santosh Mandal, Madan Mohan Soren, Fethiye Müge Sakar, Daniel Breaz, Luminiţa-Ioana Cotîrlǎ, Çetin Yildiz   +5 more
wiley   +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

Some properties of a class of holomorphic functions associated with tangent function

Demonstratio Mathematica
In this study, we define new class of holomorphic functions associated with tangent function. Furthermore, we examine the differential subordination implementation results related to Janowski and tangent functions. Also, we investigate some extreme point
Khan Muhammad Ghaffar, Mashwani Wali Khan, Salleh Zabidin, Tchier Fairouz, Khan Bilal, Malik Sarfraz Nawaz   +5 more
doaj   +1 more source

Bi- Starlike function of complex order involving Rabotnov function subordinated to Lucas Balancing polynomial

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Considering the interesting results obtained recently by studying Rabotnov function, in this paper using the normalized Rabotnov function and the concept of subordination related with the Lucas Balancing polynomial, we defined two new subclasses of the ...
Vijaya K., Murugusundaramoorthy G., Breaz Daniel, Cotîrlă Luminiţa-Ioana   +3 more
doaj   +1 more source

Convolution features of univalent meromorphic functions generated by Barnes-Mittag-Leffler function

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
The Mittag-Leffler function plays an important role in Geometric Function Theory, particularly in the study of analytic and meromorphic function classes.
Yavuz Tuğba, Altınkaya Şahsene
doaj   +1 more source

Sufficient condition for Strongly Starlike and Convex Functions [PDF]

, 2014
2010 Mathematics Subject Classification: Primary 30C45; Secondary 30C80.In this paper, we obtain sufficient conditions for analytic functions f(z) in the open unit disk ∆ to be strongly starlike and strongly convex of order β and type α. Some interesting
Kargar, Rahim, Aghalary, Rasoul
core  

Some basic properties of certain subclasses of meromorphically starlike functions [PDF]

, 2014
SpringerOpenIn this paper, we introduce and investigate certain subclasses of meromorphically starlike functions. Such results as coefficient inequalities, neighborhoods, partial sums, and inclusion relationships are derived.
HM Srivastava, Zhi-Gang Wang, Yuan, Shao-Mou, Wang, Zhi-Gang, Shao-Mou Yuan, Srivastava, H.M.   +5 more
core   +1 more source