Carathéodory properties of Gaussian hypergeometric function associated with differential inequalities in the complex plane
DOI10.3934/MATH.2021759OpenAlexW3200126579MaRDI QIDQ2142883
Publication date: 30 May 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2021759
analytic functionconvex functionunivalent functionGaussian hypergeometric functionbest subordinantdifferential superordinationLöwner chainsubordinant
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generating functions for the generalized Gauss hypergeometric functions
- Inclusion properties of a subclass of analytic functions defined by an integral operator involving the Gauss hypergeometric function
- Extended hypergeometric and confluent hypergeometric functions
- Sandwich-type theorems for multivalent functions associated with the Srivastava-Attiya operator
- On the radius of univalence of the function \(\exp z^2 \int\limits_0^z \exp (-t^2)dt\)
- A proof of the Bieberbach conjecture
- On the order of starlikeness of hypergeometric functions
- Differential subordinations and univalent functions
- Second order differential inequalities in the complex plane
- Special issue: Applied and computational topics in partial differential equations. Papers from the 2nd Panamerican workshop on applied and numerical mathematics, Gramado, Brazil, September 8--12, 1997
- Systems of simultaneous differential inequalities, inclusions and subordinations in the complex plane
- New criteria for Carathéodory functions
- Starlike Hypergeometric Functions
- Univalence of Gaussian and Confluent Hypergeometric Functions
- A Simple Proof of Livingston's Inequality for Caratheodory Functions
- Certain Subclasses of Analytic Functions Associated with the Generalized Hypergeometric Function
- Subordinants of differential superordinations
- Strong differential sandwich results of l-pseudo-starlike functions with respect to symmetrical points
- Sufficient conditions for Carathéodory functions
- Systems of simultaneous differential containments and superordinations in the complex plane
- Sufficient conditions for Carathéodory functions and applications to univalent functions
- INCLUSION PROPERTIES OF A CLASS OF FUNCTIONS INVOLVING THE DZIOK-SRIVASTAVA OPERATOR
- The radius of univalence of the error function
- Differential inequalities and Carathéodory functions
- Differential inequalities and Carathéodory functions
- Sufficient conditions for Carathéodory functions
- Sufficient conditions for Carathéodory functions
- Differential inequalities and Carathéodory functions
- Unified approach to univalency of the Dziok-Srivastava and fractional calculus operators
This page was built for publication: Carathéodory properties of Gaussian hypergeometric function associated with differential inequalities in the complex plane
