Sufficiency for nephroid starlikeness using hypergeometric functions
From MaRDI portal
Publication:6181819
DOI10.1002/mma.8113zbMath1527.30015arXiv2104.04890OpenAlexW4220849132MaRDI QIDQ6181819
Anbhu Swaminathan, Lateef Ahmad Wani
Publication date: 20 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.04890
hypergeometric functionsstarlike functionsdifferential subordinationlemniscate of Bernoullinephroid domain
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) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Starlike functions associated with a cardioid
- Sufficient conditions for starlike functions associated with the lemniscate of Bernoulli
- Radii of starlikeness associated with the lemniscate of Bernoulli and the left-half plane
- Differential subordination for functions associated with the lemniscate of Bernoulli
- A subclass of starlike functions associated with a rational function
- On confluent hypergeometric functions and generalized Bessel functions
- Subordinations for functions with positive real part
- Sufficient conditions for hypergeometric functions to be in a certain class of analytic functions
- Starlikeness and convexity results for hypergeometric functions
- On the order of starlikeness of the shifted Gauss hypergeometric function
- A proof of the Bieberbach conjecture
- On the order of starlikeness of hypergeometric functions
- Radius problems for starlike functions associated with the sine function
- Starlike functions associated with exponential function and the lemniscate of Bernoulli
- Coefficient estimates for a general subclass of analytic and bi-univalent functions of the Ma-Minda type
- Mapping properties of hypergeometric functions and convolutions of starlike or convex functions of order \(\alpha\)
- Upper bound of the third Hankel determinant for a subclass of \(q\)-starlike functions associated with the \(q\)-exponential function
- On Booth lemniscate and starlike functions
- Coefficient inequalities for \(q\)-starlike functions associated with the Janowski functions
- Starlike functions and higher order differential subordinations
- Radius problems for functions associated with a nephroid domain
- Systems of simultaneous differential inequalities, inclusions and subordinations in the complex plane
- On a subclass of strongly starlike functions associated with exponential function
- Differential subordinations and Pythagorean means
- Criteria for a certain class of the Carathéodory functions and their applications
- Coefficient bounds and differential subordinations for analytic functions associated with starlike functions
- New results for some generalizations of starlike and convex functions
- Exponential starlikeness and convexity of confluent hypergeometric, Lommel, and Struve functions
- Starlike and convex functions associated with a nephroid domain
- Certain Ma-Minda type classes of analytic functions associated with the crescent-shaped region
- A generalized conic domain and its applications to certain subclasses of analytic functions
- Certain class of starlike functions associated with modified sigmoid function
- Extensions of the classical theorems for very well-poised hypergeometric functions
- Connections between various subclasses of planar harmonic mappings involving hypergeometric functions
- Inclusion theorems of convolution operators associated with normalized hypergeometric functions
- Sufficiency for hypergeometric transforms to be associated with conic regions
- A subclass of starlike functions associated with left-half of the lemniscate of Bernoulli
- Integral transform and fractional derivative formulas involving the extended generalized hypergeometric functions and probability distributions
- Coefficient estimates for some families of bi-Bazilevič functions of the Ma-Minda type involving the Hohlov operator
- Univalence of Gaussian and Confluent Hypergeometric Functions
- Univalent and Starlike Generalized Hypergeometric Functions
- Starlike functions associated with a lune
- Differential subordination and radius estimates for starlike functions associated with the Booth lemniscate
- Starlikeness associated with lemniscate of Bernoulli
- Inclusion properties of hypergeometric type functions and related integral transforms
- Sufficient Conditions and Radius Problems for a starlike Class Involving a Differential Inequality
- Some expansions of functions based upon two sequences of hypergeometric polynomials
- Some properties of analytic functions associated with fractional q-calculus operators
- Star-likeness associated with the exponential function
- Applications of first order differential subordination for functions with positive real part
- Convexity of the incomplete beta functions
- Lemniscate and exponential starlikeness of regular Coulomb wave functions
- Some general families of q-starlike functions associated with the Janowski functions
