Univalence and Convexity Properties for Gaussian Hypergeometric Functions
By Saminathan Ponnusamy, Matti Vuorinen. 2001
121 citations recorded by the source corpus.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/719a34b69b2e0d931e787713fad5109fc392c548
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Saminathan Ponnusamy
- Huo Tang
- Erhan Deniz
- Shuhai Li
- Anbhu Swaminathan
- Hari M. Srivastava
- 'Arp'ad Baricz
- Sarita Agrawal
In Geometry and Topology
- Hari M. Srivastava
- Anbhu Swaminathan
- Saminathan Ponnusamy
- 'Arp'ad Baricz
- Huo Tang
- Erhan Deniz
- Shuhai Li
- Sarita Agrawal
Citations in the corpus
- A generalization of starlike functions of order alpha (2014, unknown): “Basic background knowledge on the order of starlikeness of the well-known Gauss hypergeometric functions can be found in [15, 21, 23, 24, 25, 29].”
- CERTAIN SUFFICIENCY CONDITIONS ON GAUSSIAN HYPERGEOMETRIC FUNCTIONS (2004, background): “We refer to [3, 17, 29, 27, 20, 21, 25] and references therein for some important results.”
- Mapping Properties of Hypergeometric Functions and Convolutions of Starlike or Convex Functions of Order α (2004, background): “Further results on the order of starlikeness of z 7→ zF (a, b, c, z) can be found in [1], [2], [11] and [13].”
- Starlikeness and convexity of generalized Bessel functions (2010, result): “Email: bariczocsi@yahoo.com ISSN 1065-2469 print/ISSN 1476-8291 online © 2010 Taylor & Francis DOI: 10.1080/10652460903516736 http://www.informaworld.com Vuorinen, the first author in a series of papers [3–5,7,8] has extended and complemented the results of Selinger.”
- Third-Order Differential Superordination Involving the Generalized Bessel Functions (2015, background): “In fact, the function B κf(z) is an elementary transform of the generalized hypergeometric function defined by (see [20], [24], [25], [27] to [29]; see also [17] and [18])”
- Geometric properties of generalized Bessel functions (2008, methodology): “1 were obtained by Ponnusamy and Vuorinen [20], [21] for Gaussian and confluent hypergeometric functions.”
- On a generalization of starlike functions (2018, background): “Basic results on the order of starlikeness of the Gaussian hypergeometric functions can be found in [9,15,18, 22, 24, 26].”