Linear operators associated with k-uniformly convex functions

By Stanislawa Kanas, Hari M. Srivastava. 2000

213 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/ccd736600c9b95ebde194ea387de2bf27ac7b7e1

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In Geometry and Topology

Citations in the corpus

Subordination results for a class of analytic functions defined by a linear operator. (2006, background): “M AIN THEOREM Employing the techniques used earlier by Srivastava and Attiya [13], Attiya [1] and Singh [12], we state and prove the following theorem.”
Hypergeometric functions in the parabolic starlike and uniformly convex domains (2007, methodology): “The various properties of the function classes k-UCV and k-ST were investigated extensively by Kanas and Srivastava [7] and by Srivastava and Mishra [8].”
On a class of analytic functions related to conic domains involving q-calculus (2017, background): “Many works related to k-UCV and k-ST are investigated by Kanas in many of her papers (for related works of her, one may refer to [8], [10], [12], [14] and [22]).”
Application of Chebyshev polynomials to classes of analytic functions (2015, unknown): “The class k-ST is related to the class k-UCV by means of the well-known Alexander equivalence between the usual classes of convex CV and starlike ST functions (see also the works [1,8,10,7,12,13] concerning further developments involving each one of the classes k-UCV and k-ST ).”
Some class of analytic functions related to conic domains (2014, methodology): “An analytic characterization for the members of k-UCV was given in [7] (see also [8], [9], [6], [10] and [11] for related results).”
Uniformly Convex and Uniformly Starlike Functions (2011, background): “Several properties of uniformly convex functions extend to k − UCV functions; these properties are treated in [22, 23, 17, 19, 20, 21].”