Some applications of differential subordination and the Dziok-Srivastava convolution operator

DOI10.1016/J.AMC.2013.12.065zbMath1410.30016OpenAlexW1995533992MaRDI QIDQ1644088

Hai-Gen Xiao, Qing-Hua Xu, Hari M. Srivastava

Publication date: 21 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.12.065

zbMATH Keywords

starlike and convex functionsanalytic and univalent functionsHadamard product (or convolution)subordination between analytic functionsCarlson-Shaffer and Dziok-Srivastava convolution operatorsfox-wright hypergeometric functiongeneralized Pochhammer's symbolSrivastava-wright operator

Mathematics Subject Classification ID

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)

Related Items (15)

Third-order differential subordination and superordination involving a fractional operator ⋮ Harmonic function with correlated coefficients ⋮ Classes of harmonic functions defined by convolution ⋮ Subordinations by \(\eta\)-convex functions for a class of nonlinear integral operators ⋮ Unnamed Item ⋮ Some subclasses of meromorphically multivalent functions associated with the Dziok-Srivastava operator ⋮ Third-order differential sandwich-type results involving the Liu-Owa integral operator ⋮ INCLUSION PROPERTIES OF A CLASS OF FUNCTIONS INVOLVING THE DZIOK-SRIVASTAVA OPERATOR ⋮ Third-order differential superordination involving the generalized Bessel functions ⋮ Criteria for a certain class of the Carathéodory functions and their applications ⋮ Third order differential subordination and superordination results for analytic functions involving the Hohlov operator ⋮ Some properties of certain class of analytic functions ⋮ Certain admissible classes of multivalent functions ⋮ Bounds of coefficients for classes of analytic functions related to hypergeometric functions ⋮ Applications of third order differential subordination and superordination involving generalized struve function

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