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Differential inequalities imposed by the extended hypergeometric function

Recently, the generalized hypergeometric function is extended by utilizing the Beta function. Based on this type of function, we introduce a new operator in the open unit disk. The present article investigates some subordination and superordination results for certain normalized analytic functions i...

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Detalles Bibliográficos
Autores principales: Ibrahim, Rabha W., Ahmad, M. Z., Al-Janaby, Hiba F.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4808075/
https://www.ncbi.nlm.nih.gov/pubmed/27066382
http://dx.doi.org/10.1186/s40064-016-1996-9
Descripción
Sumario:Recently, the generalized hypergeometric function is extended by utilizing the Beta function. Based on this type of function, we introduce a new operator in the open unit disk. The present article investigates some subordination and superordination results for certain normalized analytic functions in the open unit disk, which are acted upon by the generalized Noor integral operator. Some of outcomes improve and generalize previously known outcomes.