Differential inequalities imposed by the extended hypergeometric function

作者：Ibrahim Rabha W; Ahmad M Z; Al Janaby Hiba F

来源：SpringerPlus, 2016, 5(1): 375.

DOI：10.1186/s40064-016-1996-9

• Analytic function
• Univalent function
• Integral operator
• Subordination
• Superordination
• Hypergeometric function
• Unit disk

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.

• 出版日期2016-3-25