Bounded Nonlinear Functional Derived by the Generalized Srivastava-Owa Fractional Differential Operator
Author(s) -
Rabha W. Ibrahim
Publication year - 2013
Publication title -
international journal of analysis
Language(s) - English
Resource type - Journals
eISSN - 2314-4998
pISSN - 2314-498X
DOI - 10.1155/2013/542828
Subject(s) - mathematics , bounded function , fractional calculus , subordination (linguistics) , nonlinear system , operator (biology) , pure mathematics , hadamard transform , differential operator , class (philosophy) , mathematical analysis , philosophy , artificial intelligence , computer science , linguistics , physics , biochemistry , chemistry , repressor , quantum mechanics , transcription factor , gene
By making use of the generalized Srivastava-Owa fractional differential operator, a class of analytical functions is imposed. The sharp bound for the nonlinear functional associated with the Hankel determinant is computed. We consider a new technique to prove our results. Important properties such as inclusion, subordination, and Hadamard product are studied. Some recent results are included
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