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Differential Subordination and Superordination Results Using Fractional Integral of Confluent Hypergeometric Function
- Source :
- Symmetry, Vol 13, Iss 327, p 327 (2021), Symmetry, Volume 13, Issue 2
- Publication Year :
- 2021
- Publisher :
- MDPI AG, 2021.
-
Abstract
- Both the theory of differential subordination and its dual, the theory of differential superordination, introduced by Professors Miller and Mocanu are based on reinterpreting certain inequalities for real-valued functions for the case of complex-valued functions. Studying subordination and superordination properties using different types of operators is a technique that is still widely used, some studies resulting in sandwich-type theorems as is the case in the present paper. The fractional integral of confluent hypergeometric function is introduced in the paper and certain subordination and superordination results are stated in theorems and corollaries, the study being completed by the statement of a sandwich-type theorem connecting the results obtained by using the two theories.
- Subjects :
- Subordination (linguistics)
Pure mathematics
Physics and Astronomy (miscellaneous)
General Mathematics
subordinant
02 engineering and technology
univalent function
01 natural sciences
analytic function
best subordinant
0202 electrical engineering, electronic engineering, information engineering
Computer Science (miscellaneous)
0101 mathematics
dominant
Mathematics
best dominant
Confluent hypergeometric function
lcsh:Mathematics
010102 general mathematics
differential superordination
Differential operator
lcsh:QA1-939
Dual (category theory)
Chemistry (miscellaneous)
differential operator
020201 artificial intelligence & image processing
differential subordination
Differential (mathematics)
Analytic function
Univalent function
Subjects
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 13
- Issue :
- 327
- Database :
- OpenAIRE
- Journal :
- Symmetry
- Accession number :
- edsair.doi.dedup.....91a5c35c104b85e4c24020c5f5b0a7c6