Inclusion properties for certain subclasses of analytic functions defined by using the generalized Bessel functions
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DOI:
https://doi.org/10.26637/mjm303/015Abstract
By making use of the operator \(B_\nu^c\) defined by the generalized Bessel functions of the first kind, the authors introduce and investigate several new subclasses of starlike, convex, close-to-convex and quasi-convex functions. The authors establish inclusion relationships associated with the aforementioned operator. Some interesting corollaries and consequences of the main inclusion relationships are also considered.
Keywords:
Analytic functions, Starlike functions, Convex functions, Close-to-convex functions, Quasi-convex functions, Generalized Bessel functionsMathematics Subject Classification:
30C45, 33C10, 33C90- Pages: 360-367
- Date Published: 01-07-2015
- Vol. 3 No. 03 (2015): Malaya Journal of Matematik (MJM)
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