A class of multivalent functions defined by generalized Ruscheweyh derivatives involving a general fractional derivative operator
The main aim of the present paper is to obtain a new class of multivalent functions which is defined by making use of the generalized Ruscheweyh derivatives involving a general fractional derivative operator.We study the region of starlikeness and convexity of the class <img width=93 height=30 sr...
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| Autores principales: | , |
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| Lenguaje: | English |
| Publicado: |
Universidad Católica del Norte, Departamento de Matemáticas
2014
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| Materias: | |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172014000200005 |
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| Sumario: | The main aim of the present paper is to obtain a new class of multivalent functions which is defined by making use of the generalized Ruscheweyh derivatives involving a general fractional derivative operator.We study the region of starlikeness and convexity of the class <img width=93 height=30 src="http:/fbpe/img/proy/v33n2/form4.1.jpg">. Also we apply the Fractional calculus techniques to obtain the applications of the class <img width=93 height=30 src="http:/fbpe/img/proy/v33n2/form4.1.jpg">. Finally, the familiar concept of δ-neighborhoods of p-valent functions for above mentioned class are employed. |
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