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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Universidad Católica del Norte, Departamento de Matemáticas
2014
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oai:scielo:S0716-091720140002000052018-10-30A class of multivalent functions defined by generalized Ruscheweyh derivatives involving a general fractional derivative operatorSingh Parihar,HariAgarwal Malaviya,Ritu Starlike function p-valent function Convolution Generalized fractional derivative operator Generalized Ruscheweyh derivatives 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.33 n.2 20142014-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172014000200005en10.4067/S0716-09172014000200005 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Starlike function p-valent function Convolution Generalized fractional derivative operator Generalized Ruscheweyh derivatives |
| spellingShingle |
Starlike function p-valent function Convolution Generalized fractional derivative operator Generalized Ruscheweyh derivatives Singh Parihar,Hari Agarwal Malaviya,Ritu A class of multivalent functions defined by generalized Ruscheweyh derivatives involving a general fractional derivative operator |
| description |
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. |
| author |
Singh Parihar,Hari Agarwal Malaviya,Ritu |
| author_facet |
Singh Parihar,Hari Agarwal Malaviya,Ritu |
| author_sort |
Singh Parihar,Hari |
| title |
A class of multivalent functions defined by generalized Ruscheweyh derivatives involving a general fractional derivative operator |
| title_short |
A class of multivalent functions defined by generalized Ruscheweyh derivatives involving a general fractional derivative operator |
| title_full |
A class of multivalent functions defined by generalized Ruscheweyh derivatives involving a general fractional derivative operator |
| title_fullStr |
A class of multivalent functions defined by generalized Ruscheweyh derivatives involving a general fractional derivative operator |
| title_full_unstemmed |
A class of multivalent functions defined by generalized Ruscheweyh derivatives involving a general fractional derivative operator |
| title_sort |
class of multivalent functions defined by generalized ruscheweyh derivatives involving a general fractional derivative operator |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2014 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172014000200005 |
| work_keys_str_mv |
AT singhpariharhari aclassofmultivalentfunctionsdefinedbygeneralizedruscheweyhderivativesinvolvingageneralfractionalderivativeoperator AT agarwalmalaviyaritu aclassofmultivalentfunctionsdefinedbygeneralizedruscheweyhderivativesinvolvingageneralfractionalderivativeoperator AT singhpariharhari classofmultivalentfunctionsdefinedbygeneralizedruscheweyhderivativesinvolvingageneralfractionalderivativeoperator AT agarwalmalaviyaritu classofmultivalentfunctionsdefinedbygeneralizedruscheweyhderivativesinvolvingageneralfractionalderivativeoperator |
| _version_ |
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