TY - JOUR AU - Parihar, Hari Singh AU - Agarwal, Ritu PY - 2017/03/23 Y2 - 2024/03/28 TI - A class of multivalent functions defined by generalized Ruscheweyh derivatives involving a general fractional derivative operator JF - Proyecciones (Antofagasta, On line) JA - Proyecciones (Antofagasta, On line) VL - 33 IS - 2 SE - DO - 10.4067/S0716-09172014000200005 UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1287 SP - 189-204 AB - <em style="font-size: small; text-align: justify;">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 src="http://www.scielo.cl/fbpe/img/proy/v33n2/form4.1.jpg" alt="" width="93" height="30" />. Also we apply the Fractional calculus techniques to obtain the applications of the class </em><img style="font-size: small; text-align: justify;" src="http://www.scielo.cl/fbpe/img/proy/v33n2/form4.1.jpg" alt="" width="93" height="30" /><span style="font-size: small; text-align: justify;">. </span><em style="font-size: small; text-align: justify;">Finally, the familiar concept of δ-neighborhoods of p-valent functions for above mentioned class are employed.</em> ER -