A certain q -Ruscheweyh type derivative operator and its applications involving multivalent functions

Advances in Difference Equations

article

Khan, Bilal¹  Srivastava, H. M.²  Arjika, Sama⁶  Khan, Shahid⁸  Khan, Nazar⁹  Ahmad, Qazi Zahoor^1,10 

[1] School of Mathematical Sciences and Shanghai Key Laboratory of PMMP, East China Normal University;Department of Mathematics and Statistics, University of Victoria;Department of Medical Research, China Medical University Hospital, China Medical University;Department of Mathematics and Informatics, Azerbaijan University;Section of Mathematics, International Telematic University Uninettuno;Department of Mathematics and Informatics, University of Agadez;University of Abomey-Calavi;Department of Mathematics, Riphah International University;Department of Mathematics, Abbottabad University of Science and Technology;Government Akhtar Nawaz Khan (Shaheed) Degree College KTS

关键词: Analytic functions;    Multivalent (or p -valent) functions;    Hadamard product (or convolution);    q -Derivative (or q -Difference) operator;    q -Analogue of Ruscheweyh’s derivative operator;    Differential subordination;   

DOI  :  10.1186/s13662-021-03441-6

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In the present paper, by using the concept of convolution and q-calculus, we define a certain q-derivative (or q-difference) operator for analytic and multivalent (or p-valent) functions. This presumably new q-derivative operator is an extension of the known q-analogue of the Ruscheweyh derivative operator. We also give some interesting applications of this q-derivative operator for multivalent functions by using the method of differential subordination. Relevant connections with a number of earlier works on this subject are also pointed out.

【 授权许可】

CC BY