Janowski Type q -Convex and q -Close-to-Convex Functions Associated with q -Conic Domain

摘要

Certain new classes of q -convex and q -close to convex functions that involve the q -Janowski type functions have been defined by using the concepts of quantum (or q -) calculus as well as q -conic domain Ω k , q [ λ , α ] . This study explores some important geometric properties such as coefficient estimates, sufficiency criteria and convolution properties of these classes. A distinction of new findings with those obtained in earlier investigations is also provided, where appropriate.