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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 &#x0D;&#x0D;&#x0D;&#x0D;&#x0D;Ω&#x0D;&#x0D;k&#x0D;,&#x0D;q&#x0D;&#x0D;&#x0D;&#x0D;[&#x0D;λ&#x0D;,&#x0D;α&#x0D;]&#x0D;&#x0D;&#x0D;&#x0D;&#x0D;. 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.

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