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

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

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

2020
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Overview
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.