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

Muhammad Naeem, Saqib Hussain, Shahid Khan, Tahir Mahmood, Maslina Darus and Zahid Shareef
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Muhammad Naeem: Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 44000, Pakistan
Saqib Hussain: Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus 22060, Pakistan
Shahid Khan: Department of Mathematics, Riphah International University Islamabad, Islamabad 44000, Pakistan
Tahir Mahmood: Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 44000, Pakistan
Maslina Darus: Faculty of Science and Technology, University Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
Zahid Shareef: Mathematics and Natural Science, Higher Colleges of Technology, Fujairah Men’s, Fujairah 4114, UAE

Mathematics, 2020, vol. 8, issue 3, 1-13

Abstract: 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 ? k , q [ ? , ? ] . 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.

Keywords: analytic functions; Janowski functions; conic domain; q -convex functions; q -close-to-convex functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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