
<abstract><p>The objective of the current examination is to present new sub-classes of $ q $-convex and $ q $-starlike functions inside $ \mathcal E = \left\{z\in\mathbb C: \left|z\right| < 1\right\} $, by $ q $-difference operator. We determined connections of these classes and acquired a few fundamental properties, for instance, inclusion relation, subordination properties and $ q $-limits on real part.</p></abstract>
Subordination (linguistics), Geometry, subordination, q-number, Univalent Functions, Operator (biology), Biochemistry, Gene, Convex function, QA1-939, FOS: Mathematics, convolution, second-order q-differential, Applied Mathematics, FOS: Clinical medicine, Geometric Function Theory and Complex Analysis, Pure mathematics, Linguistics, Nonlocal Partial Differential Equations and Boundary Value Problems, FOS: Philosophy, ethics and religion, Regular polygon, Philosophy, Chemistry, analytic functions, Combinatorics, Dentistry, Physical Sciences, FOS: Languages and literature, Repressor, Medicine, Geometry and Topology, Transcription factor, Calculus (dental), Mathematics
Subordination (linguistics), Geometry, subordination, q-number, Univalent Functions, Operator (biology), Biochemistry, Gene, Convex function, QA1-939, FOS: Mathematics, convolution, second-order q-differential, Applied Mathematics, FOS: Clinical medicine, Geometric Function Theory and Complex Analysis, Pure mathematics, Linguistics, Nonlocal Partial Differential Equations and Boundary Value Problems, FOS: Philosophy, ethics and religion, Regular polygon, Philosophy, Chemistry, analytic functions, Combinatorics, Dentistry, Physical Sciences, FOS: Languages and literature, Repressor, Medicine, Geometry and Topology, Transcription factor, Calculus (dental), Mathematics
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