
In this paper, we employ a q-Noor integral operator to perform a q-analogue of certain fractional integral operator defined on an open unit disc. Then, we make use of the Hadamard convolution product to discuss several related results. Also, we derive a class of convex functions by utilizing the q-fractional integral operator and apply the inspired presented theory of the differential subordination, to geometrically explore the most popular differential subordination properties of the aforementioned operator. In addition, we discuss an exciting inclusion for the given convex class of functions. Over and above, we investigate the q-fractional integral operator and obtain some applications for the differential subordination.
Artificial neural network, Artificial intelligence, Hadamard product, Class (philosophy), Geometry, Operator (biology), Mathematical analysis, Biochemistry, Gene, Convolution (computer science), Convex function, FOS: Chemical sciences, Machine learning, QA1-939, FOS: Mathematics, Recent Developments in Ketene Dithioacetal Chemistry, Hadamard transform, Product (mathematics), Conformal Mapping, Physics, Organic Chemistry, Integral transform, Geometric Function Theory and Complex Analysis, Fractional calculus, Pure mathematics, Statistical and Nonlinear Physics, Computer science, Regular polygon, Chemistry, Physics and Astronomy, Physical Sciences, Repressor, Thermodynamics, Differential operator, Geometry and Topology, Differential (mechanical device), Transcription factor, Mathematics, Rogue Waves in Nonlinear Systems
Artificial neural network, Artificial intelligence, Hadamard product, Class (philosophy), Geometry, Operator (biology), Mathematical analysis, Biochemistry, Gene, Convolution (computer science), Convex function, FOS: Chemical sciences, Machine learning, QA1-939, FOS: Mathematics, Recent Developments in Ketene Dithioacetal Chemistry, Hadamard transform, Product (mathematics), Conformal Mapping, Physics, Organic Chemistry, Integral transform, Geometric Function Theory and Complex Analysis, Fractional calculus, Pure mathematics, Statistical and Nonlinear Physics, Computer science, Regular polygon, Chemistry, Physics and Astronomy, Physical Sciences, Repressor, Thermodynamics, Differential operator, Geometry and Topology, Differential (mechanical device), Transcription factor, Mathematics, Rogue Waves in Nonlinear Systems
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