The aim of present research is to define and analyze some new families of holomorphic mappings related to the conic domain. Different techniques and tools are employed to investigate these families including differential subordination, Bernardi integral operator, Carlson-Shaffer linear operator, hypergeometric mapping, convolution operator, real and the complex orders. These families are extensively explored by studying their coefficient bounds, arc length problems, covering results, integral representations, inclusion results, radius of convexity problems, necessary conditions, growth rate of coefficients, distortion results, subordination results, convolution preserving properties and Fekete-Szegö inequality. Numerous well-known results appear as special cases for the different choices of parameter from our main results. Our investigation also contains a sound relationship between the results presented here with the results which are already available in the literature.
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