Analytic functions associated with Caputos fractional differentiation defined by Hilbert space operator
نویسندگان
چکیده
In this paper, we introduce a new class of functions which are analytic and univalent with negative coefficients defined by using certain fractional operators described in the Caputo sense. Characterization property, the results on modified Hadamard product and integral transforms are discussed. Further, distortion theorem and radii of starlikeness and convexity are also determined here. Resumen. En este trabajo, presentamos una nueva clase de funciones que son anaĺıticas y univalente con coeficientes negativos, definidos usando ciertos operadores fraccionarios en el sentido de Caputo. Discutimos la propiedad de caracterización, los resultados sobre el producto de Hadamard modificado y transformaciones integrales. Además, determinamos el teorema de distorsión y los radios de “starlikeness” y convexidad.
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