Coefficient estimates for a certain class of analytic and bi-univalent functions defined by fractional derivative

Coefficient bounds for subclasses of m-fold symmetric bi-univalent functions

“…For a brief history and examples of functions in the class Σ , see [11] (see also [3,8,9,14] In fact, the aforecited work by Srivastava et al [11] essentially revived the investigation of various subclasses of the bi-univalent function class Σ in recent years; it was followed by such works as those by Ali et al [2], Srivastava et al [12], and Jahangiri and Hamidi [7](see also [1,4,6,10], and the references cited in each of them).…”

On subclasses of bi-convex functions defined by Tremblay fractional derivative operator

“…Coefficient bounds for various subclasses of bi-univalent functions were obtained by several authors including Ali et al [2], Caglar et al [3], Deniz [4], Kumar et al [10], Magesh and Yamini [12], Srivastava et al [17], [18], [22], Sümer Eker [1], [23], [24]. In fact, judging by the remarkable flood of papers on the subject, the pioneering work of Srivastava et al [19] appears to have revived the study of analytic and bi-univalent functions in recent years.…”

On a new subclass of bi-univalent functions defined by using Salagean operator

“…In recent years, the aforementioned study of Srivastava et al [11] essentially revived the investigation of various subclasses of the bi-univalent function class Σ ; it was followed by such studies as those by Ali et al [2], Srivastava et al [12], and Jahangiri and Hamidi [7] (see also [1,4,6], and the references cited in each of them).…”