In this article we introduce three new subclasses of the class bi-univalent functions Σ, namely HGΣ, GMΣ(μ) and GΣ(λ), by using subordinations with whose coefficients are Gregory numbers. First, evidence that these classes not empty, i.e., they contain other besides identity one. For in each function classes, investigate estimates a2 a3 Taylor–Maclaurin Fekete–Szegő functional problems. The mai...

Abstract According to the theory of regular geometric functions, relevance geometry analysis is a critical feature. One significant tools study operators utilize convolution product. The dynamic techniques have attracted numerous complex analyses in current research. In this effort, an attempt made by utilizing said new linear operator connecting incomplete beta function and Hurwitz–Lerch zeta ...

In 2012, new classes of analytic functions on U×U¯ with coefficient holomorphic in U¯ were defined to give a approach the concepts strong differential subordination and superordination. Using those classes, extended Dziok–Srivastava operator is introduced this paper and, applying fractional integral operator, we obtain Dz−γHmlα1,β1 that was not previously studied using subordinations superordin...

The object of this article is to explore a ?-pseudo-?-convex ?-fold symmetric bi-univalent function family satisfying subordinations condition generalizing certain previously examined families. We originate the initial Taylor–Maclaurin coefficient estimates functions in defined family. classical Fekete–Szegö inequalities for also estimated. Furthermore, we present some special cases main result...