Recently, a number of researchers from different fields have taken a keen interest in the
domain of fractional q-calculus on the basis of fractional integrals and derivative operators …

We present a new family of s-fold symmetrical bi-univalent functions in the open unit disc in
this work. We provide estimates for the first two Taylor–Maclaurin series coefficients for these …

In this paper, we introduce a special family M σ m (τ, ν, η, φ) of the function family σ m of m-
fold symmetric bi-univalent functions defined in the open unit disc D and obtain estimates of …

The object of this article is to explore a τ-pseudo-ν-convex κ-fold symmetric bi-univalent
function family satisfying subordinations condition generalizing certain previously examined …

We introduce and study a new pseudo-type κ-fold symmetric bi-univalent function class that
meets certain subordination conditions in this article. For functions in the newly formed class …

In this investigation, the q-difference operator and the Sălăgean q-differential operator are
utilized to establish novel subclasses of analytical bi-close-to-convex functions. We …

In this paper, we find upper bounds for the first two Taylor-Maclaurin $\left| a_ {m+ 1}\right| $
and $\left| a_ {2m+ 1}\right| $ for two new families $ L_ {\Sigma_m}(\delta,\gamma;\alpha) …

The Ruscheweyh derivative operator is used in this paper to introduce and investigate
interesting general subclasses of the function class Σ m of m-fold symmetric bi-univalent …

In this study, by using the concepts of subordination, we define a new family RM, N, λ, γ of
starlike functions of complex order γ connected with the cardioid domain. The main …

In the present paper, we define two new families $ K M_ {\Sigma_m}(\lambda,\gamma,\delta;
\alpha) $ and $ K M_ {\Sigma_m}^*(\lambda,\gamma,\delta;\beta) $ of holomorphic and m …