Often referred to as special functions or mathematical functions, the origin of many members
of the remarkably vast family of higher transcendental functions can be traced back to such …

Named essentially after their close relationship with the modified Bessel function K ν (z) of
the second kind, which is known also as the Macdonald function (or, with a slightly different …

This paper deals with the fractional calculus of zeta functions. In particular, the study is
focused on the Hurwitz ζ function. All the results are based on the complex generalization of …

In this article, by making use of the q-Srivastava-Attiya operator, we introduce and
investigate a new family SW Σ (δ, γ, λ, s, t, q, r) of normalized holomorphic and bi-univalent …

In recent years, the usage of the q‐derivative and symmetric q‐derivative operators is
significant. In this study, firstly, many known concepts of the q‐derivative operator are …

By making use of the concept of basic (or q-) calculus, a subclass S⁎(L, q) of q-starlike
functions, which is associated with the q-exponential function, is introduced here in the open …

In this work, we construct a new kind of Bernstein–Schurer operators which includes non-
negative real parameter α α. We study some shape preserving properties, namely …

In this article, by employing the hyperbolic tangent function tanh z, a subfamily S tanh∗
S_\tanh^∗ of starlike functions in the open unit disk D⊂ CD⊂C: D= z: z∈ C and| z|< 1 …

In the present investigation, our aim is to define a generalized subclass of analytic and
biunivalent functions associated with a certain q-integral operator in the open unit disk U …

In this paper, we investigate several fuzzy differential subordinations that are connected with
the Borel distribution series B λ, α, β (z) of the Mittag-Leffler type, which involves the two …