In the present paper, we have established sufficient conditions for Gaus-sian hypergeometric functions to be in certain subclass of analytic univalent functions in the unit disc $mathcal{U}$. Furthermore, we investigate several mapping properties of Hohlov linear operator for this subclass and also examined an integral operator acting on hypergeometric functions.

Abstract Boundedness of the maximal operator and Calderón–Zygmund singular integral operators in central Morrey–Orlicz spaces were proved papers (Maligranda et al. Colloq Math 138:165–181, 2015; Maligranda Tohoku J 72:235–259, 2020) by second third authors. The weak-type estimates have also been proven. Here we show boundedness Riesz potential corresponding version.

In this paper, we propose the approximate solution of fractional diffusion equation described by a non-singular derivative. We use Atangana-Baleanu-Caputo derivative in our studies. The integral balance methods as heat method introduced Goodman and double developed Hristov have been used for getting solution. existence uniqueness provided. analyze impact operator process. represent graphically ...

in this paper, the maximal dissipative extensions of a symmetric singular 1d discrete hamiltonian operator with maximal deficiency indices (2,2) (in limit-circle cases at ±∞) and acting in the hilbert space ℓ_{ω}²(z;c²) (z:={0,±1,±2,...}) are considered. we consider two classes dissipative operators with separated boundary conditions both at -∞ and ∞. for each of these cases we establish a self...

Assume that $mathbb{D}$ is the open unit disk. Applying Ozaki's conditions, we consider two classes of locally univalent, which denote by $mathcal{G}(alpha)$ and $mathcal{F}(mu)$ as follows begin{equation*}  mathcal{G}(alpha):=left{fin mathcal{A}:mathfrak{Re}left( 1+frac{zf^{prime prime }(z)}{f^{prime }(z)}right) <1+frac{alpha }{2},quad 0<alphaleq1right}, end{equation*} and begin{equation*}  ma...