Let $f$ be a locally univalent function on the unit disk $U$. We consider the normalized extensions of $f$ to the Euclidean unit ball $B^nsubseteqmathbb{C}^n$ given by $$Phi_{n,gamma}(f)(z)=left(f(z_1),(f'(z_1))^gammahat{z}right),$$  where $gammain[0,1/2]$, $z=(z_1,hat{z})in B^n$ and $$Psi_{n,beta}(f)(z)=left(f(z_1),(frac{f(z_1)}{z_1})^betahat{z}right),$$ in which $betain[0,1]$, $f(z_1)neq 0$ a...

Let$mathbb{C}^n$ be the space of $n$ complex variables. Let$Omega_{n,p_2,ldots,p_n}$ be a complete Reinhardt on$mathbb{C}^n$. The Minkowski functional on complete Reinhardt$Omega_{n,p_2,ldots,p_n}$ is denoted by $rho(z)$. The concept ofspirallike mapping of type $beta$ and order $alpha$ is defined.So, the concept of the strong and almost spirallike mappings o...

(Received) Exact diagonalizations of two dimensional small t–J clusters reveal dominant hole-hole correlations at distance √ 2 (ie between holes on next nearest neighbor sites). A new form of singlet d x 2 −y 2 pair operator is proposed to account for the spatial extention of the two hole-bound pair beyond nearest neighbor sites.

The results contained in this paper are the result of a study regarding fractional calculus combined with classical theory differential subordination established for analytic complex valued functions. A new operator is introduced by applying Libera integral and order λ Many properties obtained newly defined using famous lemmas proved important scientists concerned geometric function theory, suc...

New measurement by CELSIUS-WASA Collaboration on the pp → pnπ+ reaction reveals clear evidence for the presence of the Roper resonance N∗(1440) which has been ignored in previous theoretical calculations. In this article, based on an effective Lagrangian approach and available knowledge on the Roper resonance, we investigate the role of the Roper resonance for the pp → pnπ+ reaction. It is foun...