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Mohammad Najafzadeh,Daniele Biagio Laucelli,Abdolreza Zahiri 대한토목학회 2017 KSCE Journal of Civil Engineering Vol.21 No.5
Prediction of critical velocity for sediment deposition is a significant component in design of sewer pipes. Because of the abrupt changes in velocity and shear stress distributions, traditional equations based on regression analysis can fail in evaluating sediment transport efficiently. Therefore, different artificial intelligence approaches have been applied to investigate sediment transport in sewer pipes. This study proposes two different approaches to predict the critical velocity for sediment deposition in sewer networks: Model Tree (MT) and the Evolutionary Polynomial Regression (EPR), a hybrid data-driven technique that combines genetic algorithms with numerical regression. The hydraulic radius, average size of sediments, volumetric concentration, total friction factor, and non-dimensional sediment size were considered as input parameters to characterize sediment transport in clean sewer pipes. The present study implements data collected from different works in literature. The proposed modeling approaches are compared to some benchmark formulas from literature, and discussed from the accuracy and knowledge discovery points of view, highlighting the advantage of both proposed techniques. Results indicated that both techniques have similar accuracy in predictions, but EPR allows to physical validation of returned formulas, allowing identifying the most influent inputs on the phenomenon at stake.
Ebadian, Ali,Aghalary, Rasoul,Najafzadeh, Shahram Department of Mathematics 2010 Kyungpook mathematical journal Vol.50 No.4
A new class of univalent holomorphic functions with fixed finitely many coefficients based on Generalized fractional derivative are introduced. Also some important properties of this class such as coefficient bounds, convex combination, extreme points, Radii of starlikeness and convexity are investigated.
SOME EXTENSION RESULTS CONCERNING ANALYTIC AND MEROMORPHIC MULTIVALENT FUNCTIONS
Ebadian, Ali,Masih, Vali Soltani,Najafzadeh, Shahram Korean Mathematical Society 2019 대한수학회보 Vol.56 No.4
Let $\mathscr{B}^{{\eta},{\mu}}_{p,n}\;({\alpha});\;({\eta},{\mu}{\in}{\mathbb{R}},\;n,\;p{\in}{\mathbb{N}})$ denote all functions f class in the unit disk ${\mathbb{U}}$ as $f(z)=z^p+\sum_{k=n+p}^{\infty}a_kz^k$ which satisfy: $$\|\[{\frac{f^{\prime}(z)}{pz^{p-1}}}\]^{\eta}\;\[\frac{z^p}{f(z)}\]^{\mu}-1\| <1-{\frac{\alpha}{p}};\;(z{\in}{\mathbb{U}},\;0{\leq}{\alpha}<p)$$. And $\mathscr{M}^{{\eta},{\mu}}_{p,n}\;({\alpha})$ indicates all meromorphic functions h in the punctured unit disk $\mathbb{U}^*$ as $h(z)=z^{-p}+\sum_{k=n-p}^{\infty}b_kz^k$ which satisfy: $$\|\[{\frac{h^{\prime}(z)}{-pz^{-p-1}}}\]^{\eta}\;\[\frac{1}{z^ph(z)}\]^{\mu}-1\|<1-{\frac{\alpha}{p}};\;(z{\in}{\mathbb{U}},\;0{\leq}{\alpha}<p)$$. In this paper several sufficient conditions for some classes of functions are investigated. The authors apply Jack's Lemma, to obtain this conditions. Furthermore, sufficient conditions for strongly starlike and convex p-valent functions of order ${\gamma}$ and type ${\beta}$, are also considered.
PSEUDO JORDAN HOMOMORPHISMS AND DERIVATIONS ON MODULE EXTENSIONS AND TRIANGULAR BANACH ALGEBRAS
( Ali Ebadian ),( Fariba Farajpour ),( Shahram Najafzadeh ) 호남수학회 2021 호남수학학술지 Vol.43 No.1
This paper considers pseudo Jordan homomorphisms on module extensions of Banach algebras and triangular Banach algebras. We characterize pseudo Jordan homomorphisms on module extensions of Banach algebras and triangular Banach algebras. Moreover, we define pseudo derivations on the above stated Banach algebras and characterize this new notion on those algebras.
Some extension results concerning analytic and meromorphic multivalent functions
Ali Ebadian,Vali Soltani Masih,Shahram Najafzadeh 대한수학회 2019 대한수학회보 Vol.56 No.4
Let $\mathscr{B}_{p,n}^{\upeta, \upmu}\left(\upalpha\right)$; $\left( \upeta, \upmu\in \mathbb{R}, n,p\in \mathbb{N}\right) $ denote all functions $f$ class in the unit disk $\mathbb{U}$ as $f(z)=z^p+\sum_{k=n+p}^{\infty}a_kz^k$ which satisfy: \begin{align*} & \left| \left[ \frac{f'(z)}{pz^{p-1}}\right]^{\upeta} \left[ \frac{z^p}{f(z)}\right] ^{\upmu}-1\right| <1-\frac{\upalpha}{p}; \quad \left( z\in \mathbb{U}, \: 0\leq \upalpha<p\right). \intertext{ And $\mathscr{M}_{p,n}^{\upeta,\upmu}\left(\upalpha\right)$ indicates all meromorphic functions $h$ in the punctured unit disk $\mathbb{U}^{\ast}$ as $h(z)=z^{-p}+\sum_{k=n-p}^{\infty}b_kz^k$ which satisfy:} & \left| \left[ \frac{h'(z)}{-pz^{-p-1}}\right]^{\upeta} \left[ \frac{1}{z^p h(z)}\right]^{\upmu}-1\right| <1-\frac{\upalpha}{p}; \quad \left( z\in \mathbb{U}, \: 0\leq \upalpha<p\right). \end{align*} In this paper several sufficient conditions for some classes of functions are investigated. The authors apply Jack's Lemma, to obtain this conditions. Furthermore, sufficient conditions for strongly starlike and convex $p$-valent functions of order $\gamma$ and type $\beta$, are also considered.