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Double Subordination Preserving Properties for a New Generalized Srivastava-Attiya Integral Operator

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Chinese Annals of Mathematics,Series B 2012年第4期33卷 569-582页

作者： Jugal K.prajapat Teodor BULBOACA Department of Mathematics Central University of Rajasthan NH-8 Bandar Sindri Kishangarh Dist-Ajmer-305801 Rajasthan India. Faculty of Mathematics and Computer Science Babes-Bolyai University 400084 Cluj-Napoca Romania.

The authors obtain subordination and superordination preserving properties for a new defined generalized operator involving the Srivastava-Attiya integral operator. Differential sandwich-type theorems for these unival... 详细信息

关键词： Differential subordination and superordination Analytic functions Univalent functions Starlike functions Convex functions Srivastava-Attiya integral operator Hypergeometric functions

Linear stability of triple-diffusive convection in micropolar ferromagnetic fluid saturating porous medium

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Applied Mathematics and Mechanics(English Edition) 2013年第3期34卷 309-326页

作者： S. chand Department of Mathematics Shaheed Captain Vikram Batra Government College

The triple-diffusive convection in a micropolar ferromagnetic fluid layer heated and soluted from below is considered in the presence of a transverse uniform magnetic field. An exact solution is obtained for a flat fluid layer contained between two free boundaries. A linear stability analysis and a normal mode analysis method are carried out to study the onset convection. For stationary convection, various parameters such as the medium permeability, the solute gradients, the non-buoyancy magnetization, and the micropolar parameters （i.e., the coupling parameter, the spin diffusion parameter, and the micropolar heat conduction parameter） are analyzed. The critical magnetic thermal Rayleigh number for the onset of instability is determined numerically for a sufficiently large value of the buoyancy magnetization parameter M1. The principle of exchange of stabilities is found to be true for the micropolar fluid heated from below in the absence of the micropolar viscous effect, the microinertia, and the solute gradients. The micropolar viscous effect, the microinertia, and the solute gradient introduce oscillatory modes, which are non-existent in their absence. Sufficient conditions for the non-existence of overstability are also obtained.

关键词： triple-diffusive convection micropolar ferromagnetic fluid porous medium,solute gradient medium permeability magnetization

Enhanced visible-light photocatalytic activity of samarium-doped zinc oxide nanostructures

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Journal of Rare Earths 2020年第1期38卷 29-38页

作者： Sukriti Prakash chand Vishal Singh Department of Physics National Institute of TechnologyKurukshetra 136119India Centre for Materials Science&Engineering National Institute of TechnologyHamirpur 177005India

In the present work,we have synthesized samarium doped zinc oxide nanostructures(Zn1-xSmxO;x=0.00,0.02,0.04 and 0.06) via chemical precipitation method and studied their structural,morphological,optical and photocatalytic properties.X-ray diffraction(XRD) patterns,PL and Raman spectra results indicate that the undoped and Sm-doped ZnO nanostructures are crystallized in a hexagonal wurtzite *** images show that the morphology of the sample changes from cubical to hexagonal nanostructures with increase in Sm3+doping *** EDX spectra confirm the incorporation of Sm3+ion in *** influence of Sm3+doping on the structure,morphology,absorption,emission and photocatalytic activity of ZnO nanostructures were investigated *** addition of Sm3+ion leads to a red shift in the optical energy band gap from 3.19 to 2.67 eV and hence,increases the visible light absorption *** presence of E2(H) and E1(LO) modes in microRaman spectra confirms the crystallinity and defects in the *** detailed photocatalytic experiments reveal that Sm-doped ZnO nanostructures show the maximum photodegradation efficiency for Methylene blue(MB) dye for x=0.04,i,e.,94.94%,under visible light *** photocatalytic efficiency improves by 6.98 times when ZnO is doped with rare earth metal ion(Sm3+) and is a potential candidate for practical *** investigation demonstrates that as-synthesized nano-sized photocatalysts act as an efficient photocatalyst for the degradation of MB dye.

关键词： Photocatalysis Sm-doped ZnO FESEM Micro-Raman UV-Visible spectroscopy Rare earths

Energy Spectra of the Coulomb Perturbed Potential in N-Dimensional Hilbert Space

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Chinese Physics Letters 2012年第6期29卷 35-38页

作者： Ramesh Kumar Fakir chand Department of Physics Kurukshetra UniversityKurukshetra-136119India

We deal with the solutions to the radial Schr(o)dinger equation for the Coulomb perturbed potential in Ndimensional Hilbert space by using two methods,*** power series technique via a suitable ansatz to the wavefunction and the Virial *** expressions for eigenvalues and normalized eigenfunctions are derived.A recursion relation among series expansion coefficients,a condition for convergence of series and interdimensional degeneracies are also *** special cases,the problem is solved in 3 and 4 dimensions with some specific parameter *** obtained analytical and numerical results are in good agreement with the results of other studies.

关键词： dimensions normalized perturbed

Insight into solute-solute and solute-solvent interactions of semicarbazide hydrochloride in water and D-glucose/D-sucrose+water solutions at temperatures(293.15 to 318.15)K

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Chinese Journal of Chemical Engineering 2020年第12期28卷 3086-3095页

作者： Ankita Dinesh chand Anil Kumar Nain Department of Chemistry Dyal Singh CollegeUniversity of DelhiNew Delhi 110003India Department of Chemistry University of DelhiDelhi 110007India Department of Chemistry Amity University Dubai CampusDubai International Academic CityDubaiUAE

The solute-solute and solute-solvent interactions of drug semicarbazide hydrochloride with carbohydrates(Dglucose/D-sucrose)are investigated by using volumetric,viscometric and acoustic *** measurements of the densitiesρ,ultrasonic speeds u,and viscositiesη.of semicarbazide hydrochloride in 5% and 10%D-glucose/D-sucrose+water(w/w)solutions were carried out at temperatures(293.15-318.15)K and at pressure,p=101 *** apparent molar volumes,Vϕ,limiting apparent molar volumes,V°ϕ,apparent molar compressibilities,Ks,ϕ,limiting apparent molar compressibilities,K°s;ϕ,partial molar expansibilities,E°ϕ,transfer volumes,V°ϕ;tr and transfer compressibilities,K°s;ϕ;tr have been calculated from the experimental *** viscosity data were examined by using the Jones-Dole equation and the viscosity A and B coefficients were *** results are discussed in terms of solute-solute and solute-solvent interactions in these *** structure making/breaking ability of semicarbazide hydrochloride is examined using the sign of temperature derivative of Bcoefficient,dB/dT.

关键词： Density Ultrasonic speed Viscosity Semicarbazide hydrochloride Carbohydrates Solute-solvent interactions

Solutions of the Schrdinger Equation for PT-Symmetric Coupled Quintic Potentials in Two Dimensions

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Communications in Theoretical Physics 2011年第9期56卷 419-422页

作者： Savita Fakir chand Department of Physics TERIKurukshetra-136119India Department of Physics Kurukshetra University Kurukshetra-136119India

This paper deals with the solutions of time independent Schrodinger wave equation for a two-dimensional PT-symmetric coupled quintic potential in its most general form. Employing wavefunction ansatz method, general analytic expressions for eigenvalues and eigenfunctions for first four states are obtained. Solutions of a particular case are also presented.

关键词： Schrodinger equation quintic potential PT-syrametry eigenvalue eigenfunction

Soil organic carbon and phosphorus availability regulate abundance of culturable phosphate-solubilizing bacteria in paddy fields

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Pedosphere 2020年第3期30卷 405-413页

作者： Arvind KUMAR Lal chand RAI Molecular Biology Section Laboratory of Algal BiologyCenter of Advanced Study in BotanyBanaras Hindu UniversityVaranasi 221005India Department of Biotechnology Guru Ghasidas VishwavidyalayaBilaspur 495009India

Low availability of phosphorus(P) is a major constraint for optimal crop production, as P is mostly present in its insoluble form in soil. Therefore,phosphate-solubilizing bacteria(PSB) from paddy field soils of the Indo-Gangetic Plain, India were isolated, and their abundance was attempted to be correlated with the physicochemical characteristics of the soils. Ninety-four PSB were isolated on Pikovskaya’s agar medium, and quantitative phosphate solubilization was evaluated using NBRIP medium. The isolates solubilized P up to a concentration of 1 006 μg mL-1 from tricalcium phosphate with the secretion of organic acids. These isolates were identified by 16 S rRNA gene sequence comparison, and they belonged to Gammaproteobacteria(56 isolates),Firmicutes(28 isolates), Actinobacteria(8 isolates), and Alphaproteobacteria(2 isolates). Phylogenetic analysis confirmed the identification by clustering the isolates in the clade of the respective reference organisms. The correlation analysis between PSB abundance and physicochemical characteristics revealed that the PSB population increased with increasing levels of soil organic carbon, insoluble P, K+, and Mg2+. The promising PSB explored in this study can be further evaluated for their biofertilizer potential in the field and for their use as potent bio-inoculants.

关键词： bacterial abundance insoluble P organic acids phosphate solubilization phylogenetic analysis 16S rRNA gene

Structural, Optical, and Ferroelectric Behaviors of Cu_(1-x)Li_xO(0≤x≤0.09) Nanostructures

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Acta Metallurgica Sinica(English Letters) 2014年第2期27卷 306-312页

作者： Prakash chand Anurag Gaur Ashavani Kumar Department of Physics National Institute of Technology Kurukshetra

We report structural, optical, and ferroelectric behaviors of lithium-doped copper oxide （CU1-xLixO with x = 0.0, 0.05, 0.07, and 0.09） nanostructures synthesized by hydrothermal method. The XRD pattern indicates the pure phase formation of CuO without any impurity, and the crystallite size is found to be increases for x = 0-0.07 and decreases for x = 0.09. FESEM analysis shows that the average size of Cul xLixO nanostructures increases with the increasing the Li-doping concentrations up to 7% and then decreases for 9% Li doping concentration. Moreover, Raman and photoluminescence spectrum also confirm the phase formation of CuO. A significant reduction in optical band gap is observed up to x = 0.07, and then band gap increases for x ~ 0.09 due to segregation of the impurities on the surface or grain boundaries, which may suppress the grain growth and results the enhancement in optical band gap. Moreover, a weak ferroelectricity is observed in CuO nanostructures for pure and 9% Li doping through polarization versus electric field （P- E）.

关键词： CuO nanostructure Optical properties PL and Raman spectroscopy

Asymptotic Study to the N-Dimensional Radial Schrdinger Equation for the Quark-Antiquark System

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Communications in Theoretical Physics 2013年第5期59卷 528-532页

作者： Ramesh Kumar Fakir chand Department of Physics Kurukshetra University

Here an asymptotic study to the N-dimensional radial Schrdinger equation for the quark-antiquark interaction potential employing asymptotic iteration method via an ansatz to the wavefunction is carried out. The complete energy spectra of the consigned system is obtained by computing and adding energy eigenvalues for ground state, for large " r" and for small " r". From this analysis, the mass spectra of heavy quarkonia is derived in three dimensions. Our analytical and numerical results are in good correspondence with other experimental and theoretical studies.

关键词： N-dimensional radial Schrodinger equation quarkonium potential eigenvalue eigenfunction