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S. P. Goyal,R. Mukherjee,R. Jain 경북대학교 자연과학대학 수학과 2004 Kyungpook mathematical journal Vol.44 No.4
In the present paper, we establish a general theorem exhibiting a relationship existing between the Laplace transform and the generalized Weyl fractional integral operator (FIO) of related functions. This theorem is very general in nature and involves a multidimensional series with essentially arbitrary sequence of complex numbers. By suitably assigning different values to these sequences, one can easily evaluate the generalized Weyl fractional integral operator of special functions of several variables. References of known results which follow as special cases of our theorem are also cited. We have obtained here as applications of the theorem, the generalized Weyl fractional integral of(Srivastava-Daoust) generalized Lauricella function which gives a number of results involving special functions of one or more variables merely by specializing the parameters. The results recently obtained by R. Jain and M. A. Pathan and S. P. Goyal and Ritu Goyal,etc. follow as special cases of our main findings.
ULAM STABILITIES FOR IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS
S. D. Kadam,R. Menon,R. S. Jain,B. S. Reddy 경남대학교 수학교육과 2024 Nonlinear Functional Analysis and Applications Vol.29 No.1
In the present paper, we establish Ulam-Hyres and Ulam-Hyers-Rassias stabilities for nonlinear impulsive integro-differential equations with non-local condition in Banach space. The generalization of Grownwall type inequality is used to obtain our results.
Studies of hypro-mellose (HPMC) functionalized ZnS:Mn fluorescent quantum dots
Jain, A.,Jain, A.,Panwar, S.,Singh, R.,Singhal, M.,Sharma, J. K.,Ahuja, R.,Jeon, H. C.,Kang, T. W.,Kumar, S. Springer Science + Business Media 2017 Journal of materials science. Materials in electro Vol.28 No.2
<P>Fluorescent ZnS:Mn quantum dots coated with hypro-mellose (HPMC) were synthesized by using simple and facile chemical precipitation technique in which HPMC acts as a novel organic surfactant to passivate the surface, to tune the optical properties and also to functionalize the surface of quantum dot for a futuristic controlled drug release applications. Morphological and optical characterizations were done to see the effect of HPMC coating on ZnS: Mn quantum dots. Structural and morphological studies was done by using XRD and TEM respectively. XRD studies confirms the pure zinc blende phase for all the samples. TEM studies shows that HPMC is efficiently doing the surface passivation in doped quantum dots. Optical studies were done by using UV-visible, FTIR and time resolved photoluminescence. UV-visible studies shows that quantum confinement effect is more prominent and also tunable in case of HPMC coated manganese doped ZnS quantum dots. FTIR studies confirms the functionalization of HPMC on the surface of doped ZnS quantum dots. Laser induced time resolved photoluminescence studies were also done to see the effect of HPMC on the photoluminescence intensity of doped quantum dots. Time resolved studies clearly shows the much desired luminescence stability of the HPMC coated quantum dots. It is observed that both the structural and optical characteristics have strong dependence on capping concentration. As HPMC is a very important viscoelastic polymer and organic surfactant used in various types of drug formulations, these studies opens a new way in the area of efficient drug delivery, controlled drug release and targeting.</P>
Instant single-photon Fock state tomography.
Huisman, S R,Jain, Nitin,Babichev, S A,Vewinger, Frank,Zhang, A N,Youn, S H,Lvovsky, A I Optical Society of America 2009 Optics letters Vol.34 No.18
<P>Heralded single photons are prepared at a rate of approximately 100 kHz via conditional measurements on polarization-nondegenerate biphotons produced in a periodically poled potassium-titanyl phosphate crystal. The single-photon Fock state is characterized using high-frequency pulsed optical homodyne tomography with a fidelity of (57.6+/-0.1)%. The state preparation and detection rates allowed us to perform on-the-fly alignment of the apparatus based on real-time analysis of the quadrature measurement statistics.</P>
Vilarinho, S.,Choi, M.,Jain, D.,Malhotra, A.,Kulkarni, S.,Pashankar, D.,Phatak, U.,Patel, M.,Bale, A.,Mane, S.,Lifton, R.P.,Mistry, P.K. Elsevier Science Publishers 2014 Journal of hepatology Vol.61 No.5
Background & Aims: In children with liver failure, as many as half remain of indeterminate aetiology. This hinders timely consideration of optimal treatment options. We posit that a significant subset of these children harbour known inherited metabolic liver diseases with atypical presentation or novel inborn errors of metabolism. We investigated the utility of whole-exome sequencing in three children with advanced liver disease of indeterminate aetiology. Methods: Patient 1 was a 10year-old female diagnosed with Wilson disease but no detectable ATP7B mutations, and decompensated liver cirrhosis who underwent liver transplant and subsequently developed onset of neurodegenerative disease. Patient 2 was a full-term 2day-old male with fatal acute liver failure of indeterminate aetiology. Patient 3 was an 8year-old female with progressive syndromic cholestasis of unknown aetiology since age 3months. Results: Unbiased whole-exome sequencing of germline DNA revealed homozygous mutations in MPV17 and SERAC1 as the disease causing genes in patient 1 and 2, respectively. This is the first demonstration of SERAC1 loss-of-function associated fatal acute liver failure. Patient 1 expands the phenotypic spectrum of the MPV17-related hepatocerebral mitochondrial DNA depletion syndrome. Patient 3 was found to have syndromic cholestasis due to bi-allelic NOTCH2 mutations. Conclusions: Our findings validate the application of whole-exome sequencing in the diagnosis and management of children with advanced liver disease of indeterminate aetiology, with the potential to enhance optimal selection of treatment options and adequate counselling of families. Moreover, whole-exome sequencing revealed a hitherto unrecognized phenotypic spectrum of inherited metabolic liver diseases.
Measurements of Cesium Radioisotopes in Cesium Compounds
Y.D.Kim,U.K.Kang,J.M.Choi,H.K.Jang,R.K.Jain,S.C.Kim,S.K.Kim,T.Y.Kim,이현수,S.E.Lee,H.Park,I.H.Park,원은일,H.S.Won,H.Y.Yang,M.S.Yang,M.J.Hwang,H.J.Kim,Y.J.Kwon,J.H.Lee,I.S.Cho,D.H.Choi,S.H.Noh,I.T.Yu,J.H.Kim 한국물리학회 2002 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.40 No.3
We have measured impurity levels of radioactive isotopes, especially 137Cs and 134Cs , in various cesium compounds using HPGe detectors for the rst time. The 137Cs contamination levels of cesium iodide (CsI) powder samples that are commercially available were between 9.7 mBq/kg and 80 mBq/kg. With these levels of the contamination, 137Cs will be the most serious background source in the low energy region E < 100 keV for CsI crystal. An upper limit of the 137Cs contamination level in pollucite powder, from which CsI powders are extracted, was set to be 5.8 mBq/kg at a 90 % condence level. It should be possible to fabricate the CsI crystal with much less 137Cs contamination than the currently available CsI crystal.
Dark Matter Search Experiment with CsI(Tl) Crystal
김영덕,T. Y. Kim,D. H. Choi,J. M. Choi,한인식,M. J. Hwang,R. K. Jain,W. G. Kang,H. J. Kim,S. C. Kim,S. K. Kim,Y. J. Kwon,E. K. Lee,H. S. Lee,J. H. Lee,J. I. Lee,M. H. Lee,S. E. Lee,D. S. Lim,S. H. Noh,H. Pa 한국물리학회 2003 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.43 No.I
We are preparing an experiment for dark matter (WIMP) search using CsI(Tl) crystal. The detection threshold of a large CsI(Tl) crystal coupled with green extended PMTs was down to 2 keV, and the pulse shape discrimination power of the crystal shows better separation of nuclear recoil from background electron signals than NaI(Tl). With these characteristics, CsI(Tl) is another good material for WIMP search experiment. The disadvantage of CsI(Tl) is the internal background from cesium and rubicium ratioisotopes. In this report, the measurements and reduction of these ratioisotopes are described, and a perspective for the experiment is presented.
Electron-Electron Interactions based Metal-Insulator Transition in Ga Doped ZnO Thin Films
R V Muniswami Naidu,A Subrahmanyam,A Verger,M K Jain,S V N Bhaskara Rao,S N Jha,D M Phase 대한금속·재료학회 2012 ELECTRONIC MATERIALS LETTERS Vol.8 No.4
We report on the charge carrier transport mechanisms of undoped and Ga doped (2 wt. % and 4 wt. %)ZnO thin films grown by pulsed dc magnetron sputtering technique. Temperature dependent resistivity measurements showed typical semiconducting behaviour for undoped ZnO thin films where as Ga doped ZnO thin films showed metallic nature at higher temperatures and insulating nature with a metal to insulator transition at lower temperatures. The observed transition temperatures are 91 K and 140 K for 2 wt. % and 4 wt. %Ga doped ZnO films respectively. The observed metal insulator transition is attributed to the electron-electron interactions at low temperatures. The variations in the transition temperatures are explained based on the disorderness induced in the system due to the doping effect. ZnO doped with 4 wt. % Ga showed the lowest resistivity of 5.7 × 10−4Ω cm with a carrier concentration of 1.2 × 1021/cm3. Undoped and doped ZnO thin films are about 90% transparent in the visible region. Blue shift is observed in the absorption edge with the effect of doping and it is explained based on B-M shift. The Fermi level measured from valance band spectroscopy showed a shift of +0.6 eV for 2 wt. % Ga doped ZnO thin film and +0.7 eV for 4 wt. %Ga doped ZnO thin film compared to the Fermi edge of undoped ZnO thin films. This ascertains the movement of Fermi level in to the conduction band with the effect of doping.
EXISTENCE AND CONTROLLABILITY OF MILD SOLUTION OF IMPULSIVE INTEGRO-DIFFERENTIAL INCLUSIONS
S. D. Kadam,Surendranath Reddy,Radhika Menon,R. S. Jain 경남대학교 수학교육과 2020 Nonlinear Functional Analysis and Applications Vol.25 No.4
In this work, existence results for impulsive integro-differential inclusion by us-ing Martelli and Covitz-Nadler xed point theorems (FPT) has been studied and proposedimprovement for some of the results with the help of impulsive inequality. Also controllabil-ity results has been investigated for impulsive integro-dierential inclusion problems. This study will provide useful insights for design problems in engineering leading to controllability solutions of Integro dierential equation subjected to impulsive perturbations taking intoconsideration of nonlocal and delay conditions.