THE INCOMPLETE GENERALIZED τ-HYPERGEOMETRIC AND SECOND τ-APPELL FUNCTIONS

Parmar, Rakesh Kumar,Saxena, Ram Kishore Korean Mathematical Society 2016 대한수학회지 Vol.53 No.2

Motivated mainly by certain interesting recent extensions of the generalized hypergeometric function [Integral Transforms Spec. Funct. 23 (2012), 659-683] and the second Appell function [Appl. Math. Comput. 219 (2013), 8332-8337] by means of the incomplete Pochhammer symbols $({\lambda};{\kappa})_{\nu}$ and $[{\lambda};{\kappa}]_{\nu}$, we introduce here the family of the incomplete generalized ${\tau}$-hypergeometric functions $2{\gamma}_1^{\tau}(z)$ and $2{\Gamma}_1^{\tau}(z)$. The main object of this paper is to study these extensions and investigate their several properties including, for example, their integral representations, derivative formulas, Euler-Beta transform and associated with certain fractional calculus operators. Further, we introduce and investigate the family of incomplete second ${\tau}$-Appell hypergeometric functions ${\Gamma}_2^{{\tau}_1,{\tau}_2}$ and ${\gamma}_2^{{\tau}_1,{\tau}_2}$ of two variables. Relevant connections of certain special cases of the main results presented here with some known identities are also pointed out.

Recent Progress on Block-Based Motion Estimation Techniques

Parmar, Nidhi Kunal,Sunwoo, Myung Hoon Taylor Francis 2015 IETE TECHNICAL REVIEW Vol.32 No.5

Nano-photocatalysts in microfluidics, energy conversion and environmental applications.

Parmar, Jemish,Jang, Seungwook,Soler, Llu?s,Kim, Dong-Pyo,S?nchez, Samuel Royal Society of Chemistry 2015 Lab on a chip Vol.15 No.11

<P>Extensive studies have been carried out on photocatalytic materials in recent years as photocatalytic reactions offer a promising solution for solar energy conversion and environmental remediation. Currently available commercial photocatalysts still lack efficiency and thus are economically not viable for replacing traditional sources of energy. This article focuses on recent developments in novel nano-photocatalyst materials to enhance photocatalytic activity. Recent reports on optofluidic systems, new synthesis of photocatalytic composite materials and motile photocatalysts are discussed in this article.</P>

Photocatalytic and photoelectrochemical water oxidation over metal-doped monoclinic BiVO(4) photoanodes.

Parmar, Kanak Pal Singh,Kang, Hyun Joon,Bist, Amita,Dua, Piyush,Jang, Jum Suk,Lee, Jae Sung Wiley-VCH 2012 ChemSusChem Vol.5 No.10

<P>The visible-light-induced water oxidation ability of metal-ion-doped BiVO(4) was investigated and of 12 metal ion dopants tested, only W and Mo dramatically enhanced the water photo-oxidation activity of bare BiVO(4); Mo had the highest improvement by a factor of about six. Thus, BiVO(4) and W- or Mo-doped (2 atom %) BiVO(4) photoanodes about 1 μm thick were fabricated onto transparent conducting substrate by a metal-organic decomposition/spin-coating method. Under simulated one sun (air mass 1.5G, 100 mW cm(-2)) and at 1.23 V versus a reversible hydrogen electrode, the highest photocurrent density (J(PH)) of about 2.38 mA cm(-2) was achieved for Mo doping followed by W doping (J(PH) ? 1.98 mA cm(-2)), whereas undoped BiVO(4) gave a J(PH) value of about 0.42 mA cm(-2). The photoelectrochemical water oxidation activity of W- and Mo-doped BiVO(4) photoanodes corresponded to the incident photon to current conversion efficiency of about 35 and 40 % respectively. Electrochemical impedance spectroscopy and Mott-Schottky analysis indicated a positive flat band shift of about 30 mV, a carrier concentration 1.6-2 times higher, and a charge-transfer resistance reduced by 3-4-fold for W- or Mo-doped BiVO(4) relative to undoped BiVO(4). Electronic structure calculations revealed that both W and Mo were shallow donors and Mo doping generated superior conductivity to W doping. The photo-oxidation activity of water on BiVO(4) photoanodes (undoped<W doped<Mo doped) was in accordance with the results from electrochemical impedance spectroscopy, Mott-Schottky analysis, and theoretical electronic structural calculations. Thus, Mo or W doping enhanced the photocatalytic and photoelectrochemical water oxidation activity of monoclinic BiVO(4) by drastically reducing its charge-transfer resistance and thereby minimizing photoexcited electron-hole pair recombination.</P>

Rapid (∼10 min) synthesis of single-crystalline, nanorice TiO₂ mesoparticles with a high photovoltaic efficiency of above 8%

Parmar, K. P. S.,Ramasamy, Easwaramoorthi,Lee, Jinwoo,Lee, Jae Sung Royal Society of Chemistry 2011 Chemical communications Vol.47 No.30

<P>A novel rapid (∼10 min) microwave-hydrothermal synthesis is demonstrated for nanorice TiO<SUB>2</SUB> mesoparticles as an anode of a dye-sensitized solar cell with an excellent photovoltaic efficiency of above 8%.</P> <P>Graphic Abstract</P><P>A novel rapid synthesis is reported for single-crystalline, nanorice TiO<SUB>2</SUB> mesoparticles with an excellent photovoltaic efficiency of above 8%. <IMG SRC='http://pubs.rsc.org/services/images/RSCpubs.ePlatform.Service.FreeContent.ImageService.svc/ImageService/image/GA?id=c1cc12150b'> </P>

Formation of high concentrations of isolated Zn vacancies and evidence for their acceptor levels in ZnO

Parmar, Narendra S.,Choi, Ji-Won,Boatner, Lynn A.,McCluskey, Matthew D.,Lynn, Kelvin G. Elsevier 2017 JOURNAL OF ALLOYS AND COMPOUNDS Vol.729 No.-

<P><B>Abstract</B></P> <P>Research is described here that is directed toward obtaining <I>p</I>-type ZnO crystals either by doping or by creating native defects. Theoretically, zinc vacancies are shallow acceptors that should allow for <I>p</I>-type conduction. Bulk ZnO crystals can be grown by chemical vapor transport (CVT), melt solidification, and hydrothermal methods. Here we have explored annealing processes with the goal of creating zinc vacancies in bulk ZnO crystals. Positron annihilation spectra reveal the reproducible formation of high concentrations (>10<SUP>20</SUP> cm<SUP>−3</SUP>) of isolated zinc vacancies (<I>V</I> <SUB>Zn</SUB>) in oxygen-annealed, CVT-grown ZnO crystals in the ∼100–150 nm near-surface. Melt- and hydrothermally grown samples, in contrast, show insignificant levels of zinc vacancy creation. Photoluminescence (PL) emission spectra indicate a <I>V</I> <SUB>Zn</SUB>(0/-1) acceptor level at ∼ 155–165 meV; red PL (∼1.7 eV) emission, related to the <I>V</I> <SUB>Zn</SUB>(-1/-2) level, was also observed. Infrared absorption spectroscopy reveals the presence of a zinc vacancy complex with a hole binding energy range of 420–450 meV – and with a continuum suggesting a <I>p</I>-type region. XPS measurements support the deficiency of Zn after oxygen annealing the CVT-grown ZnO single crystal.</P> <P><B>Highlights</B></P> <P> <UL> <LI> CVT, hydrothermally and Melt-grown ZnO crystals were investigated. </LI> <LI> Isolated V<SUB>Zn</SUB> > 10<SUP>20</SUP> cm<SUP>−3</SUP> were formed in oxygen annealed CVT ZnO crystals. </LI> <LI> PL emission indicate a V<SUB>Zn</SUB>(0/-1) acceptor level at ∼ 155–165 meV. </LI> <LI> FTIR reveals zinc vacancy complex with a hole binding energy ∼ 420–450 meV. </LI> <LI> XPS data support the deficiency of Zn in oxygen annealed CVT ZnO crystals. </LI> </UL> </P> <P><B>Graphical abstract</B></P> <P>[DISPLAY OMISSION]</P>

Synthesis and Antibacterial Evaluation of Some Novel 2-Arylamino-4-phenyl-thiazolyl Derivatives

Parmar, Kokila A.,Suthar, Bharat G.,Parajapati, Sarju Korean Chemical Society 2010 Bulletin of the Korean Chemical Society Vol.31 No.4

A series of 2-aminothiazoles derivatives have been synthesized and tested for in vitro antibacterial activity on different microorganisms. Syntheses have been carried out following simple methodology in excellent isolated yields. The structure and purity of the original compounds were confirmed by IR, NMR, Mass spectroscopy, and elemental analysis. All compounds were tested for antibacterial activity against S. aureus, S. pyogenes, E. coli, P. aeruginosa, S. typhi and V. parahaemolyticus. These preliminary results indicate that some of compounds are exhibiting good activity.

Rapid Spectrophotometric Determination of Trace Amounts of Cyanide and Hydrogen Cyanide Using p-Aminoacetanilide in Various Samples

Parmar, Prachi,Pillai, Ajai Kumar,Gupta, Vinay Kumar Korean Chemical Society 2010 대한화학회지 Vol.54 No.1

INCOMPLETE EXTENDED HURWITZ-LERCH ZETA FUNCTIONS AND ASSOCIATED PROPERTIES

Parmar, Rakesh K.,Saxena, Ram K. Korean Mathematical Society 2017 대한수학회논문집 Vol.32 No.2

Motivated mainly by certain interesting recent extensions of the generalized hypergeometric function [Integral Transforms Spec. Funct. 23 (2012), 659-683] by means of the incomplete Pochhammer symbols $({\lambda};{\kappa})_{\nu}$ and $[{\lambda};{\kappa}]_{\nu}$, we first introduce incomplete Fox-Wright function. We then define the families of incomplete extended Hurwitz-Lerch Zeta function. We then systematically investigate several interesting properties of these incomplete extended Hurwitz-Lerch Zeta function which include various integral representations, summation formula, fractional derivative formula. We also consider an application to probability distributions and some special cases of our main results.

Formulation and development of embelin liquisolid systems using quality by design approach

Komal Parmar,Jayvadan Patel,Navin Sheth 한국약제학회 2016 Journal of Pharmaceutical Investigation Vol.46 No.6

The purpose of the present investigation was to improve dissolution properties of poorly water soluble herbal active ingredient, Embelin (EMB) by formulating liquisolid systems. The new mathematical model was employed for the preparation of the liquisolid systems. Drug loaded liquisolid systems were optimized by utilizing design of experiments (DoE) and principal component analysis (PCA) with carrier-coating ratio (X1) and drug concentration in liquid (X2) as factors. Angle of repose and percentage drug release in 30 min were selected as dependent variables. The liquisolid systems were prepared using Solutol HS-15 in combination of Synperonic PE/ L61 in ratio of 1:1 as non-volatile liquid, Neusilin US2 as carrier and Aerosil 200 as coating material. The relationship between dependent and independent variables were further explicated through regression analysis and response surface plots. Prepared systems were characterized by Fourier transform infrared spectroscopy, differential scanning calorimetry and powder X-ray diffraction studies. Invitro dissolution results revealed significant enhancement in drug release properties from the formulations. Physicochemical characterization of liquisolid systems proposed reduction in drug crystallinity which might be ascribed for improvement in dissolution properties. Study demonstrated successful utilization of Solutol HS-15 in combination of Synperonic PE/L61 for dissolution enhancement of EMB.