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CERTAIN RATIONAL FUNCTION OF SINGULAR MODULI FOUND IN RAMANUJAN'S FIRST NOTEBOOK
M. S. M. Naikai,C. Shivashankar,M. Harish 장전수학회 2015 Advanced Studies in Contemporary Mathematics Vol.25 No.1
On page 312 in his rst notebook, Ramanujan denes a certain rational function of singular moduli Un and records 11 explicit values of Un. All these values have been proved by using the known values of the class invariant gn. In this paper, we establish modular relation between certain rational function of singular moduli Un and Uk2n for k = 2; 3; 5; 7; 9 and 11. As an application, we also establish several new values of Un.
Harish Mudila,M.G.H. Zaidi,Sweta Rana,S. Alam 한국탄소학회 2016 Carbon Letters Vol.18 No.-
Sulphonated polysulphone (SPS) has been synthesized and subsequently applied as binder for graphene oxide (GO)-based electrodes for development of electrochemical supercapacitors. Electrochemical performance of the electrode was investigated using cyclic voltammetry in 1M Na2SO4 and 1M KOH solution. The fabricated supercapacitors gave a specific capacitance of 161.6 and 216.8 F/g with 215.4 W/kg and 450 W/kg of power density, in 1M Na2SO4 and 1M KOH solutions, respectively. This suggests that KOH is a better electrolyte than Na2SO4 for studying the electrochemical behavior of electroactive material, and also suggests SPS is a good binder for fabrication of a GO based electrode.
ON SOME P-Q MIXED MODULAR EQUATIONS OF DEGREE 5
M. S. MAHADEVA NAIKA,S. Chandankumar,M. Harish 장전수학회 2020 Proceedings of the Jangjeon mathematical society Vol.23 No.3
In his second notebook, Ramanujan recorded total of 23 P-Q modular equations in- volving theta-functions ρ(q), Ψ(q) and f(-q). In this paper, modular equations analogous to those recorded by Ramanujan are obtained involving f(-q). As a consequence, several values of quotients of theta-function are evaluated.
Electrochemical oxidation-reduction and determination of urea at enzyme free PPY-GO electrode
Harish Mudila,Parteek Prasher,Sweta Rana,Beena Khati,M.G.H. Zaidi 한국탄소학회 2018 Carbon Letters Vol.26 No.-
This manuscript explains the effective determination of urea by redox cyclic voltammetric analysis, for which a modified polypyrrole-graphene oxide (PPY-GO, GO 20% w/w of PPY) nanocomposite electrode was developed. Cyclic voltammetry measurements revealed an effective electron transfer in 0.1 M KOH electrolytic solution in the potential window range of 0 to 0.6 V. This PPY-GO modified electrode exhibited a moderate electrocatalytic effect towards urea oxidation, thereby allowing its determination in an electrolytic solution. The linear dependence of the current vs. urea concentration was reached using square-wave voltammetry in the concentration range of urea between 0.5 to 3.0 μM with a relatively low limit of detection of 0.27 μM. The scanning electron microscopy was used to characterize the morphologies and properties of the nanocomposite layer, along with Fourier transform infrared spectroscopy. The results indicated that the nanocomposite film modified electrode exhibited a synergistic effect, including high conductivity, a fast electron-transfer rate, and an inherent catalytic ability.
Electrosynthesis of copper phosphide thin films for efficient water oxidation
Pawar, Sambhaji M.,Pawar, Bharati S.,Babar, Pravin T.,Aqueel Ahmed, Abu Talha,Chavan, Harish S.,Jo, Yongcheol,Cho, Sangeun,Kim, Jongmin,Inamdar, Akbar I.,Kim, Jin Hyeok,Kim, Hyungsang,Im, Hyunsik Elsevier 2019 Materials letters Vol.241 No.-
<P><B>Abstract</B></P> <P>A copper phosphide (Cu<SUB>3</SUB>P) thin film is synthesized on a Ni foam using a one-step electrodeposition method at room temperature and annealed at 300 °C in Ar atmosphere. The Cu<SUB>3</SUB>P film is amorphous and has a flat morphology with surface voids. It works as an electrocatalyst for water oxidation in an alkaline 1 M KOH electrolyte. It exhibits excellent catalytic oxygen evolution reaction with an overpotential of 310 mV, Tafel slope of 88 mV/dec, and good stability over 20 h of operation at 10 mA/cm<SUP>2</SUP>. The excellent OER performance is due to its large electrochemically active surface area and low charge transfer resistance at the catalyst-electrolyte interface after the annealing.</P> <P><B>Highlights</B></P> <P> <UL> <LI> Amorphous copper phosphide OER catalyst is synthesized by one-step electrodeposition. </LI> <LI> A smooth morphology with surface void is obtained after annealing. </LI> <LI> An overpotential of 310 mV at 10 mA/cm<SUP>2</SUP> with a Tafel slope of 88 mV/dec is demonstrated. </LI> <LI> Excellent long-term electrochemical durability is observed. </LI> </UL> </P> <P><B>Graphical abstract</B></P> <P>[DISPLAY OMISSION]</P>
Pawar, Sambhaji M.,Pawar, Bharati S.,Babar, Pravin T.,Ahmed, Abu Talha Aqueel,Chavan, Harish S.,Jo, Yongcheol,Cho, Sangeun,Kim, Jongmin,Hou, Bo,Inamdar, Akbar I.,Cha, SeungNam,Kim, Jin Hyeok,Kim, Tae Elsevier 2019 APPLIED SURFACE SCIENCE - Vol.470 No.-
<P><B>Abstract</B></P> <P>Efficient and low‐cost multifunctional electrodes play a key role in improving the performance of energy conversion and storage devices. In this study, ultrathin nanoporous CuCo<SUB>2</SUB>O<SUB>4</SUB> nanosheets are synthesized on a nickel foam substrate using electrodeposition followed by air annealing. The CuCo<SUB>2</SUB>O<SUB>4</SUB> nanosheet electrode exhibits a high specific capacitance of 1473 F g<SUP>─1</SUP> at 1 A g<SUP>─1</SUP> with a capacity retention of ∼93% after 5000 cycles in 3 M KOH solution. It also works well as an efficient oxygen evolution reaction electrocatalyst, demonstrating an overpotential of 260 mV at 20 mA cm<SUP>─2</SUP> with a Tafel slope of ∼64 mV dec<SUP>─1</SUP>. in 1 M KOH solution, which is the lowest reported among other copper-cobalt based transition metal oxide catalysts. The catalyst is very stable at >20 mA cm<SUP>─2</SUP> for more than 25 h. The superior electrochemical performance of the CuCo<SUB>2</SUB>O<SUB>4</SUB> nanosheet electrode is due to the synergetic effect of the direct growth of 2D nanosheet structure and a large electrochemically active surface area associated with nanopores on the CuCo<SUB>2</SUB>O<SUB>4</SUB> nanosheet surface.</P> <P><B>Highlights</B></P> <P> <UL> <LI> Ultrathin nanoporous CuCo<SUB>2</SUB>O<SUB>4</SUB> nanosheets electrode synthesized by electrodeposition. </LI> <LI> High specific capacitance and good cycling stability were obtained. </LI> <LI> Highly efficient OER electrocatalyst with an overpotential of 260 mV at 20 mA/cm<SUP>2</SUP>. </LI> <LI> Excellent long-term electrochemical durability. </LI> </UL> </P> <P><B>Graphical abstract</B></P> <P>[DISPLAY OMISSION]</P>
Pawar, Sambhaji M.,Pawar, Bharati S.,Hou, Bo,Kim, Jongmin,Aqueel Ahmed, Abu Talha,Chavan, Harish. S.,Jo, Yongcheol,Cho, Sangeun,Inamdar, Akbar I.,Gunjakar, Jayavant L.,Kim, Hyungsang,Cha, SeungNam,Im, The Royal Society of Chemistry 2017 Journal of materials chemistry. A, Materials for e Vol.5 No.25
<P>A high activity of a two-dimensional (2D) copper oxide (CuO) electrocatalyst for the oxygen evolution reaction (OER) is presented. The CuO electrode self-assembles on a stainless steel substrate<I>via</I>chemical bath deposition at 80 °C in a mixed solution of CuSO4and NH4OH, followed by air annealing treatment, and shows a 2D nanosheet bundle-type morphology. The OER performance is studied in a 1 M KOH solution. The OER starts to occur at about 1.48 V<I>versus</I>the RHE (<I>η</I>= 250 mV) with a Tafel slope of 59 mV dec<SUP>−1</SUP>in a 1 M KOH solution. The overpotential (<I>η</I>) of 350 mV at 10 mA cm<SUP>−2</SUP>is among the lowest compared with other copper-based materials. The catalyst can deliver a stable current density of >10 mA cm<SUP>−2</SUP>for more than 10 hours. This superior OER activity is due to its adequately exposed OER-favorable 2D morphology and the optimized electronic properties resulting from the thermal treatment.</P>
M.T. Ranjith,ManiChellappan,E.R. Harish,D. Girija,P.A. Nazeemc 한국응용곤충학회 2016 Journal of Asia-Pacific Entomology Vol.19 No.2
Helicoverpa armigera (Hübner) (Lepidoptera: Noctuidae), a polyphagous agricultural pest of global importance, harbour diverse bacterial communities in its gut. We analysed the composition and diversity of gut bacteria using Illumina Next-Generation Sequencing of 16S ribosomal RNA amplicons. The data set consisted of 864,813 high-quality paired end sequences with mean length of 150 base pairs. Highly diverse bacterial communities were present in the sample containing approximately 2303 operational taxonomic units (OTUs). A total of 17 bacterial phyla, 34 classes, 84 orders, 173 families, 334 genera, and 707 species were identified from the sequence analysis. Actinobacteria was the most dominant groups, followed by Proteobacteria and Firmicutes. The search on function of different gut inhabiting bacteria of H. armigera revealed their role in nutrition, detoxification of lethal insecticide molecules, and defensive action against pathogens. Insecticidal toxin producing bacterial species were also found associated with the H. armigera gut.
Harish Kumar Nirala,Prashant K. Jain,J. J. Roy,M. K. Samal,Puneet Tandon 대한기계학회 2017 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.31 No.2
Incremental sheet forming (ISF) is a recently developed manufacturing technique. In ISF, forming is done by applying deformation force through the motion of Numerically controlled (NC) single point forming tool on the clamped sheet metal blank. Single Point Incremental sheet forming (SPISF) is also known as a die-less forming process because no die is required to fabricate any component by using this process. Now a day it is widely accepted for rapid manufacturing of sheet metal components. The formability of SPISF process improves by adding some intermediate stages into it, which is known as Multi-stage SPISF (MSPISF) process. However during forming in MSPISF process because of intermediate stages stepped features are generated. This paper investigates the generation of stepped features with simulation and experimental results. An effective MSPISF strategy is proposed to remove or eliminate this generated undesirable stepped features.