INTEGRAL REPRESENTATIONS OF THE k-BESSEL'S FUNCTION

Gehlot, Kuldeep Singh,Purohit, Sunil Dutt The Honam Mathematical Society 2016 호남수학학술지 Vol.38 No.1

This paper deals with the study of newly defined special function known as k-Bessel's function due to Gehlot [2]. Certain integral representations of k-Bessel's function are investigated. Known integrals of classical Bessel's function are seen to follow as special cases of our main results.

INTEGRAL REPRESENTATIONS OF THE k-BESSEL`S FUNCTION

( Kuldeep Singh Gehlot ),( Sunil Dutt Purohit ) 호남수학회 2016 호남수학학술지 Vol.38 No.1

This paper deals with the study of newly defined special function known as k-Bessel`s function due to Gehlot [2]. Certain integral representations of k-Bessel`s function are investigated. Known integrals of classical Bessel`s function are seen to follow as special cases of our main results.

Spatio-Temporal Variability of Rainfall Indices and their Teleconnections with El Niño-Southern Oscillation for Tapi Basin, India

Gehlot Lalit Kumar,Jibhakate Shubham M.,Sharma Priyank J.,Patel P. L.,Timbadiya P. V. 한국기상학회 2021 Asia-Pacific Journal of Atmospheric Sciences Vol.57 No.1

The long-term spatio-temporal variability in twelve rainfall indices across Tapi basin are investigated for period 1944–2013. The temporal trends in aforesaid indices, representing magnitude, intensity, frequency and duration of rainfall, are analysed using nonparametric tests. The total annual rainfall exhibit uniformly increasing trends over Lower Tapi basin (LTB), while heterogeneous trends are observed across Upper (UTB) and Middle (MTB) Tapi basins. The rainy days portrays decreasing trends at 75% stations in the basin, while rainfall intensity displays increasing trends across LTB and UTB. On other hand, LTB and Purna sub-catchment (in UTB) show coherent increasing trends in extreme rainfall, while decreasing trends are observed over Burhanpur sub-catchment (in UTB) and MTB. A considerable increase in duration of dry spells is reported at 92.5% stations in the basin, indicating a marked shift towards drier climatic regime. Further, Principal Component Analysis (PCA) is carried out to address the space-time variability of rainfall indices. The results of PCA were adopted in cluster analysis to identify the stations exhibiting similar characteristic variations in rainfall trends. The hydroclimatic teleconnections between rainfall indices and large-scale oceanic-atmospheric circulations of the tropical Pacific Ocean (viz., El Niño-Southern Oscillation) revealed the prevalence of wet conditions in the basin during moderate to strong La-Niña, while dry conditions were encountered during moderate to strong El-Niño and weak La-Niña events. The spatial estimates of rainfall indices are derived corresponding to 2-, 10- and 50-year return periods which would be helpful in hydrologic design and risk assessment of rainfall-induced disasters in near future.

An in vitro evaluation of the accuracy of four electronic apex locators using stainless-steel and nickel-titanium hand files

Gehlot, Paras Mull,Manjunath, Vinutha,Manjunath, Mysore Krishnaswamy The Korean Academy of Conservative Dentistry 2016 Restorative Dentistry & Endodontics Vol.41 No.1

Objectives: The purpose of this in vitro study was to evaluate the accuracy of working length (WL) determination of four electronic apex locators (EALs), namely, Root ZX (RZX), Elements diagnostic unit and apex locator (ELE), SybronEndo Mini Apex locator (MINI) and Propex pixi (PIXI) using Stainless steel (SS) and nickel-titanium (NiTi) hand files. The null hypothesis was that there was no difference between canal length determination by SS and NiTi files of 4 EALs. Materials and Methods: Sixty extracted, single rooted human teeth were decoronated and the canal orifice flared. The actual length (AL) was assessed visually, and the teeth were embedded in an alginate model. The electronic length (EL) measurements were recorded with all four EALs using SS and NiTi files at '0.5' reading on display. The differences between the AL and EL were compared. Results: The results obtained with each EAL with SS and NiTi files were compared with AL. A paired sample t test showed that there was a statistical significant difference between EAL readings with SS and NiTi files for RZX and MINI (p < 0.05). The accuracy of RZX, ELE, MINI and PIXI within ${\pm}0.5 mm$ of AL with SS/NiTi files were 93.3%/70%, 90%/91.7%, 95%/68.3%, and 83.3%/83.3%, respectively. Conclusions: The results of this study indicate that Root ZX was statistically more accurate with NiTi files compared to SS files, while MINI was statistically more accurate with SS files compared to NiTi files. ELE and PIXI were not affected by the alloy type of the file used to determine WL.

An in vitro evaluation of the accuracy of four electronic apex locators using stainless-steel and nickel-titanium hand files

Paras Mull Gehlot,Vinutha Manjunath,Mysore Krishnaswamy Manjunath 대한치과보존학회 2016 Restorative Dentistry & Endodontics Vol.41 No.1

Objectives: The purpose of this in vitro study was to evaluate the accuracy of working length (WL) determination of four electronic apex locators (EALs), namely, Root ZX (RZX), Elements diagnostic unit and apex locator (ELE), SybronEndo Mini Apex locator (MINI) and Propex pixi (PIXI) using Stainless steel (SS) and nickel-titanium (NiTi) hand files. The null hypothesis was that there was no difference between canal length determination by SS and NiTi files of 4 EALs. Materials and Methods: Sixty extracted, single rooted human teeth were decoronated and the canal orifice flared. The actual length (AL) was assessed visually, and the teeth were embedded in an alginate model. The electronic length (EL) measurements were recorded with all four EALs using SS and NiTi files at ‘0.5’ reading on display. The differences between the AL and EL were compared. Results: The results obtained with each EAL with SS and NiTi files were compared with AL. A paired sample t test showed that there was a statistical significant difference between EAL readings with SS and NiTi files for RZX and MINI (p < 0.05). The accuracy of RZX, ELE, MINI and PIXI within ± 0.5 mm of AL with SS/ NiTi files were 93.3%/70%, 90%/91.7%, 95%/68.3%, and 83.3%/83.3%, respectively. Conclusions: The results of this study indicate that Root ZX was statistically more accurate with NiTi files compared to SS files, while MINI was statistically more accurate with SS files compared to NiTi files. ELE and PIXI were not affected by the alloy type of the file used to determine WL.

Variations in the functions of Pitta Dosha as per gender and Prakriti

Agrawal, Sonam,Gehlot, Sangeeta Cellmed Orthocellular Medicine and Pharmaceutical 2017 셀메드 (CellMed) Vol.7 No.4

The Tridosha theory, which is the cornerstone of Ayurvedic physiology governs all the functions of human body and mind. Tridosha are responsible in determining one's Prakriti and their functional status may vary in both gender of different Prakriti. No research work is available to assess the functions of Dosha by objective parameters. Therefore, this study was planned to find out the variation in functional status of different types of Pitta, using certain objective parameters, in 201 young healthy volunteers of both gender belonging to different Prakriti. Serum level of triglycerides, cholesterol, total protein and glucose level were estimated for Pachaka Pitta and hemoglobin concentration for Ranjaka Pitta, visual acuity for Alochaka Pitta, memory and reaction time for Sadhaka Pitta and RGB value for Bhrajaka Pitta were measured. Except the functioning of Bhrajaka Pitta, variation in functional status of all type of Pitta was not the same in different Prakriti of both gender. However these findings were not significant which may have occurred due to small sample size and homogenous population. Thus we propose the consideration of sex differences while planning and evaluating the studies that are based on Prakriti.

An Exploration on physiology of Vasa, Meda, Majja in Ayurveda w.s.r. to adipose tissue.

Agrawal, Sonam,Verma, Vandana,Gehlot, Sangeeta Cellmed Orthocellular Medicine and Pharmaceutical 2019 셀메드 (CellMed) Vol.9 No.3

Recent researches on adipocytes in human and mice model have reported that the adipocytes are not only the fat depots but having role in maintenance of physiology and metabolism through adipokines released by them in accordance to their anatomical location. Ayurveda scholars too have mentioned different tissues like Vasa (inter muscular fat), Meda (visceral fat) and Majja (bone marrow) which are predominantly rich in adipocytes similar to adipose tissues, with a different sites, functions, compositions and pathological outcomes. The metabolic effect of Meda and Majja Dhatu on other tissues like muscle (Mamsa Dhatu), bone (Asthi Dhatu) and reproductive tissue (Shukra Dhatu) shows their functional interdependence. The detailed description of therapeutic indications of Vasa and Majja under Snehakarma (oleation therapy) illustrates that clinical physiology of these tissues have been elaborated rather than general physiology. This article is an attempt to comprehend the physiological aspect of Vasa, Meda and Majja retrospectively on the basis of their therapeutic indication for the management of variety of disorders, in the form of Sneha through different therapeutic procedures. An effort has been also taken to distinguish Vasa, Meda, Majja based on the functional peculiarities of adipocytes present in different sites of body like omentum, muscle and bone marrow. Critical observation of explanations of Vasa, Meda and Majja in Ayurveda compendia and advanced research in field of adipocytes reflected that Ayurveda scholars had deep insights regarding the various dimensions of adipocytes, most of which are in consistent with the advanced physiology and biomolecular studies of adipocytes.

A scientific understanding of Mammary gland and physiology of lactation in Ayurveda.

Verma, Vandana,Agrawal, Sonam,Gehlot, Sangeeta Cellmed Orthocellular Medicine and Pharmaceutical 2020 셀메드 (CellMed) Vol.10 No.1

Ayurveda scholars have well described about the physio-anatomical aspect of mammary gland (Stana), physiology of lactation, importance of breast milk (Stanya) in growth and development of baby, various factors affecting the lactation and causing changes in property of milk, Galactogouge (Stanyajanana), and drugs for purification of mother milk (Stanya Shodhana). The recent studies provide evidence for above descriptions of Ayurveda. Breast milk (Stanya) is the nearly complete sole source of nourishment for infants. It has been considered as subsidiary tissue (Upadhatu) of blood plasma (Rasa Dhatu) as it is formed out of Rasa Dhatu (Plasma) and its quality and quantity gets affected by quality of nutrient fraction of food formed after complete digestion (Aahar Rasa). It provides health (Aarogya), strength and immunity (Bala) to the feeding child and gives innumerable beneficial effects like protection against not only acute infections like URTI, diarrhoea but also on chronic illnesses like CVD, metabolic disorders too. The Ayurveda description related to Mammary gland and physiology of lactation still need a better understanding for its implementation on promotion of health. Thus an attempt has been made to compile and analyze the view of Ayurveda scholars on Breast (Stana), Breast milk (Stanya) and physiological aspect of lactation as well as to draw a possible scientific understanding for the relevance.

A SMART Building Automation System

Rohit Chasta,Rajesh Singh,Anita Gehlot,Raj Gaurav Mishra,Sushabhan Choudhury 보안공학연구지원센터 2016 International Journal of Smart Home Vol.10 No.9

The building energy management systems its control and automation in buildings has significant role. These systems can play an important role in regular energy monitoring and management and therefore to save the possible energy and cost. The key point of the building automation market is focused upon better facilitation to the user in terms of comfort at reduced operation cost. Energy efficiency improvement will also contribute to environmental protection. Therefore there have been regulations and rating systems made that mandates the requirement of energy monitoring and control in a building. For example, the above mentioned building utilities and equipment control and automation plays an integral role in achieving the green building rating points from certifying authorities such as GRIHA and IGBC. The proposed system is to control the active systems such as lighting including artificial lighting (on/off & dimming control), air conditioners and safety features like fire alarm & gas alarm. In future the existing idea can be implemented for the whole building, i.e. various rooms or areas and then all of them can be integrated on a common platform for monitoring and control of different equipment.

A Smart Building Automation System

Rohit Chasta,Rajesh Singh,Anita Gehlot,Raj Gaurav Mishra,Sushabhan Choudhury 보안공학연구지원센터 2016 International Journal of Smart Home Vol.10 No.8

The building energy management systems its control and automation in buildings has significant role. These systems can play an important role in regular energy monitoring and management and therefore to save the possible energy and cost. The key point of the building automation market is focused upon better facilitation to the user in terms of comfort at reduced operation cost. Energy efficiency improvement will also contribute to environmental protection. Therefore there have been regulations and rating systems made that mandates the requirement of energy monitoring and control in a building. For example, the above mentioned building utilities and equipment control and automation plays an integral role in achieving the green building rating points from certifying authorities such as GRIHA and IGBC. The proposed system is to control the active systems such as lighting including artificial lighting (on/off & dimming control), air conditioners and safety features like fire alarm & gas alarm. In future the existing idea can be implemented for the whole building, i.e. various rooms or areas and then all of them can be integrated on a common platform for monitoring and control of different equipment.