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GENERALIZED FRACTIONAL DIFFERINTEGRAL OPERATORS OF THE K-SERIES
Gupta, Rajeev Kumar,Shaktawat, Bhupender Singh,Kumar, Dinesh The Honam Mathematical Society 2017 호남수학학술지 Vol.39 No.1
In the present paper, we further study the generalized fractional differintegral (integral and differential) operators involving Appell's function $F_3$ introduced by Saigo-Maeda [9], and are applied to the K-Series defined by Gehlot and Ram [3]. On account of the general nature of our main results, a large number of results obtained earlier by several authors such as Ram et al. [7], Saxena et al. [14], Saxena and Saigo [15] and many more follow as special cases.
GENERALIZED FRACTIONAL DIFFERINTEGRAL OPERATORS OF THE K-SERIES
( Rajeev Kumar Gupta ),( Bhupender Singh Shaktawat ),( Dinesh Kumar ) 호남수학회 2017 호남수학학술지 Vol.39 No.1
In the present paper, we further study the generalized fractional differintegral (integral and differential) operators involving Appell`s function F3 introduced by Saigo-Maeda [9], and are applied to the K-Series defined by Gehlot and Ram [3]. On account of the general nature of our main results, a large number of results obtained earlier by several authors such as Ram et al. [7], Saxena et al. [14], Saxena and Saigo [15] and many more follow as special cases.
CERTAIN RESULTS ON EXTENDED GENERALIZED τ-GAUSS HYPERGEOMETRIC FUNCTION
Kumar, Dinesh,Gupta, Rajeev Kumar,Shaktawat, Bhupender Singh The Honam Mathematical Society 2016 호남수학학술지 Vol.38 No.4
The main aim of this paper is to introduce an extension of the generalized ${\tau}$-Gauss hypergeometric function $_rF^{\tau}_s(z)$ and investigate various properties of the new function such as integral representations, derivative formulas, Laplace transform, Mellin trans-form and fractional calculus operators. Some of the interesting special cases of our main results have been discussed.
Certain results on extended generalized $\tau$-Gauss Hypergeometric function
Dinesh Kumar,Rajeev Kumar Gupta,Bhupender Singh Shaktawat 호남수학회 2016 호남수학학술지 Vol.38 No.4
The main aim of this paper is to introduce an extension of the generalized $\tau$-Gauss hypergeometric function $_rF_s^{\tau}(z)$ and investigate various properties of the new function such as integral representations, derivative formulas, Laplace transform, Mellin transform and fractional calculus operators. Some of the interesting special cases of our main results have been discussed.
Assessment of Critical Vortexing Height to Prevent Slag Entrapment During Tundish Teeming
Antariksh Gupta,Rakesh Kumar,Rajeev Kumar Singh 대한금속·재료학회 2022 METALS AND MATERIALS International Vol.28 No.5
With globalization and increased competitiveness in the steel market, industries are required to produce quality steel at a reasonablecost. This necessitates the introduction of either new manufacturing techniques, or to improve quality and yield withthe existing processes. It is well established that slags entrapped by the vortexing phenomenon during steelmaking processesare responsible for causing quality issues and lowering the yield of steel produced. Measures are taken to end teeming fromtundish before initiation of vortexing to prevent slag entrainment. This premature end of teeming is an inevitable yield lossthat needs to be minimized. The present work aims to increase the efficiency of the steelmaking process by control techniquesfor minimizing tundish slag entrainment during tundish teeming. Experimental and mathematical simulations with differenttundish configurations have been carried out to analyze the initiation of slag vortexing. The mathematical simulation usesmultiphase models with a steel–slag–air system while the physical simulation uses a water–paraffin oil system to replicatethe steel–slag system. It has been observed that the presence of higher turbulence and a thicker slag layer over liquid steelincreases vortex initiation height (Hcr). An empirical correlation between these parameters with Hcrhas been developed tooptimize the end of teeming and increase process yield.
CERTAIN RESULTS ON EXTENDED GENERALIZED T-GAUSS HYPERGEOMETRIC FUNCTION
( Dinesh Kumar ),( Rajeev Kumar Gupta ),( Bhupender Singh Shaktawat ) 호남수학회 2016 호남수학학술지 Vol.38 No.4
The main aim of this paper is to introduce an extension of the generalized ¿-Gauss hypergeometric function and in- vestigate various properties of the new function such as integral rep- resentations, derivative formulas, Laplace transform, Mellin trans- form and fractional calculus operators. Some of the interesting special cases of our main results have been discussed.
Thakur, Priyanka,Seam, Rajeev Kumar,Gupta, Manoj Kumar,Rastogi, Madhup,Gupta, Manish,Bhattacharyya, Tapesh,Sharma, Mukesh,Revannasiddaiah, Swaroop Asian Pacific Journal of Cancer Prevention 2015 Asian Pacific journal of cancer prevention Vol.16 No.10
Purpose: Blood hemoglobin levels are known to influence response to radiotherapy. This retrospective analysis compared the effect of hemoglobin levels upon response to radiation among patients treated with radiation alone (by accelerated hyperfractionated radiotherapy) versus those treated with concurrent cisplatin chemoradiotherapy. Materials and Methods: Among patients treated for locally advanced carcinoma of the cervix (LACC) during 2009-10, a total of 60 fulfilled the eligibility criteria. In this time frame, external beam radiotherapy was delivered with either concurrent chemoradiotherapy (CRT, n=31) (45Gy over 25 fractions, with weekly cisplatin at 40mg/m2), or with accelerated hyperfractionated radiotherapy (AHRT, n=29) (20Gy over 10 daily fractions over the first two weeks, followed by 30Gy over 20 fractions over the next two weeks, with two fractions of 1.5Gy per day, without the use of chemotherapy). Mean weekly hemoglobin (MWH) levels of all patients were calculated as the arithmetic means of weekly recorded blood hemoglobin levels. As per MWH, patients in both of the AHRT or the CRT groups were classified into two subgroups-those with MWH between 10-10.9g/dL, or with MWH>11g/dL. Complete response (CR) to external beam RT phase (prior to brachytherapy) was declared after clinical examinations and computed tomography. The CR rate was noted for both MWH sub-groups within each of the AHRT and CRT groups. Results: Within the AHRT group, patients with MWH>11g/dL had a much better CR rate in comparison to those with MWH:10-10.9g/dL (80% vs. 21.1%) which was statistically significant (p 0.0045). Within the CRT group, there was no significant difference in the outcomes within the MWH>11g/dL and MWH:10-10.9g/dL sub-groups (CR rates of 80% vs. 61.9%, p=0.4285). Conclusions: The importance of maintaining a minimum hemoglobin level of 11g/dL during RT is much greater for patients treated with RT alone, than for patients treated with concurrent chemoradiotherapy. Enhanced haemoglobin levels during RT may to an extent negate the ill-effects that may otherwise arise due to non-use of concurrent chemotherapy.
Khushboo Sharma,Rakesh Kumar Ranjan,Sargam Lohar,Jayant Sharma,Rajeev Rajak,Aparna Gupta,Amit Prakash,Alok Kumar Pandey 한국대기환경학회 2022 Asian Journal of Atmospheric Environment (AJAE) Vol.16 No.1
This study analyzed the BC associated with PM1 and the contribution of biomass burning to the BC using a portable seven-channel Dual spot Aethalometer in and around Gangtok, the capital city of Sikkim, India, during April 2021. Additionally, CO2 and meteorological parameters (Temperature, Pressure, and Relative Humidity) was measured. The minimum concentration of BC was found in rural areas where the contribution of biomass burning to the BC is highest. The observed spatial variability of BC over Gangtok Municipal Corporation (GMC) area is minimal. Five days back-trajectory analysis was done using the Hybrid Single Particle Lagrangian Integrated Trajectory (HYSPLIT) model to understand the regional influences of air masses at Gangtok. The air mass of the studied region is under influence of trans-regional transport from Indo-Gangetic Plains affecting the BC concentration over the studied region. The black carbon presence in the ambient air near the glacier heights in the Eastern Himalayan region may significantly cause localized warming, thereby enhancing glacier melts. The results have significant bearing for the policy-makers to take corrective steps in addressing the issue of rising BC concentration in high altitude regions. A further detailed study is needed to examine the effect of BC on radiative forcing and its large-scale effect on the East Asian summer monsoon using regional climate models.
Ajay Pratap Singh,Satparkash Singh,Santosh Kumar Gupta,Vijendra Pal Singh,Bhaskar Sharma,Rajeev Ranjan 대한수의학회 2010 Journal of Veterinary Science Vol.11 No.3
Outer membrane proteins of Pasteurella (P.) multocida have been known to be protective immunogens. Pasteurella lipoprotein E (PlpE) has been reported to be an important cross reactive outer membrane protein in P. multocida. The gene encoding the PlpE of P. multocida serotypes A: 3, B: 2and D: 1 was amplified from the genomic DNA. The amplified products were cloned and the nucleotide sequence was determined. Sequence analysis of the recombinant clones revealed a single open reading frame of 1,011 bp, 1,008 bp and 1,017 bp encoding a protein with a calculated molecular mass of 37.829 kDa, 37.389 kDa and 37.965 kDa for serotypes A:3, B: 2 and D: 1 respectively. The comparison of the plpE sequence in different capsular types revealed a high degree (>90%) of homology. Furthermore, the plpE gene of Haemorhhagic septicaemia causing serotype (B: 2) was expressed in E. coli and recombinant PlpE was strongly immunostained by antiserum against whole cell antigen,indicating that the protein is expressed in vivo.
Unusual Uptake of Prostate Specific Tracer <sup>68</sup>Ga-PSMA-HBED-CC in a Benign Thyroid Nodule
Damle, Nishikant Avinash,Tripathi, Madhavi,Chakraborty, Partha Sarathi,Sahoo, Manas Kumar,Bal, Chandrasekhar,Aggarwal, Shipra,Arora, Geetanjali,Kumar, Praveen,Kumar, Rajeev,Gupta, Ravikant The Korea Society of Nuclear Medicine 2016 핵의학 분자영상 Vol.50 No.4
$^{68}Ga$-Prostate specific membrane antigen- N,N′-bis[2-hydroxy-5-(carboxyethyl)benzyl]ethylenediamine-N,N′-diacetic acid- positron emission tomography/computed tomography or 68 Ga- HBED-CC-PSMA PET/CT, popularly known as PSMA PET/CT, is able to detect a small volume of recurrent prostate carcinoma (PC) when there is a prostate specific antigen (PSA) rise on follow-up after prostatectomy or other definitive treatment for PC. The use of PSMA PET/CT in the initial staging in PC is uncertain at this time. Clinical studies are underway to define its exact role in the management of the disease. At the same time it is important to be aware of unexpected sites of uptake of this ligand. We present here the case of a 62-year-old male patient who underwent prostatectomy for adenocarcinoma prostate. He also had a long-standing left solitary thyroid nodule (STN). Four months after surgery, he had a rising trend in serum PSA levels on three occasions, but the absolute value was less than 4 at all times. He underwent a $^{68}Ga$-PSMA-HBED-CC PET/CT, but it did not reveal any recurrent/metastatic site of disease. However, there was increased tracer uptake in the left STN. Fine needle aspiration cytology revealed features of atypia of undetermined significance, Bethesda category III. The patient underwent a left hemithyroidectomy and the histopathology showed features of a follicular adenoma.