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Singh, Yashwant
- A general class of multivariate distribution involving H̅ -function
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PDF Views:96
Authors
Affiliations
1 Department of Mathema tics, Jubail University College, SA
1 Department of Mathema tics, Jubail University College, SA
Source
Indian Journal of Science and Technology, Vol 1, No 6 (2008), Pagination: 1-3Abstract
In this paper an attempt has been made to present unified theory of the classical statistical distribution associated with the multivariate generalized Dirichlet distribution involving H̅- function with general arguments. In particular, Mathematical expectation of a general class of polynomials, characteristic function and the distribution function are investigated.Keywords
Probability Density Function, Dirichlet Distribution, General Class of Polynomials, H̅-functionclassification: 33c99)References
- Buschman RG and Srivastava HM (1990) The H -function associated with a certain class of Feynman integrals. J. Maths. Gen. 23, 4707- 4710.
- Carlson BC (1977) Special Function of Applied Mathematics, Academic Press, New York.
- Exton H (1978) Multiple Hypergeometric Function and Application, Halsted Press (Ellis Horwood Ltd., Chichester), John Willey & Sons Chichester ,New York.
- Fox C (1961) The G and H–function as symmetric Fourier kernels. Trans. Amer. Math. Soc. 98, 395-429.
- Goyal SP and Audich Sunil (1991) A general class of multivariate distributions involving Fox’s H-functions. Indian J.Pure & Appl. Math. 22(1), 77-82.
- Gupta KC, Jain Rashmi and Sharma Arti (2003) A study of unified finite integral transform with applications, J. Raj. Acd. Phys. Sci. 2 (4), 269-282.
- Inayat-Hussian AA (1987) New properties of hypergeometric series derivable from Feynman integral II.A generalization of the H – function. J. Phys. A: Math. 20, 4119-4128.
- Mathai AM and Sexena RK (1978) The Hfunction with Applications in Statistics and Other Disciplines, Willy Eastern Ltd., New Delhi.
- Srivastava HM and Karlsson PW (1985) Multiple Gaussian Hypergeometric Series, Halsted Press (Ellis-Harwood Ltd.Chichester), John Willey & Sons, New York.
- Srivastava HM, Gupta KC and Goyal SP (1982) The H-Function of One and Two Variables with Applications, South Asian Publishers, New Delhi.
- Srivastva HM (1972) A contour integral involving Fox’s H-function. Indian J. Math. 14, 1-6.
- Some Unified Presentations of Bicomplex Speces and Functions
Abstract Views :372 |
PDF Views:61
Authors
Affiliations
1 Department of Mathematics, Jubail University College, SA
1 Department of Mathematics, Jubail University College, SA
Source
Indian Journal of Science and Technology, Vol 1, No 7 (2008), Pagination: 1-7Abstract
The aim of this paper is presenting a unified study of bicomplex speces and functions. We discuss the bicomplex number, bicomplex algebra, differentiability of a bicomplex function, bicomplex integration idempotent basis, bicoplex Gamma function, bicomplex Beta function, Gauss multiplication theorem, bicomplex Binomial theorem and some Properties of Gamma function. Various properties of Gamma and Beta functions are established. These functions which are believed to be new will provide a fundamental tool to the theory of bicomplex special functions.Keywords
Bicomplex Number, Idempotent Basis, Gamma And Beta Functions, Bicomplex Binomial TheoremReferences
- Goyal SP and Goyal Ritu (2006) The bicomplex Hurwitz Zeta function,South East Asian J.Math. & Math. Sci. (in press).
- Goyal SP, MathurT and Goyal Ritu 2006) Bicomplex Gamma and Beta function. J.Raj. Acad. Phy. Sci. 5(1), 131-142.
- Price GB (1991) An Introduction to Multicomplex Spaces and Functions, Marcel Dekker, New York.
- Rainville ED (1960) A Special Function. Chelsea Publications, New York.
- Rochon D (2004) A bicomplex Riemann Zeta function, Tokyo J. Math. 27(2), 357-369.
- Ron S (2000) Bicomplex Algebra and Function Theory. Preprint: http://ar xiv.org/abs/math/ 0101200vi.
- Serge C (1892) Le representazioni reali delle forme complesse e gli enti iperalgebrici, Math. Ann. 40, 413-467.
- Intelligent Transport System: A Progressive Review
Abstract Views :193 |
PDF Views:0
Authors
Affiliations
1 Department of Computer Science and Engineering, Jaypee University of Information Technology (JUIT), Waknaghat, Solan, Himachal Pradesh, IN
1 Department of Computer Science and Engineering, Jaypee University of Information Technology (JUIT), Waknaghat, Solan, Himachal Pradesh, IN
Source
Indian Journal of Science and Technology, Vol 9, No 32 (2016), Pagination:Abstract
Objectives: Increase in traffic density in the world results in more and more congestion, air pollution and accidents. Hence Intelligent Transport System (ITS) has been emerged as a solution to various transport related issues. The aim of this research paper is to conduct systematic analysis on ITS. Methods/Statistical Analysis: ITS is defined as the set of applications which are advance and aim to apply intelligent information and communication technologies in order to provide services for transport and traffic management. ITS have combined various technologies such as Data collection, Communication, Data Mining, Machine Learning, Artificial Intelligence and Database Management. By combining these information technologies ITS have provided various applications such as Traffic control, Fault detection systems, In-vehicle information and navigation systems and driver assistance systems. Findings: We have considered the most relevant published work from 2008 onward relative to our objective from different popular digital libraries. We have summarized this work into issues in ITS and techniques used to solve them. Application/Improvements: It has been found that by combining various new technologies such as agent based computing, cloud computing, VANETS etc. ITS have become very efficient to solving transport related issues in smart cities.Keywords
Agent Based Computing, Intelligent Transport System, Parallel Transportation and Management System, Vehicular Ad-hoc Networks, Vehicular Cloud Computing.- A Methodical Review on Issues of Medical Image Management System with Watermarking Approach
Abstract Views :220 |
PDF Views:0
Authors
Affiliations
1 Department of CSE, Jaypee University of Information Technology, Wakhnaghat, Solan - 173234, Himachal Pradesh, IN
1 Department of CSE, Jaypee University of Information Technology, Wakhnaghat, Solan - 173234, Himachal Pradesh, IN
Source
Indian Journal of Science and Technology, Vol 9, No 32 (2016), Pagination:Abstract
Objective: The main objective of this research article is to study how watermarking has solved issues evolved in medical management system through various techniques. Method/Analysis: With the advent of technology, medical management system has improved to great extent by sharing medical data for clinical diagnosis, treatment, education, research and other applications. The common uses of watermarking in medical image management system are safe archiving, memory storage, captioning, authentication, controlled access retrieval and effective distribution of information. . In order to conduct the survey, various digital libraries have been explored and research work of last five years is taken into consideration for analysis. Findings: Based on the analysis, the identified techniques have been classified into three main broad categories and few subcategories. The three main categories are: 1. Tamper Detection and authentication/Integrity/Security 2. EPR hiding 3. Hybrid/ all-in-one solution. Novelty/improvement: Later on for further analysis and understanding we have presented the findings in Table 1.Keywords
EPR, DICOM, Spatial and Transform Domain Techniques, Watermarking.- An Energy Efficient Opportunistic Routing Metric for Wireless Sensor Networks
Abstract Views :171 |
PDF Views:0
Authors
Affiliations
1 Department of Computer Science and Engineering, Jaypee University of Information Technology, Waknaghat, Solan - 173234, Himachal Pradesh, IN
1 Department of Computer Science and Engineering, Jaypee University of Information Technology, Waknaghat, Solan - 173234, Himachal Pradesh, IN
Source
Indian Journal of Science and Technology, Vol 9, No 32 (2016), Pagination:Abstract
Objectives: Opportunistic Routing (OR) algorithms depends on metric design applied to the forwarder selection and prioritization. The objective is to define new OR metric, which reduces energy consumption in WSN. Methods/Statistical Analysis: In Wireless Sensor Network (WSN), sensor nodes have been supplied with a small amount of energy, using small size battery. Opportunistic Routing (OR) can minimize energy consumption by reducing delay and providing real time data delivery. OR reduces number of retransmissions in network by increasing the number of tentative forwarders. But most of the OR algorithms depends on metric design applied to the forwarder candidate selection and prioritization. Findings: In this paper, a new energy aware opportunistic routing metric called as Energy Depletion Factor (EDF) is proposed for WSN. This metric takes into consideration energy as well as delay. This metric can directly be used with existing opportunistic routing protocols. This metric extends the lifetime of the network by distributing energy consumption load equally in the network. It tells the routing algorithm that which forwarder node is having what impact on its battery life. EDF is local opportunistic routing metric, which reduces end-to-end delay in the network and also increases the network lifetime. To calculate EDF, the concept of residual energy of each node has been used. Application/Improvements: This metric can directly be used with existing opportunistic routing protocols. Simulation results presented the improvement of network lifetime and throughput by using EDF as a routing metric in WSN.Keywords
Energy Depletion Factor, End-To-End Delay, Energy Efficiency, Network Lifetime, Opportunistic Routing Metric, Routing Algorithm.- Energy Consumption Pattern at Household Level: A Micro Level Study of Himachal Pradesh
Abstract Views :168 |
PDF Views:0
Authors
Affiliations
1 Department of Humanities and Social Sciences, Jaypee University of Information Technology, Waknaghat, Solan, IN
2 Department of CSE, Jaypee University of Information Technology, Waknaghat, Solan, IN
1 Department of Humanities and Social Sciences, Jaypee University of Information Technology, Waknaghat, Solan, IN
2 Department of CSE, Jaypee University of Information Technology, Waknaghat, Solan, IN
Source
Indian Journal of Science and Technology, Vol 9, No 32 (2016), Pagination:Abstract
Objectives: Household energy composition is generally looked upon as a concept associated with the income level of the household. Current study is an attempt to understand various factors that influence the phenomenon of fuel switching in rural India in general and Himalayan state of Himachal Pradesh in particular. Methods/Statistical Analysis: For the purpose of the study primary data was collected to look upon the energy use pattern at household level with respect to the household size, income level of household, availability of various energy sources, prices of the alternate fuels sources, time taken to utilise different fuel sources, and household's accessibility to fuels. Findings: Study finds that despite major differentials in income at household level, the energy mix across income strata doesn't show any significant difference. Clean energy sources availability, affordability and cultural preferences are three major factors that still influence the household energy mix in Himalayan transact. Application/Improvements: Fuel switching approach needs a major rethinking and income based top down approach is highly desired.Keywords
Energy Consumption, Fuel Switching, Household Energy, Income, Socio-Economic.- Efficient Approach for Securing Message Communication in Wireless Sensor Networks from Node Clone Attack
Abstract Views :146 |
PDF Views:0
Authors
Affiliations
1 Department of Computer Science and Engineering, Jaypee University of Information, Technology, Waknaghat 173234, Solan, IN
1 Department of Computer Science and Engineering, Jaypee University of Information, Technology, Waknaghat 173234, Solan, IN