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On Some Categories of Riemannian Manifolds 关于黎曼流形的一些范畴
Journal of the Indian Mathematical Society Pub Date : 2018-12-12 DOI: 10.18311/JIMS/2019/22525
R. Yadav
{"title":"On Some Categories of Riemannian Manifolds","authors":"R. Yadav","doi":"10.18311/JIMS/2019/22525","DOIUrl":"https://doi.org/10.18311/JIMS/2019/22525","url":null,"abstract":"In this article we introduce two categories of Riemannian manifolds. We also study some properties of such categories and compare them with the previously known categories.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48193915","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Generalization of a Result of Birch and Swinnerton-Dyer 对Birch和Swinnerton-Dyer结果的推广
Journal of the Indian Mathematical Society Pub Date : 2018-06-01 DOI: 10.18311/JIMS/2018/20142
Leetika Kathuria, M. Raka
{"title":"A Generalization of a Result of Birch and Swinnerton-Dyer","authors":"Leetika Kathuria, M. Raka","doi":"10.18311/JIMS/2018/20142","DOIUrl":"https://doi.org/10.18311/JIMS/2018/20142","url":null,"abstract":"In this paper, we give a proof of the generalization of a result of Birch and Swinnerton-Dyer [1956], which has been used by Hans-Gill, Sehmi and authors while obtaining estimates on the classical conjecture of Minkowski on the product of n non-homogeneous linear forms.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46768289","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Solutions of Some Linear Fractional Partial Differential Equations in Mathematical Physics 数学物理中若干线性分数阶偏微分方程的解
Journal of the Indian Mathematical Society Pub Date : 2018-06-01 DOI: 10.18311/JIMS/2018/20144
Ranjit R. Dhunde, G. L. Waghmare
{"title":"Solutions of Some Linear Fractional Partial Differential Equations in Mathematical Physics","authors":"Ranjit R. Dhunde, G. L. Waghmare","doi":"10.18311/JIMS/2018/20144","DOIUrl":"https://doi.org/10.18311/JIMS/2018/20144","url":null,"abstract":"In this article, we use double Laplace transform method to find solution of general linear fractional partial differential equation in terms of Mittag-Leffler function subject to the initial and boundary conditions. The efficiency of the method is illustrated by considering fractional wave and diffusion equations, Klein-Gordon equation, Burger’s equation, Fokker-Planck equation, KdV equation, and KdV-Burger’s equation of mathematical physics.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48961487","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Unified Extensions of Strongly Reversible Rings and Links with Other Classic Ring Theoretic Properties 具有其他经典环论性质的强可逆环和环的统一推广
Journal of the Indian Mathematical Society Pub Date : 2018-06-01 DOI: 10.18311/JIMS/2018/20986
R. Sharma, A. B. Singh
{"title":"Unified Extensions of Strongly Reversible Rings and Links with Other Classic Ring Theoretic Properties","authors":"R. Sharma, A. B. Singh","doi":"10.18311/JIMS/2018/20986","DOIUrl":"https://doi.org/10.18311/JIMS/2018/20986","url":null,"abstract":"Let R be a ring, (M, ≤) a strictly ordered monoid and ω : M → End(R) a monoid homomorphism. The skew generalized power series ring R[[M; ω]] is a compact generalization of (skew) polynomial rings, (skew) power series rings, (skew) Laurent polynomials rings, (skew) Laurent power series rings, (skew) group rings, (skew) monoid rings, Mal'cev Neumann rings and generalized power series rings. In this paper, we introduce concept of strongly (M, ω)-reversible ring (strongly reversible ring related to skew generalized power series ring R[[M, ω]]) which is a uni ed generalization of strongly reversible ring and study basic properties of strongly (M; ω)-reversible. The Nagata extension of strongly reversible is proved to be strongly reversible if R is Armendariz. Finally, it is proved that strongly reversible ring strictly lies between reduced and reversible ring in the expanded diagram given by Diesl et. al. [7].","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45989085","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Coincidence Theorems in New Generalized Metric Spaces Under Locally g-transitive Binary Relation 局部g-传递二元关系下新广义度量空间中的重合定理
Journal of the Indian Mathematical Society Pub Date : 2018-06-01 DOI: 10.18311/JIMS/2018/16383
G. Prasad, R. Dimri
{"title":"Coincidence Theorems in New Generalized Metric Spaces Under Locally g-transitive Binary Relation","authors":"G. Prasad, R. Dimri","doi":"10.18311/JIMS/2018/16383","DOIUrl":"https://doi.org/10.18311/JIMS/2018/16383","url":null,"abstract":"In this paper, we establish coincidence point theorems for contractive mappings, using locally g-transitivity of binary relation in new generalized metric spaces. In the present results, we use some relation theoretic analogues of standard metric notions such as continuity, completeness and regularity. In this way our results extend, modify and generalize some recent fixed point theorems, for instance, Karapinar et al [J. Fixed Point Theory Appl. 18(2016) 645-671], Alam and Imdad [Fixed Point Theory, in press].","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42055545","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Pseudo-Differential Operators of Homogeneous Symbol Associated with n-Dimensional Hankel Transformation 与n维Hankel变换相关的齐次符号的伪微分算子
Journal of the Indian Mathematical Society Pub Date : 2018-06-01 DOI: 10.18311/JIMS/2018/21407
S. K. Upadhyay, M. Chauhan
{"title":"Pseudo-Differential Operators of Homogeneous Symbol Associated with n-Dimensional Hankel Transformation","authors":"S. K. Upadhyay, M. Chauhan","doi":"10.18311/JIMS/2018/21407","DOIUrl":"https://doi.org/10.18311/JIMS/2018/21407","url":null,"abstract":"The characterizations of pseudo-differential operators L(x,D) and H(x,D) associated with the homogeneous symbol l(x; ξ), involving Hankel transformation are investigated by using the theory of n-dimensional Hankel transform.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42552357","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Continuous Fractional Wavelet Transform on W-Type Spaces w型空间上的连续分数小波变换
Journal of the Indian Mathematical Society Pub Date : 2018-06-01 DOI: 10.18311/JIMS/2018/20984
Anuj Kumar, S. Upadhyay
{"title":"The Continuous Fractional Wavelet Transform on W-Type Spaces","authors":"Anuj Kumar, S. Upadhyay","doi":"10.18311/JIMS/2018/20984","DOIUrl":"https://doi.org/10.18311/JIMS/2018/20984","url":null,"abstract":"An n-dimensional continuous fractional wavelet transform involving <em>n</em>-dimensional fractional Fourier transform is studied and its properties are obtained on Gel'fand and Shilov spaces of type <em>W<sub>M</sub></em>(R<sup>n</sup>), <em>W</em><sup>Ω</sup> (C<sup>n</sup>) and W<sup>Ω</sup><sub>M</sub> (C<sup>n</sup>). It is shown that continuous fractional wavelet transform, W<sup>α</sup><sub>ψ</sub>Φ : W<sub>M</sub>(R<sup>n</sup>) → W<sub>M</sub>(R<sup>n</sup> × R<sub>+</sub>), W<sup>α</sup><sub>ψ</sub>Φ : W<sup>Ω</sup> (C<sup>n</sup>) → W<sup>Ω</sup> (C<sup>n</sup> × R<sub>+</sub>) and W<sup>α</sup><sub>ψ</sub>Φ : W<sup>Ω</sup><sub>M</sub> (C<sup>n</sup>) → W<sup>Ω</sup><sub>M</sub> (C<sup>n</sup> × R<sub>+</sub>) are linear and continuous maps, where R<sup>n</sup> and C<sup>n</sup> are the usual Euclidean spaces.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47208352","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Selectively Star-Lindelof Properties 关于选择性星Lindelof性质
Journal of the Indian Mathematical Society Pub Date : 2018-06-01 DOI: 10.18311/JIMS/2018/20145
Prasenjit Bal, S. Bhowmik, D. Gauld
{"title":"On Selectively Star-Lindelof Properties","authors":"Prasenjit Bal, S. Bhowmik, D. Gauld","doi":"10.18311/JIMS/2018/20145","DOIUrl":"https://doi.org/10.18311/JIMS/2018/20145","url":null,"abstract":"In this paper a new covering notion, called <em>M-</em>star-Lindelof, is introduced and studied. This notion of covering arises from the selection hypothesis SS*<sub>D,fin</sub>(D, D). The stronger form SS*<sub>D,1</sub>(D, D) of the selection hypothesis SS*<sub>D,fin</sub>(D, D) will also be discussed. We then consider weaker versions of these properties involving iterations of the star operator.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42188835","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
A Simple Generalization of Euler Numbers and Polynomials Euler数和多项式的一个简单推广
Journal of the Indian Mathematical Society Pub Date : 2018-06-01 DOI: 10.18311/JIMS/2018/20981
Abdul Hassen, Christopher R. Ernst
{"title":"A Simple Generalization of Euler Numbers and Polynomials","authors":"Abdul Hassen, Christopher R. Ernst","doi":"10.18311/JIMS/2018/20981","DOIUrl":"https://doi.org/10.18311/JIMS/2018/20981","url":null,"abstract":"In this article, we shall consider a generalization of Euler's numbers and polynomials based on modifying the corresponding generating function. We shall prove some recurrence relations, an explicit formula, and multiplicative properties of the generalized numbers.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42054474","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some Properties of Extended Hypergeometric Function and Its Transformations 扩展超几何函数及其变换的一些性质
Journal of the Indian Mathematical Society Pub Date : 2018-06-01 DOI: 10.18311/JIMS/2018/20979
Aparna Chaturvedi, Prakriti Rai
{"title":"Some Properties of Extended Hypergeometric Function and Its Transformations","authors":"Aparna Chaturvedi, Prakriti Rai","doi":"10.18311/JIMS/2018/20979","DOIUrl":"https://doi.org/10.18311/JIMS/2018/20979","url":null,"abstract":"There emerges different extended versions of Beta function and hypergeometric functions containing extra parameters. We obtain some properties of certain functions like extended Generalized Gauss hypergeometric functions, extended Confluent hypergeometric functions including transformation formulas, Mellin transformation for the generalized extended Gauss hypergeometric function in one, two and more variables.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46901598","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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