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Uniqueness of Meromorphic Functions Sharing a Set of Roots of Unity 共享一组统一根的亚纯函数的唯一性
Journal of the Indian Mathematical Society Pub Date : 2020-07-01 DOI: 10.18311/jims/2020/25452
D. C. Pramanik, Jayanta Roy
{"title":"Uniqueness of Meromorphic Functions Sharing a Set of Roots of Unity","authors":"D. C. Pramanik, Jayanta Roy","doi":"10.18311/jims/2020/25452","DOIUrl":"https://doi.org/10.18311/jims/2020/25452","url":null,"abstract":"In this paper, we study the uniqueness for meromorphic functions when they share a set of roots of unity.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44223567","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: 2
A (0;0,2) Interpolation Method to Approximate Functions via Ultraspherical Polynomials 用超球面多项式逼近函数的（0；0,2）插值方法
Journal of the Indian Mathematical Society Pub Date : 2020-07-01 DOI: 10.18311/jims/2020/25454
R. Srivastava, Y. Singh
{"title":"A (0;0,2) Interpolation Method to Approximate Functions via Ultraspherical Polynomials","authors":"R. Srivastava, Y. Singh","doi":"10.18311/jims/2020/25454","DOIUrl":"https://doi.org/10.18311/jims/2020/25454","url":null,"abstract":"The object of this paper is to demonstrate the existence, explicit characterization and estimation of the polynomial interpolation, related to the weighted (0;0,2) interpolation which satisfies the boundary conditions together with the interpolation conditions at the interval [−1, 1].","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49282079","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 Cyclic and Negacyclic Codes of Length 8ps Over Fpm + uFpm Fpm+uFpm上长度为8ps的循环码和反循环码
Journal of the Indian Mathematical Society Pub Date : 2020-07-01 DOI: 10.18311/jims/2020/23906
Saroj Rani
{"title":"On Cyclic and Negacyclic Codes of Length 8ps Over Fpm + uFpm","authors":"Saroj Rani","doi":"10.18311/jims/2020/23906","DOIUrl":"https://doi.org/10.18311/jims/2020/23906","url":null,"abstract":"In this paper, we establish the algebraic structure of all cyclic and negacyclic codes of length 8<em>p</em><sup>s</sup> over the chain ring Fp<sup>m</sup> + uFp<sup>m</sup> in terms of their generator polynomials, where u<sup>2</sup> = 0 and s is a positive integer and p is an odd prime. We also find out the number of codewords in each of these cyclic codes. Besides this, we determine duals of cyclic codes and list self-dual cyclic and negacyclic codes of length 8<em>p</em><sup>s</sup> over Fp<sup>m</sup> + uFp<sup>m</sup>. Also, we determine μ and -constacyclic codes of length 8<em>p</em><sup>s</sup> over Fp<sup>m</sup> + uFp<sup>m</sup>.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47333717","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: 3
Generalized Minkowski-type Fractional Inequalities Involving Extended Mittag-leffler Function 包含扩展Mittag-lefler函数的广义Minkowski型分式不等式
Journal of the Indian Mathematical Society Pub Date : 2020-07-01 DOI: 10.18311/JIMS/2020/24607
M. Andrić, G. Farid, J. Pečarić, Usama Siddique
{"title":"Generalized Minkowski-type Fractional Inequalities Involving Extended Mittag-leffler Function","authors":"M. Andrić, G. Farid, J. Pečarić, Usama Siddique","doi":"10.18311/JIMS/2020/24607","DOIUrl":"https://doi.org/10.18311/JIMS/2020/24607","url":null,"abstract":"In this paper the reverse fractional Minkowski integral inequality using extended Mittag-Leffler function with the corresponding fractional integral operator is proved, as well as several related Minkowskitype inequalities.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46463998","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
On Perturbation of Weighted G−Banach Frames in Banach Spaces Banach空间中加权G−Banach帧的摄动
Journal of the Indian Mathematical Society Pub Date : 2020-05-15 DOI: 10.18311/JIMS/2020/21297
G. S. Rathore, Tripti Mittal
{"title":"On Perturbation of Weighted G−Banach Frames in Banach Spaces","authors":"G. S. Rathore, Tripti Mittal","doi":"10.18311/JIMS/2020/21297","DOIUrl":"https://doi.org/10.18311/JIMS/2020/21297","url":null,"abstract":"In the present paper, we study perturbation of weighted g −Banach frames in Banach spaces and obtain perturbation results for weighted g −Banach frames. Also, sufficient conditions for the perturbation of weighted g −Banach frames by positively confined sequence of scalars and uniformly scaled version of a given weighted g −Banach Bessel sequence have been given. Finally, we give a condition under which the sum of finite number of sequences of operators is a weighted g −Banach frame by comparing each of the sequences with another system of weighted g −Banach frames in Banach spaces.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44713809","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
Approximation of Signals in the Weighted Zygmund Class Via Euler-hausdorff Product Summability Mean of Fourier Series 加权Zygmund类信号的傅立叶级数的Euler-hausdorff乘积可和性均值逼近
Journal of the Indian Mathematical Society Pub Date : 2020-05-15 DOI: 10.18311/jims/2020/22506
A. Das, S. K. Paikray, T. Pradhan, H. Dutta
{"title":"Approximation of Signals in the Weighted Zygmund Class Via Euler-hausdorff Product Summability Mean of Fourier Series","authors":"A. Das, S. K. Paikray, T. Pradhan, H. Dutta","doi":"10.18311/jims/2020/22506","DOIUrl":"https://doi.org/10.18311/jims/2020/22506","url":null,"abstract":"Approximation of functions of Lipschitz and zygmund classes have been considered by various researchers under different summability means. In the proposed paper, we have studied an estimation of the order of convergence of Fourier series in the weighted Zygmund class W(Z r (ω) ) by using Euler-Hausdorff product summability mean and accordingly established some (presumably new) results. Moreover, the results obtained here are the generalization of several known results.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42338665","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: 9
Semilocal Convergence of a Seventh-Order Method in Banach Spaces Under Hölder Continuity Condition Hölder连续性条件下Banach空间中七阶方法的半局部收敛性
Journal of the Indian Mathematical Society Pub Date : 2020-05-15 DOI: 10.18311/jims/2020/23248
N. Gupta, J. P. Jaiswal
{"title":"Semilocal Convergence of a Seventh-Order Method in Banach Spaces Under Hölder Continuity Condition","authors":"N. Gupta, J. P. Jaiswal","doi":"10.18311/jims/2020/23248","DOIUrl":"https://doi.org/10.18311/jims/2020/23248","url":null,"abstract":"The motive of this article is to analyze the semilocal convergence of a well existing iterative method in the Banach spaces to get the solution of nonlinear equations. The condition, we assume that the nonlinear operator fulfills the Hölder continuity condition which is softer than the Lipschitz continuity and works on the problems in which either second order Frèchet derivative of the nonlinear operator is challenging to calculate or does not hold the Lipschitz condition. In the convergence theorem, the existence of the solution x* and its uniqueness along with prior error bound are established. Also, the R-order of convergence for this method is proved to be at least 4+3q. Two numerical examples are discussed to justify the included theoretical development followed by an error bound expression.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47102538","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: 1
On Different Relative Growth Factors of Entire Functions 关于整函数的不同相对增长因子
Journal of the Indian Mathematical Society Pub Date : 2020-05-15 DOI: 10.18311/jims/2020/24428
S. Datta, Banani Dutta, Nityagopal Biswas
{"title":"On Different Relative Growth Factors of Entire Functions","authors":"S. Datta, Banani Dutta, Nityagopal Biswas","doi":"10.18311/jims/2020/24428","DOIUrl":"https://doi.org/10.18311/jims/2020/24428","url":null,"abstract":"In this paper we investigate some properties related to sum and product of different relative growth factors of an entire function with respect to another entire function in connection with a special type of non-decreasing, unbounded function ψ.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45972380","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
Generalized Hermite- based Apostol- Bernoulli, Euler, Genocchi polynomials and their relations 基于广义Hermite的Apostol-Bernoulli、Euler、Genocchi多项式及其关系
Journal of the Indian Mathematical Society Pub Date : 2020-05-15 DOI: 10.18311/jims/2020/22695
Aparna Chaturvedi, Prakriti Rai
{"title":"Generalized Hermite- based Apostol- Bernoulli, Euler, Genocchi polynomials and their relations","authors":"Aparna Chaturvedi, Prakriti Rai","doi":"10.18311/jims/2020/22695","DOIUrl":"https://doi.org/10.18311/jims/2020/22695","url":null,"abstract":"In this paper, we have generalized Apostol-Hermite-Bernoullli polynomials, Apostol-Hermite-Euler polynomials and Apostol-Hermite-Genocchi polynomials. We have shown that there is an intimate connection between these polynomials and derived some implicit summation formulae by applying the generating functions.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42031693","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
Shift Balancing Numbers 移位平衡数
Journal of the Indian Mathematical Society Pub Date : 2020-05-15 DOI: 10.18311/jims/2020/24872
S. G. Rayaguru, G. Panda, R. K. Davala
{"title":"Shift Balancing Numbers","authors":"S. G. Rayaguru, G. Panda, R. K. Davala","doi":"10.18311/jims/2020/24872","DOIUrl":"https://doi.org/10.18311/jims/2020/24872","url":null,"abstract":"For each positive integer k , the Diophantine equation (k+1)+(k+2)+···+(n−1) = (n+1)+(n+2)+···+(n+r) is studied.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44316127","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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