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Some curvature characterizations on Kenmotsu metric spaces Kenmotsu度量空间上的一些曲率表征
Gulf Journal of Mathematics Pub Date : 2022-09-16 DOI: 10.56947/gjom.v13i2.812
Pakize Uygun, S. Dirik, M. Atc̣eken
{"title":"Some curvature characterizations on Kenmotsu metric spaces","authors":"Pakize Uygun, S. Dirik, M. Atc̣eken","doi":"10.56947/gjom.v13i2.812","DOIUrl":"https://doi.org/10.56947/gjom.v13i2.812","url":null,"abstract":"\u0000 \u0000 \u0000The purpose of this study is to characterize Kenmotsu manifolds that satisfy specific curvature conditions. We give the Kenmotsu manifold curvature tensors satisfying the conditions RW5 = 0, RW7 = 0, RW9 = 0 and φ-RW0* = 0. Also we consider a W0*-flat and a φ-W0*-flat Kenmotsu metric manifolds. As a result, M is an η-Einstein Kenmotsu metric manifold. \u0000 \u0000 \u0000","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124806008","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 almost ∗-Ricci soliton 关于几乎* -里奇孤子
Gulf Journal of Mathematics Pub Date : 2022-09-16 DOI: 10.56947/gjom.v13i2.790
S. Kundu, S. Halder, K. De
{"title":"On almost ∗-Ricci soliton","authors":"S. Kundu, S. Halder, K. De","doi":"10.56947/gjom.v13i2.790","DOIUrl":"https://doi.org/10.56947/gjom.v13i2.790","url":null,"abstract":"Abstract. In the present paper, we prove three fundamental results concerning almost ∗-Ricci soliton in the framework of para-Sasakian manifold. The paper is organised as follows:• If a para-Sasakian metric g represents an almost ∗-Ricci soliton with potential vector field V is Jacobi along Reeb vector field ξ, then g becomes a ∗-Ricci soliton.• If a para-Sasakian metric g represents an almost ∗-Ricci soliton with potential vector field V as infinitesimal paracontact transformation, then V is killing and g is η-Einstein.• If a para-Sasakian metric g represents an almost ∗-Ricci soliton with potential vector field V is collinear with the Reeb vector field ξ, then λ = 0, V is strict and g is η-Einstein.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125996322","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
Coefficient bounds for regular and bi-univalent functions linked with Gegenbauer polynomials 与Gegenbauer多项式联系的正则函数和双一元函数的系数界
Gulf Journal of Mathematics Pub Date : 2022-09-16 DOI: 10.56947/gjom.v13i2.723
Swamy Sr, Waggas Galib Atshan
{"title":"Coefficient bounds for regular and bi-univalent functions linked with Gegenbauer polynomials","authors":"Swamy Sr, Waggas Galib Atshan","doi":"10.56947/gjom.v13i2.723","DOIUrl":"https://doi.org/10.56947/gjom.v13i2.723","url":null,"abstract":"Making use of Gegenbauer polynomials, we initiate and explore two sets of normalized regular and bi-univalent (or bi-Schlicht) functions in the unit disc linked with Gegenbauer polynomials. We investigate certain coefficients bounds and the Fekete-Szego functional for functions in these families. We also present few interesting observations and provide relevant connections of the results investigated.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125757225","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
Special case of Fermat's Theorem 费马定理的特例
Gulf Journal of Mathematics Pub Date : 2022-09-16 DOI: 10.56947/gjom.v13i2.868
L. Gallardo
{"title":"Special case of Fermat's Theorem","authors":"L. Gallardo","doi":"10.56947/gjom.v13i2.868","DOIUrl":"https://doi.org/10.56947/gjom.v13i2.868","url":null,"abstract":"We prove under a mild condition that the only rationals x, y with x ≥ 0, y≥ 0 and x+y=N(k), for some k ∈ Q*, and xp+yp=1 are x=0, y=1 and x=1, y=0. Here, we let N denote the norm from Q(ωp) to Q for p an odd prime number.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133884209","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
Certain cubic reduction formulas involving hypergeometric functions 某些涉及超几何函数的三次约简公式
Gulf Journal of Mathematics Pub Date : 2022-09-16 DOI: 10.56947/gjom.v13i2.788
S. Malik, M. I. Qureshi
{"title":"Certain cubic reduction formulas involving hypergeometric functions","authors":"S. Malik, M. I. Qureshi","doi":"10.56947/gjom.v13i2.788","DOIUrl":"https://doi.org/10.56947/gjom.v13i2.788","url":null,"abstract":"In this paper, we obtain a new general double infinite series identity (in terms of the sum of three infinite series) involving the bounded sequence of arbitrary complex numbers using Saalschutz summation theorem for terminating Clausen series. As application of our double series identity, we establish two cubic reduction formulas for Srivastava-Daoust double hypergeometric functions in terms of generalized hypergeometric function with suitable convergence conditions. By the theory of analytic continuation, our cubic reduction formula is also valid in -211/25≤R(z)≤3/4 when F(z)=0, using Mathematica software.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125196208","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
Weighted parametric divergence models for discrete probability distributions 离散概率分布的加权参数散度模型
Gulf Journal of Mathematics Pub Date : 2022-09-16 DOI: 10.56947/gjom.v13i2.721
M. Sarangal, O. Parkash
{"title":"Weighted parametric divergence models for discrete probability distributions","authors":"M. Sarangal, O. Parkash","doi":"10.56947/gjom.v13i2.721","DOIUrl":"https://doi.org/10.56947/gjom.v13i2.721","url":null,"abstract":"In the literature of information measures, it is well acknowledged phenomenon that distance models in probability spaces discover incredible applications in a diversity of disciplines related with science and technology. The significance of these models after attaching weights to the occurring events cannot be disregarded. The present communication is a footstep in the construction of such divergence models. We have developed two new weighted parametric divergence models for the discrete probability distributions and proved their legitimacy after studying their indispensable properties.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"199 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124458962","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
Existence and uniqueness of renormalized solution to multivalued homogeneous Neumann problem with L1-data 具有l1数据的多值齐次Neumann问题重整解的存在唯一性
Gulf Journal of Mathematics Pub Date : 2022-09-16 DOI: 10.56947/gjom.v13i2.590
Arouna Ouédraogo, Tiyamba Valea
{"title":"Existence and uniqueness of renormalized solution to multivalued homogeneous Neumann problem with L1-data","authors":"Arouna Ouédraogo, Tiyamba Valea","doi":"10.56947/gjom.v13i2.590","DOIUrl":"https://doi.org/10.56947/gjom.v13i2.590","url":null,"abstract":" In this paper, we discuss the existence and uniqueness of renormalized solution to nonlinear multivalued elliptic problem  β(u)-div a(x, Du) ∈ f with homogeneous Neumann boundary conditions and L1 -data. The functional setting involves Lebesgue and Sobolev spaces with variable exponent. Some a-priori estimates are used to obtain our results.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"391 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124503696","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
Some results about weakly S-primary ideals of a commutative ring 交换环弱s -原初理想的一些结果
Gulf Journal of Mathematics Pub Date : 2022-07-19 DOI: 10.56947/gjom.v13i1.928
Essebti Massaoud, Badreddine Gouaid
{"title":"Some results about weakly S-primary ideals of a commutative ring","authors":"Essebti Massaoud, Badreddine Gouaid","doi":"10.56947/gjom.v13i1.928","DOIUrl":"https://doi.org/10.56947/gjom.v13i1.928","url":null,"abstract":"Let R be a commutative ring with identity and S ⊊ R a multiplicative subset. We define a proper ideal P of R disjoint from S to be weakly S-primary if there exists an s ∈ S such that for all a, b ∈ R if 0≠ ab ∈ P then sa ∈ P or sb ∈ √P. We show that weakly S-primary ideals enjoy analogs of many properties of weakly primary ideals and we study the form of weakly S-primary ideals of the amalgamation of A with B along an ideal J with respect to f (denoted by A ⋈fJ). Weakly S-primary ideals of the trivial ring extension are also characterized.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114853765","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
Invariance of convex sets: An alternative proof and application to Black-Scholes operator 凸集的不变性:Black-Scholes算子的另一种证明及其应用
Gulf Journal of Mathematics Pub Date : 2022-07-19 DOI: 10.56947/gjom.v13i1.929
Chakir Hilmi, A. Sani, Samir Elmourchid
{"title":"Invariance of convex sets: An alternative proof and application to Black-Scholes operator","authors":"Chakir Hilmi, A. Sani, Samir Elmourchid","doi":"10.56947/gjom.v13i1.929","DOIUrl":"https://doi.org/10.56947/gjom.v13i1.929","url":null,"abstract":"An alternative proof of invariance of convex sets by the solution of non autonomous Cauchy problem is given. The proof is based on the recent integral approximation of time dependent operators A(t) acting on Hilbert space when they are associated with smooth sesquilinear forms a(t,.,.) defined on common dense domain and the known Chernoff Product Formula. An application to positivity of Black-Scholes operator is given.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"78 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124092296","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 train algebras of degree 2 and exponent 4 关于2次4次的列代数
Gulf Journal of Mathematics Pub Date : 2022-07-19 DOI: 10.56947/gjom.v13i1.926
W. A. Zangre, André Conseibo
{"title":"On train algebras of degree 2 and exponent 4","authors":"W. A. Zangre, André Conseibo","doi":"10.56947/gjom.v13i1.926","DOIUrl":"https://doi.org/10.56947/gjom.v13i1.926","url":null,"abstract":"In this paper, we deal with a class of nonassociative algebras called train algebras of degree 2 and exponent 4; Thus we give some results on algebras verifying a train identity of degree 2 and exponent 4. The structure of this class of algebras is studied through Peirce decomposition relative to a non zero idempotent. We give the necessary and sufficient conditions for an algebra verifying a train identity of degree 2 and exponent 4 to be Bernstein or train algebra of rank less than or equal to 3. Finally, we give some necessary conditions that must be verified by a train algebra of degree 2 and exponent 4, mainly in dimension four.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116006427","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
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