https://www.informaticsjournals.com/index.php/jims/issue/feed The Journal of the Indian Mathematical Society 2022-08-23T12:27:53+00:00 Peeyush Chandra editor@informaticsjournals.com Open Journal Systems <div id="i-scholarabout"><img class="media-object" style="width: 222px; float: left; margin: 0px 16px 15px 20px;" src="https://www.informaticsjournals.com/public/journals/9/journalThumbnail_en_US.jpg" /> <p style="margin-left: 261px;"><strong>Editor :</strong> Peeyush Chandra<br /><strong>Online ISSN :</strong> 2455-6475<br /><strong>Print ISSN :</strong> 0019-5839<br /><strong>Frequency :</strong> Quarterly<br /><strong>Publisher/s :</strong> Informatics Publishing Limited, The Indian Mathematical Society</p> <!--div id="jnr_mq" style="color: red; font-size: 18px;">Neither Informatics nor the Indian Mathematical Society has appointed any agent for publishing papers in the Journal of the Indian Mathematical Society. Also, none of us charge any publication/ processing/ page charges or any other fees for publishing a paper</div--> <!--p><a style="color: red; font-size: 20px;" href="/informaticsjournals.com/public/journals/1/ext_list_January_2022.xlsx">Download SCOPUS LIST</a></p--> <p>The Indian Mathematical Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onward, it is published as its current title 'The Journal of Indian Mathematical Society.<br /><br /><span style="color: blue;">The Journal is Indexed in Scopus with <a href="http://scimagojr.com/journalsearch.php?q=21100259506&amp;tip=sid&amp;clean=0" target="_blank" rel="noopener">H Index </a>3. Included in UGC's - CARE List of Journals (Group A) </span></p> </div> <p id="homecontent"><a href="http://jgateplus.com/" target="blank"><img src="https://www.srels.org/public/journals/57/jgate.png" alt="" width="160" height="77" /></a><a href="http://www.i-scholar.in/" target="blank"><img src="https://www.srels.org/public/journals/57/scholar.png" alt="" width="160" height="77" /></a><a href="#" target="_blank" rel="noopener"><img src="https://www.srels.org/public/journals/57/scilit.png" alt="" /></a></p> https://www.informaticsjournals.com/index.php/jims/article/view/28908 Mehler-Fock, Legendre Integral Transforms with Applications 2022-08-23T12:27:53+00:00 A. Aghili arman.aghili@gmail.com In this paper we study some properties of the Mehler-Fock and Legendre transforms. Certain integrals involving associated Legendre function, Gamma function and modi?ed Bessel’s function are evaluated. Constructive examples are also provided. 2022-08-23T00:00:00+00:00 Copyright (c) 2022 The Journal of the Indian Mathematical Society https://www.informaticsjournals.com/index.php/jims/article/view/28375 A Note on f-Biharmonic Curves in Lorentzian Heisenberg and Lorentzian Sol<sub>3</sub> Spaces 2022-08-23T07:21:22+00:00 Murat Altunbas maltunbas@erzincan.edu.tr Some characterizations are given for f-biharmonic curves in three-dimensional Lorentzian Heisenberg and Lorentzian Sol<sub>3</sub> spaces. 2022-08-23T00:00:00+00:00 Copyright (c) 2022 The Journal of the Indian Mathematical Society https://www.informaticsjournals.com/index.php/jims/article/view/25345 A Generalization of Class of Humbert - Hermite Polynomials 2022-08-23T07:25:49+00:00 Saniya Batra saniyabatra8@gmail.com Prakriti Rai prakritirai.rai@gmail.com A generalization of Humbert-Hermite polynomials is de?ned in this paper. Moreover, several generalizations of Hermite-Gegenbauer polynomials, Hermite-Legendre and Hermite-Chebyshev polynomials are established. 2022-08-23T00:00:00+00:00 Copyright (c) 2022 The Journal of the Indian Mathematical Society https://www.informaticsjournals.com/index.php/jims/article/view/25773 Fiedler Linearizations for Higher Order State-Space Systems 2022-08-23T07:27:45+00:00 Namita Behera nbehera@cus.ac.in Consider a higher order state space system and associated system matrix S(?). The aim of this paper is to linearize the higher order system preserving system characteristics. That is, we derive a linearized state space system of the given higher order system preserving system characteristics(e.g., controllability, observability, various zeros and transfer function) for analysis of higher order systems which gives the solution for higher order system. We study recovery of zero directions of higher order state space system from those of the linearizations. That is, the zero directions of the transfer functions associated to higher order state space system are recovered from the eigenvectors of the Fiedler pencils without performing any arithmetic operations. 2022-08-23T00:00:00+00:00 Copyright (c) 2022 The Journal of the Indian Mathematical Society https://www.informaticsjournals.com/index.php/jims/article/view/29627 Biharmonic Curves in Three-Dimensional Generalized Symmetric Spaces 2022-08-23T07:29:02+00:00 Mansour Belarbi abdallah.medjadj@univ-mascara.dz Hichem Elhendi elhendihichem@yahoo.fr Lakehal Belarbi lakehalbelarbi@gmail.com In this paper, we study biharmonic curves in three-dimensio -nal generalized symmetric spaces, equipped with a left-invariant pseudo- Riemannian metric. We characterize non-geodesic biharmonic curves in three-dimensional generalized symmetric spaces and prove that there ex- ists no non-geodesic biharmonic spacelike helix in three-dimensional gen- eralized symmetric spaces. We also show that a linear map from a Eu- clidean space in three-dimensional generalized symmetric spaces is bihar- monic if and only if it is a harmonic map, and give a complete classification of such maps. 2022-08-23T00:00:00+00:00 Copyright (c) 2022 The Journal of the Indian Mathematical Society https://www.informaticsjournals.com/index.php/jims/article/view/30791 Cyclic and Constacyclic Codes for F<sub>2</sub>[u,v]/<u<sup>2</sup>,v<sup>3</sup> – v,uv,vu> 2022-08-23T12:23:21+00:00 TH. Rojita Chanu rojitachanu@gmail.com ST. Timothy Kom timothyserto@manipuruniv.ac.in O. Ratnabala Devi ratnabala@manipuruniv.ac.in In this paper, we study cyclic and β-constacyclic codes over the ?nite commutative ring R = F<sub>2</sub>[u,v]/&lt;u<sup>2</sup>,v<sup>3</sup> ? v,uv,vu&gt; with ? = (1+u),(1+u+v+v<sup>2</sup>) and (1+v+v2). We establish a Gray map from R to F<sup>4</sup><sub>2</sub> and prove that the Gray image of a cyclic code is a quasi-cyclic code of index 4. It is also shown that the Gray image of β-constacyclic code overRis either β-equivalent, β-equivalent or β-equivalent to a quasi-cyclic code of length 4n and index 4 over F<sub>2</sub> when ? = (1 + u),(1 + u + v + v<sup>2</sup>) and (1 + v + v<sup>2</sup>), respectively. 2022-08-23T00:00:00+00:00 Copyright (c) 2022 The Journal of the Indian Mathematical Society https://www.informaticsjournals.com/index.php/jims/article/view/29628 Gowers U<sub>3</sub> Norm of Cubic MMF Bent-Negabent Functions Constructed by using Feistel Functions 2022-08-23T08:29:45+00:00 Saral Datta saraldutta@gmail.com Sugata Gangopadhyay gsugata@gmail.com Sanjib Kumar Datta sanjibdatta05@gmail.com We obtain the Gowers U<sub>3</sub> norm of a class of cubic Maiorana-McFarland bent{negabent functions constructed by using Feis- tel functions. 2022-08-23T00:00:00+00:00 Copyright (c) 2022 The Journal of the Indian Mathematical Society https://www.informaticsjournals.com/index.php/jims/article/view/26313 Ball Convergence of Modified Homeier-Like's Method in Banach Spaces under Weak Continuity Condition 2022-08-23T08:33:42+00:00 Neha Gupta neha.gupta.mh@gmail.com J. P. Jaiswal asstprofjpmanit@gmail.com The aim of this study is to analyze the local convergence of the multi-step Homeier's-like method for solving nonlinear equations in Banach space. Furthermore, we avoid hypotheses on high order derivatives which limit the applicability of the method. Instead, we only use hypotheses on the first derivative. Thus the applicability of the method has been extended by preserving the order of convergence. The convergence of the solution is proved under the weak hypotheses i.e. $\omega$-continuity condition. Some numerical instances where earlier results cannot be applied to solve equations but our results can be applied are provided to validate the theoretical contribution. 2022-08-23T00:00:00+00:00 Copyright (c) 2022 The Journal of the Indian Mathematical Society https://www.informaticsjournals.com/index.php/jims/article/view/25986 Landau-Kolmogorov and Gagliardo-Nirenberg Inequalities for Differential Operators in Lorentz Spaces 2022-08-23T08:38:46+00:00 Vu Nhat Huy nhat_huy85@yahoo.com Ngoc Huy Nguyen huynn@tlu.edu.vn <p>In this paper, we establish some Landau-Kolmogorov inequalities and Gagliardo-Nirenberg inequalities for di?erential operators generated by polynomials. We illustrate the relation between ||P(D)f||<sub>N?</sub> and ||f||N?, ||D<sup>m</sup>(P(D)f)||<sub>N?</sub> as follows</p><p>||P(D)f||<sub>N?</sub> K<sub>1</sub>(E)||f||<sub>N?</sub> + K<sub>2</sub>(E)||D<sup>m</sup>(P(D)f)||<sub>N?</sub></p><p>for all E &gt; 0, where ||.||N? is the norm in Lorentz spaces N?(R). The corresponding inequalities in L<sup>p</sup>(R<sup>n</sup>) is also obtained.</p> 2022-08-23T00:00:00+00:00 Copyright (c) 2022 The Journal of the Indian Mathematical Society https://www.informaticsjournals.com/index.php/jims/article/view/25870 Convergence Analysis of Havelock-Type Eigenfunction Expansions for Hydroelastic Problems in Water having Infinite Depth 2022-08-23T08:40:48+00:00 Santanu Koley santanukoley1989@gmail.com <div class="page" title="Page 1"><div class="layoutArea"><div class="column"><p><span>The present paper demonstrates the point-wise convergence of the Havelock-type eigenfunction expansion to the velocity potentials associated with the water waves interaction with flexible plate and membranes in water having infinite depth. To consider the higher-order boundary condition at the mean free surface of the water domain, flexible plate and membranes are assumed to float in the mean water level. In the convergence analysis procedure, firstly, the havelock-type eigenfunction expansion for the unknown velocity potentials associated with the physical problems are obtained. Hereafter, a suitable Green's function is developed for the associated physical problem. Using the developed Green's function and the associated properties, the vertical components of the Havelock-type eigenfunction expansion is expressed in terms of the Dirac delta function. Finally, using appropriate properties of the Dirac delta function, the point-wise convergence of the Havelock-type eigenfunction expansion is demonstrated.</span></p></div></div></div> 2022-08-23T00:00:00+00:00 Copyright (c) 2022 The Journal of the Indian Mathematical Society https://www.informaticsjournals.com/index.php/jims/article/view/26751 Infinite Order of Growth of Solutions of Second Order Linear Differential Equations 2022-08-23T10:18:54+00:00 Naveen Mehra naveenmehra00@gmail.com V. P. Pande vijpande@gmail.com We consider the di?erential equation f<sup>''</sup> +A(z)f<sup>'</sup> +B(z)f = 0, where A(z) and B(z) are entire complex functions. We improve various restrictions on coe?cients A(z) and B(z) and prove that all non-trivial solutions are of in?nite order. 2022-08-23T00:00:00+00:00 Copyright (c) 2022 The Journal of the Indian Mathematical Society https://www.informaticsjournals.com/index.php/jims/article/view/26254 Congruences for Overpartition Pairs with Restricted Odd Differences 2022-08-23T10:21:59+00:00 M. S. Mahadeva Naika msmnaika@rediffmail.com T. Harishkumar harishhaf@gmail.com <p>Let b<sup>-(k)</sup> (n) denote the number of overpartition pairs of n where (i) consecutive parts di?er by a multiple of k + 1 unless the larger of the two is overlined, and (ii) the smallest part is overlined unless it is divisible by k+1. We prove many in?nite families of congruences modulo powers of 2 and 3 for b<sup>-(2)</sup> (n) and congruences modulo 4 and 5 for b<sup>-(4)</sup> (n). For example, for all n ? 0 and ?,? ? 0,</p><p> </p><p>b<sup>-(4)</sup>(4·3<sup>4?</sup> ·5<sup>2?</sup>(5n + i) + 3<sup>4?</sup> ·5<sup>2?</sup>)? 0 (mod 5),</p><p>where i = 3,4.</p> 2022-08-23T00:00:00+00:00 Copyright (c) 2022 The Journal of the Indian Mathematical Society https://www.informaticsjournals.com/index.php/jims/article/view/26422 Approximation of Fourier Series of Functions in Besov Space by Borel Means 2022-08-23T10:24:31+00:00 B. P. Padhy birupakhya.padhyfma@kiit.ac.in A. Mishra m.anwesha17@gmail.com S. Nanda snanda@kiit.ac.in In the present article, a result on degree of approximation of Fourier series of functions in the Besov space by Borel mean is established. 2022-08-23T00:00:00+00:00 Copyright (c) 2022 The Journal of the Indian Mathematical Society https://www.informaticsjournals.com/index.php/jims/article/view/29629 Eigenvalue Bounds in an Azimuthal Instability Problem of Inviscid Swirling Flows 2022-08-23T10:25:52+00:00 S. Prakash sprakashnaveen@gmail.com M. Subbiah malaisubbiah@gmail.com We consider the eigenvalue problem of azimuthal instability of inviscid swirling ows between coaxial cylinders. It is shown that the complex eigenvalues corresponding to unstable azimuthal normal modes lie inside a semi-ellipse type region whose major axis coincides with the range of the angular velocity of the basic ow while its minor axis depends on the minimum Richardson number, the azimuthal wave number, and the width of the annular region between the coaxial cylinders. 2022-08-23T00:00:00+00:00 Copyright (c) 2022 The Journal of the Indian Mathematical Society https://www.informaticsjournals.com/index.php/jims/article/view/29630 Oscillation Result for Nonlinear Fourth-Order Homogeneous Neutral Delay Dynamic Equations 2022-08-23T10:27:33+00:00 N. Sikender sikender.n@gmail.com S. Rakmaiah rakmajirao@gmail.com We introduce an oscillatory result for fourth order homogeneous neutral delay dynamic equations on time scales, which deals with a unification and extension of the differential and difference equations depending upon the time scale defines on a continuous set and a discrete set respectively. 2022-08-23T00:00:00+00:00 Copyright (c) 2022 The Journal of the Indian Mathematical Society https://www.informaticsjournals.com/index.php/jims/article/view/24941 Multiple Periodic Solutions for a Class of p-Hamiltonian Systems 2022-08-23T10:29:45+00:00 Mohammad Reza Heidari Tavani m.reza.h56@gmail.com Abdollah Nazari nazari_mat@yahoo.com In this paper using a variational approach, the existence of three distinct periodic solutions for a class of p-Hamiltonian systems is established. 2022-08-23T00:00:00+00:00 Copyright (c) 2022 The Journal of the Indian Mathematical Society https://www.informaticsjournals.com/index.php/jims/article/view/26408 Conformal Riemannian Morphisms between Riemannian Manifolds 2022-08-23T10:31:06+00:00 R. B. Yadav rbyadav15@gmail.com Srikanth V. Kuppum kvsrikanth@iitg.ac.in In this article we introduce conformal Riemannian morphisms. The idea of conformal Riemannian morphism generalizes the notions of isometric immersions, Riemannian submersions, Riemannian maps and conformal Riemannian maps. 2022-08-23T00:00:00+00:00 Copyright (c) 2022 The Journal of the Indian Mathematical Society