The Journal of the Indian Mathematical Society
http://informaticsjournals.com/index.php/jims
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 /><span style="color: blue;">The Journal is Indexed in Scopus with <a href="http://scimagojr.com/journalsearch.php?q=21100259506&tip=sid&clean=0" target="_blank">H Index </a>3. It is also included in UGC Mandate. </span>Informatics Publishing Limited and The Indian Mathematical Societyen-USThe Journal of the Indian Mathematical Society0019-5839Mathematical Study of Hybrid Impulsive Pest Control Model with Stage Structuring
http://informaticsjournals.com/index.php/jims/article/view/20970
It is a need of time to use hybrid approach (biological and chemical) to control agriculture pests effectively, economically and safely. Most of the pests and natural enemies in their life history goes through two stages namely immature larva and mature adult. From this biological point of view, we purpose a pest control model with stage structuring in pests and natural enemies in the presence of impulsively released natural enemy and chemical pesticides. Using Floquet theory and small ampli- tude perturbation technique, the local stability of periodic solutions are discussed. The suffcient conditions for the global attractively of pest- extinction periodic solution and permanence of the system are obtained by using comparison technique of differential equations with impulsive effect. At last an extensive simulation is done to verify the theoretical ndings and to see the rich dynamical behavior of the system.Bhanu GuptaAmit SharmaSanjay K. Srivastava
Copyright (c) 2018 Journal of the Indian Mathematical Society
2018-06-012018-06-01853-426529010.18311/jims/2018/20970On Selectively Star-Lindelof Properties
http://informaticsjournals.com/index.php/jims/article/view/20145
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.Prasenjit BalSubrata BhowmikDavid Gauld
Copyright (c) 2018 Journal of the Indian Mathematical Society
2018-06-012018-06-01853-429130410.18311/jims/2018/20145Some Properties of Extended Hypergeometric Function and Its Transformations
http://informaticsjournals.com/index.php/jims/article/view/20979
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.Aparna ChaturvediPrakriti Rai
Copyright (c) 2018 Journal of the Indian Mathematical Society
2018-06-012018-06-01853-430531210.18311/jims/2018/20979Solutions of Some Linear Fractional Partial Differential Equations in Mathematical Physics
http://informaticsjournals.com/index.php/jims/article/view/20144
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.Ranjit R. DhundeG. L. Waghmare
Copyright (c) 2018 Journal of the Indian Mathematical Society
2018-06-012018-06-01853-431332710.18311/jims/2018/20144A Simple Generalization of Euler Numbers and Polynomials
http://informaticsjournals.com/index.php/jims/article/view/20981
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.Abdul HassenChristopher R. Ernst
Copyright (c) 2018 Journal of the Indian Mathematical Society
2018-06-012018-06-01853-432834110.18311/jims/2018/20981A Generalization of a Result of Birch and Swinnerton-Dyer
http://informaticsjournals.com/index.php/jims/article/view/20142
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 <em>n</em> non-homogeneous linear forms.Leetika KathuriaMadhu Raka
Copyright (c) 2018 Journal of the Indian Mathematical Society
2018-06-012018-06-01853-434235510.18311/jims/2018/20142On Nagata's Result about Height One Maximal Ideals and Depth One Minimal Prime Ideals (I)
http://informaticsjournals.com/index.php/jims/article/view/20123
<p>It is shown that, for all local rings (R,M), there is a canonical bijection between the set <em>DO(R)</em> of depth one minimal prime ideals ω in the completion <em><sup>^</sup>R</em> of <em>R</em> and the set <em>HO(R/Z)</em> of height one maximal ideals <em>̅M'</em> in the integral closure <em>(R/Z)'</em> of <em>R/Z</em>, where <em>Z </em>:<em>= Rad(R)</em>. Moreover, for the finite sets <strong>D</strong> := {<em>V*/V* </em>:<em>= (<sup>^</sup>R/ω)'</em>, ω ∈ DO(R)} and H := {<em>V/V := (R/Z)'<sub><em>̅M'</em></sub>, <em>̅M'</em> ∈ HO(R/Z)</em>}:</p><p>(a) The elements in <strong>D</strong> and <strong>H</strong> are discrete Noetherian valuation rings.</p><p>(b) <strong>D</strong> = {<em><sup>^</sup>V</em> ∈ <strong>H</strong>}.</p>Paula KempLouis J. Ratliff, Jr.Kishor Shah
Copyright (c) 2018 Journal of the Indian Mathematical Society
2018-06-012018-06-01853-435637610.18311/jims/2018/20123The Continuous Fractional Wavelet Transform on W-Type Spaces
http://informaticsjournals.com/index.php/jims/article/view/20984
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.Anuj KumarS. K. Upadhyay
Copyright (c) 2018 Journal of the Indian Mathematical Society
2018-06-012018-06-01853-437739510.18311/jims/2018/20984Coincidence Theorems in New Generalized Metric Spaces Under Locally g-transitive Binary Relation
http://informaticsjournals.com/index.php/jims/article/view/16383
<p>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].</p>Gopi PrasadRamesh Chandra Dimri
Copyright (c) 2018 Journal of the Indian Mathematical Society
2018-06-012018-06-01853-439641010.18311/jims/2018/16383New Classes of Statistically Pre-Cauchy Triple Sequences of Fuzzy Numbers Defined by Orlicz Function
http://informaticsjournals.com/index.php/jims/article/view/21408
In this article, the concept of statistically pre-Cauchy sequence of fuzzy real numbers having multiplicity greater than two defined by Orlicz function is introduced. A characterization of the class of bounded statistically pre-Cauchy triple sequences of fuzzy numbers with the help of Orlicz function is presented. Then a necessary and suffcient condition for a bounded triple sequence of fuzzy real numbers to be statistically pre-Cauchy is proved. Also a necessary and sufficient condition for a bounded triple sequence of fuzzy real numbers to be statistically convergent is derived. Further, a characterization of the class of bounded statistically convergent triple sequences of fuzzy numbers is presented and linked with Cesaro summability.Sangita SahaSantanu Roy
Copyright (c) 2018 Journal of the Indian Mathematical Society
2018-06-012018-06-01853-441142110.18311/jims/2018/21408Jordan Regular Generators of General Linear Groups
http://informaticsjournals.com/index.php/jims/article/view/20971
In this article Jordan regular units have been introduced. In particular, it is proved that for n ≥ 2, the general linear group GL(2; F<sub>2<sup>n</sup></sub>) can be generated by Jordan regular units. Further, presentations of GL(2, F<sub>4</sub>); GL(2, F<sub>8</sub>); GL(2, F<sub>16</sub>) and GL(2, F<sub>32</sub>) have been obtained having Jordan regular units as generators.Meena SahaiR. K. SharmaParvesh Kumari
Copyright (c) 2018 Journal of the Indian Mathematical Society
2018-06-012018-06-01853-442243310.18311/jims/2018/20971Unified Extensions of Strongly Reversible Rings and Links with Other Classic Ring Theoretic Properties
http://informaticsjournals.com/index.php/jims/article/view/20986
Let R be a ring, (M, ≤) a strictly ordered monoid and ω : M → <em>End</em>(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].R. K. SharmaAmit B. Singh
Copyright (c) 2018 Journal of the Indian Mathematical Society
2018-06-012018-06-01853-443444810.18311/jims/2018/20986On Generalized Pseudo-Projectively Recurrent Manifolds
http://informaticsjournals.com/index.php/jims/article/view/20039
<p>The object of the present paper is to study generalized pseudo-projectively recurrent manifolds. Some geometric properties of generalized pseudo-projectively recurrent manifolds have been studied under certain curvature conditions. Finally the existence of generalized pseudo-projectively recurrent manifold is shown by examples.</p>J. P. SinghC. Lalmalsawma
Copyright (c) 2018 Journal of the Indian Mathematical Society
2018-06-012018-06-01853-444946910.18311/jims/2018/20039Pseudo-Differential Operators of Homogeneous Symbol Associated with n-Dimensional Hankel Transformation
http://informaticsjournals.com/index.php/jims/article/view/21407
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.S. K. UpadhyayManmohan Singh Chauhan
Copyright (c) 2018 Journal of the Indian Mathematical Society
2018-06-012018-06-01853-447049310.18311/jims/2018/21407