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Category: Volume 24

On some generating functions of modified jacobi polynomials

C.S. BERA and A.K.CHONGDAR*
1Department of Mathematics, Bengal Engineering and Science University, Shibpur. P.O. Botanic Garden, Howrah- (INDIA)
E mail- chongdarmath@yahoo.co.in

ABSTRACT:

n this note, we have obtained a novel extension of a theorem on bilateral generating function of modified Jacobi polynomials from the existence of quasi – bilateral generating function by group theoretic method.

KEYWORDS: generating functions, Jacobi polynomials. AMS Subject Classification Code : 33A65 , 33A75.


n this note, we have obtained a novel extension of a theorem on bilateral generating function of modified Jacobi polynomials from the existence of quasi – bilateral generating function by group...

A Parametric Study of Point-Image-Quality Assessment of an Optical System with an Amplitude Apodiser

CH. VIJENDER* and A.SRISAILAM *
*Department of Mathematics, Osmania University, Hyderabad-500007, A.P. (INDIA)
Email: asmou22@yahoo.com

ABSTRACT:

In this paper, a parametric study of some of the most important corollaries of the Green’s function of an optical system has been carried out. The parameters chosen for this study are Full-Width at half-Maximum Negative amplitude, second order movement and Ripple Factor. The results obtained have been discussed with the help of graphs and tables

KEYWORDS: Mathematical optics, Fourier optics, Apodization


In this paper, a parametric study of some of the most important corollaries of the Green’s function of an optical system has been carried out. The parameters chosen for this study...

On the existence of supremum and infimum of fuzzy random variables

J. EARNEST LAZARUS PIRIYAKUMAR1 and M. VASUKY2
1Department of Mathematics, Tranquebar Bishop Manickam Lutheran College, Porayar – 609 307, S. India
2Department of Mathematics, Seethalakshmi Achi College for Women, Pallathur – 630 107, S. India
Email1: jelpriyakumar@yahoo.com

ABSTRACT:

This paper investigates upon the characteristics on the existence of supremum and infimum of fuzzy random variables. This paper provides an improved version of the supremum and infimum of fuzzy random variables which plays a crucial role in the theoretical framework of the same. Finally the existence of supremum and infimum of the level continuous fuzzy valued measurable functions on a closed interval is examined and a necessary and sufficient condition with which
its supremum and infimum can be attained, is provided

KEYWORDS: Fuzzy random variables, Fuzzy numbers, Fuzzy valued functions.


This paper investigates upon the characteristics on the existence of supremum and infimum of fuzzy random variables. This paper provides an improved version of the supremum and infimum of...

A study of oscillatory blood flow through porous medium in a stenosed artery

GAURAV MISHRA, RAVINDRA KUMAR and K. K. SINGH
Department of Mathematics, Agra College Agra U.P. (INDIA)
Email ID: rkpal.maths@gmail.com

ABSTRACT:

The purpose of this paper is to study the oscillatory flow of blood through porous medium in a rigid tube with a mild stenosis. Here we assumed that the blood behaves as a Newtonian fluid and the maximum height of the roughness is very small compared with the radius of the unconstricted tube. The expressions are given for the instantaneous flow rate, resistive impedance and wall shear stress.

KEYWORDS: Oscillatory flow, Blood, Stenosed artery and Porous medium.


The purpose of this paper is to study the oscillatory flow of blood through porous medium in a rigid tube with a mild stenosis. Here we assumed that the blood behaves...

Finite Sets, Separation Axioms, and Equivalences of Open and Closed Images

CHARLES DORSETT
Texas A&M University-Commerce

ABSTRACT:

Within this paper nonempty finite sets are further characterized using closed images and the R0 and R1 separation axioms, and equivalences of open and closed images are given for T1 and R0 spaces

KEYWORDS: finiteness, open and closed images, separation axioms, and discreteness. Subject classification: 54A05, 54C10, 54D10, 54D15.


Within this paper nonempty finite sets are further characterized using closed images and the R0 and R1 separation axioms, and equivalences of open and closed images are given for T1 and...

Order-dimensional topological spaces

*KIRAN SHRIVASTAVA, **VIJETA IYER and ***ABHA GOLHANI
*Department of mathematics, S.N.G.G.P.G. College, Bhopal (INDIA)
**Department of mathematics, S.N.G.G.P.G. College, Bhopal (INDIA)
***Department of mathematics, S.N.G.G.P.G. College, Bhopal (INDIA)
*Email: kiranshri_1@rediffmail.com
**Email: vijeta_iyer@yahoo.com

ABSTRACT:

In is paper order – dimensional topological spaces are introduced. Several basic properties relating to order – dimension defined in terms of order of elements are established. The definitions of order of an element and of a set in a topological space are taken from4 and 5 respectively.

KEYWORDS: order of an element, order of a set, order of a topology, finite order dimensional, order topological dimension Subject Classification : AMS (2000) : 54 A 99.


In is paper order – dimensional topological spaces are introduced. Several basic properties relating to order – dimension defined in terms of order of elements are established. The definitions of order...

On fuzzy feebly open sets and fuzzy feebly closed sets

T. THANGAM1, K. BAGEERATHI2 and P. THANGAVELU3
1,2Department of Mathematics, Govindammal Aditanar College for Women, Tiruchendur-628215 (INDIA)
3Department of Mathematics, Karunya University, Coimbatore (INDIA)
e-mail: sivarathi_2006@yahoo.in, thangammathavan@yahoo.com e-mail: ptvelu12@gmail.com , thangavelu@karunya.edu

ABSTRACT:

In this paper we introduce the concept of fuzzy C –feebly open and fuzzy C –feebly closed sets by using arbitrary complement function C and by using fuzzy C – semi closure operators of a fuzzy topological space where C :[0, 1] [0, 1] is a function and investigate some of their basic properties of a fuzzy topological space.

KEYWORDS: Fuzzy C - feebly open, fuzzy C - feebly closed sets, fuzzy C -quasi-coincident, fuzzy C -q-neighborhood and fuzzy topology. MSC 2010: 54A40, 3E72.


In this paper we introduce the concept of fuzzy C –feebly open and fuzzy C –feebly closed sets by using arbitrary complement function C and by using fuzzy C – semi...

Closedown time dependent Bulk queue with multiple vacations

RAM KHILAWAN TIWARI1, NAVAL KISHOR CHAURASIYA1 and DHARMENDRA BADAL2
Department of Mathematics, G.B.S. College, Mauranipur (INDIA)
Department of Mathematical Sciences and Computer Application, Bundelkhand University, Jhansi, U.P. (INDIA)

ABSTRACT:

In this paper a Closedown time concent is introduced in a Bulk queuing model closedown time dependent a MX/G(a,b)/queuing system with multiple vacation is considered. After completing a service, if the queue length is  , where  <a, then the server performs closedown work. After that the server leaves for multiple vacation of random length, irrespective of queue length. After a vacation, when it returns. If the queue length is less than ‘a’, it leaves for another vacation and so on, until he finds ‘a’ customers in the queue. After a vacation, if the server finds at least ‘a’ customers waiting for service, say , then he serves a batch of size min (,b) customers, where b >a. Various Characteristics of the queueing system and a cost model with the numerical result for a particular case of the model are presented in this paper.

KEYWORDS: Bulk queue, multiple vacations, closedown times


In this paper a Closedown time concent is introduced in a Bulk queuing model closedown time dependent a MX/G(a,b)/queuing system with multiple vacation is considered. After completing a service, if the queue...

A Solution of Longitudinal dispersion of miscible fluid flow through porous media by Bender-Schmidt method

TWINKLE SINGH
AMHD, SVNIT, Surat-395007 (INDIA)
Applied Mathematics and Humanites Department Sardar Vallabhbhai National
Institute of Technology Surat-395.007, Gujarat (INDIA

Email:-twinklerpatel@gmail.com

ABSTRACT:

The present paper discusses the solution of longitudinal dispersion of miscible fluid flow in porous media by numerical
method.

KEYWORDS: Longitudinal dispersion ,Bender-Schmidt method


The present paper discusses the solution of longitudinal dispersion of miscible fluid flow in porous media by numerical method.

A generalization of fuzzy alpha-boundary

K. BAGEERATHI1 and T. THANGAM2
1,2Department of Mathematics, Govindammal Aditanar College for Women, Tiruchendur-628215 (India)
e-mail: sivarathi_2006@yahoo.in, thangammathavan@yahoo.com

ABSTRACT:

The author has recently introduced the concepts of fuzzy C – boundary3, fuzzy C -semi-boundary6 and fuzzy C -pre boundary7 where C :[0, 1] [0, 1] is a function. The purpose of this paper is to introduce the concept of fuzzy C-alpha boundary and investigate some of their basic properties of a fuzzy topological space.

KEYWORDS: Fuzzy C - alpha boundary, fuzzy C - - closed sets and fuzzy topology. MSC 2010: 54A40, 3E72.


The author has recently introduced the concepts of fuzzy C – boundary3, fuzzy C -semi-boundary6 and fuzzy C -pre boundary7 where C :[0, 1] [0, 1] is a function. The purpose...