Papers

Assistant Professor, Department of Mathematics Pachaiyappa’s College Chennai (INDIA)

Of interest in this theory is the question of determining the circular chromatic number of product graphs. There are four kinds of graph products: (i) Cartesian Product (G 􀀀 H), (ii) Direct Product (G × H), (iii) Lexicographic Product (G . H) and (iv) Strong product (G 􀀀 H).

Texas A&M University-Commerce, Texas (USA)

Within this paper, questions concerning open set and closed set subspaces of T1 spaces are investigated and resolved.

¹Professor, Department of Mathematics in SBM College of Engineering and Technology, Dindigul, Tamil Nadu (INDIA)
²Department of Mathematics in SBM College of Engineering and Technology, Dindigul, Tamil Nadu (INDIA)
³R&D, Advisor in Rajalakshmi Engineering College, Affiliated to Anna University Chennai, Tamil Nadu (INDIA)

email : vidhyamannan@yahoo.comEmail: manokavi.j@gmail.com 

In the software development life cycle, the identification of errors/bugs plays an important role, as the end product should be bug free. This can be achieved through the concept of program slicing. Generally, program slice has a wider spectrum of applications that includedebugging, testing, maintenance, code understanding, complexity measurement, security etc., There are two different categories of program slicing namely, static slicing and dynamic slicing which can be identified using connected graph and its structural arrangements. Existing slicing techniques were implemented over intra procedural non composite data [only which doesn’t include arrays, structure, union etc,]. In the proposed work static program slicing concepts is applied over array of elements using finite state machine (FSM) method. Here, backward slicing techniques are applied to get quality output.

Govt. Motilal Vigyan Mahavidyalaya, Bhopal (INDIA)

The object of the present note is to extend the theorems of Sachan (E,q) (C,1) summability, q0 of derived Fourier series.

Department of Mathematics S.M. Post – Graduate College, Chandausi – 244412 (INDIA)

In this paper we have proved a theorem on generalized Nörlund summability Factors of infinite series , which generalizes various known results. However our theorem is as follows : Theorem : Let {pn} be a non-negative and non-increasing, {xn}
is a positive non-decreasing sequence and {n} is a positive decreasing sequence

¹Post Graduate Department of Mathematics S.K.M. University, Dumka (Jharkhand) (INDIA)
²Research Scholar, S.K.M. University, Dumka (Jharkhand) (INDIA)

The paper is addressed to the introduction of some fuzzy stacks as to how they play an important role on extended fuzzy
topology and its results.

Department of Mathematics, Nehru (P.G.) College, Chhibramau, Kannauj (U.P.) (INDIA)
E-mail : garg_manoj1972@yahoo.co.in

In this paper, we introduce a new type of open function namely quasi **g-open function. Further we obtain its characterizations and its basic properties.

1Department of Mathematics, CL Jain (PG) College, Firozabad-283203 (INDIA)
2Department of Mathematics, Krishna Girls Engineering College, Kanpur-209 217 (INDIA)

Combined effect of Hall current, rotation and radiation on unsteady heat and mass transfer flow of a viscous, electrically conducting, incompressible fluid past an accelerated porous plate is investigated analytically. The plate is subjected to suction and injection. The fluid is gray, absorbing-emitting but non-scattering medium and the Rosseland approximation is used to describe the radiative heat flux in the energy equation. The non-dimensional equations governing the flow are solved by the use of Laplace transform technique. Numerical computations for effects of different parameters on the velocity, the temperature, the concentration field, the skin-friction, the Nusselt number and the Sherwood number are obtained, shown graphically or presented in tabular form followed by detailed discussion.

¹Gopobandhu Science College, Athgarh, Cuttack,Odisha Pin-754029 (INDIA)
²College of Basic Science and Humanities, Orissa University of Agriculture and Technology,Bhubaneswar, Odisha (INDIA)
Email :minaketan_mahanti@yahoo.com Email :lokanath.math@gmail.com

Let be a random polynomial such that ( ) is a sequence of mutually independent normally distributed random variables with mean zero and variance one; ( ) be a sequence of normalized Jacobi polynomials , orthogonal with respect to the interval (-1,1). It is proved that the average number of points of inflection of the random equation y=0 is asymptotic to .

¹Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711103, W.B. (INDIA)
²Department of Mathematics, Shibpur D.B. Institution(College), 412/1, G.T. Road, Howrah -711102, W.B. (INDIA)
E-mail: kalipadasamanta2010@gmail.com (correspoding author)    E-mail: bijoysamanta@yahoo.com

In this note, we have obtained some novel results on mixed trilateral generating relations involving the polynomials, Yn+r x k a-nk ( ; ) a modified form ofKonhauser biorthogonal polynomials, Yna (x;k) by group theoretic method. As special cases, we have obtained the corresponding results on generalized Laguerre polynomials. Some applications of our results are also discussed.