Papers

*Department of Mathematics, Shibli National P.G. College Azamgarh U.P. India

**Department of Mathematics,Rama Institute of Engineering and Technology Mandhana Kanpur UP India

Email:- adarshgangwar@rediffmail.com

In this paper, making use of q-derivative formula and certain known results, an attempt has been made to derive some elementary integral representation formulae for basic hypergeometric series which are seemed to be new and in different form. This approach leads us to a family of integral representations formulae.

Department of Mathematics, National Defence Academy, Pune-23 Maharashtra India

The authors have investigated the effects of radiation, heat and mass transfer on an unsteady MHD free convective flow of a viscous incompressible fluid through a porous medium in a horizontal channel with periodic cross-flow velocity. The flow occur in the channel is due to the motion of upper plate. Analytical solutions of the governing equations of fluid flow are found by using small time dependent perturbation technique to be in excellent agreement with analytical prediction. The effects of Hartmann number, heat radiation, free convection and mass transfer on the flow of the fluid are demonstrated through graphs.

Department of Mathematics V.S.S.D. College Kanpur India

 Here we prove, X is fuzzy compact if every collection of fuzzy closed subsets of X having fuzzy finite intersection property (f.i.p) has non empty intersection. We also define Lebesgue number for an open cover of a fuzzy set and Lebesgue covering lemma for a sequentially compact fuzzy metric space.

¹A.P.C Mahalaxmi College for Women, Turicorin Tamil Nadu India

²V.O. Chidambaram College Turicorin Tamil Nadu India

Email:-mahi_raj2005@yahoo.com

 In this paper, we discuss that some symmetric digraphs are directed path decomposable. Moreover, it is proved that if m ³ 3, t is odd, 3 £ t £ mn-1, gcd(m(m-1),t) £ m and tm(m-1)n, then P_t+1, a directed path of length t, decomposes (K_mo K), where o denotes the wreath product of graphs. Further, it is proved that if both t and m>=3 are odd, , gcd and ((m(m-1)/2,t) <=m and t(m(m-1)/2)n then P_t+1. decomposes K_m o K_n

¹Department of Mathematics, IPS Academy, Indore MP India

²Department of Mathematics, Govt. Narmada Mahavidyalaya Hoshangabad  MP India

Email:- praveen_jani980@rediffmail.com

In this note we prove common fixed point theorem for R-weak commutative mappings in fuzzy metric space using (S-B) property. We extend and improve results of Kumar and Fisher⁹

Department of Mathematics, Gauhati University Guahati India

Email:-anantarbora610@gmail.com

The present paper studies a new kind of Polynomials. Results obtained in this paper include a table, recurrence Relations, generating functions and Summation formulas for these new kind of polynomials. Many results reduce to their corresponding results for the Catalan numbers.

NRI Institute of Information Science and Technology Bhopal India

Email:- neema273@yahoo.co.in

The aim of this paper to prove a unique common fixed point theorem for compatible mapping of type(P) for four self maps using Banach contraction principle.

Department of Mathematics, Gauhati University Guahati India

Email:-anantarbora610@gmail.com

The present paper studies a q-analogue of numbers f(n,k) defined below, which involves Gaussian polynomials and in the process of discussion, we produce a table, recurrence relations, Summation formulae and a combinatorial interpretation of f(n, k ; q)

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¹Department of Mathematics, Agnos College of Technology Bhopal MP India

²Department of Mathematics, S.S.L Jain PG College Vidisha MP India

³Department of Mathematics, Saifia Science College Bhopal MP Indi

⁴Department of Mathematics, UIT RGPV Bhopal MP India

In this paper we are finding benefit of Transportation cost for Hindustan Petroleum Gas with the help of Transportation Problem (T.P.). Here we are solving T.P. using operation research approach in analysis from the collected data concerning with the transportation with essential item i.e Liquid Petroleum Gas from different suppliers of H.P. gas in Madhya Pradesh to different destination in Vidisha (M.P.). In this survey an attempt has been made to analysis the optimal solution obtained with basic feasible solution obtained using three methods are north west corner method; least cost method; vogel's approximation method and modi method for optimal solution.

¹Senior Lecturer, Department od Statistics Presidency College Autonomous Chennai India

²Professor and Head, Department of Computer Applications SRM University Kattankulathur India

 Data Envelopment Analysis Technique is used to rank the efficiency performance of a set of homogenous Decision Making Units. The authors have made an attempt to rank the efficiency performance of a selected set of States in India using Annual Survey of Industries data. Variable Returns to Scale methodology is used for identifying the states which are efficient for which the technical efficiency score is unity. The inefficient Decision Making Units are also listed.