iosr-Jm   Volume-5 ~ Issue-1

Abstract: Chain sampling plan for marshall olkin extended exponential distribution when the life-test is truncated at a pre-specified time are provided in this manuscript. The design parameters such as the minimum sample size and the acceptance number are obtained by satisfying the producer's and consumer's risks at the specified quality levels, under the assumption that the termination time and the number of items are pre-fixed.
Keywords: Truncated life test, Marshall olkin extended exponential distribution, Operating characteristics, Consumer's risk, Producer's risk.

[1] Baklizi,a. and El Masri,A.E.K. (2004), "Acceptance sampling plans based on truncated life tests in the Birnbaum Saunders mode l",
Risk Analysis, vol.24,1453-1457.
[2] Baklizi,a. (2003), "Acceptance sampling plans based on truncated life tests in the Pareto distribution of second kind ", Advances and
Applications in Statistics, vol.3,33-48.
[3] Balakrishnan, N., Leiva,V. and Lopez, J. (2007), "Acceptance sampling plans from truncated life tests based on generalized Birnbaum
Saunders distribution", communications in statistics – simulation and computation, vol.36,643-656.
[4] Dodge,H.F.(1955): Chain Sampling Plan.
[5] Gupta,S.S. and Groll,P.A. (1961), "Gamma distribution in acceptance sampling based on life tests",Journal of the American Statistical
Association,vol.56,942-970.
[6] Srinivasa Rao (2010), "Group acceptance sampling plans based on truncated life tests for Marshall – olkin extended Lomax
distribution",Electronic journal of Applied Statistical Analysis, Vol.3,Isse 1 (2010),18-27.
[7] Srinivasa Rao (2010), "Double acceptance sampling plans based on truncated life tests for Marshall – olkin extended exponential
distribution",Austrian journal of Statistics , Vol.40, (2011),Number 3, 169-176.
[8] Srinivasa Rao (2009), "Reliability test plans for Marshall – olkin extended exponential distribution",Applied Mathematical Sciences ,
Vol.3, (2009),Number 55, 2745-2755.

Abstract: The aim of the present paper is to study some new unified integral formulas associated with the H which was introduced by Inayat Hussain. In this paper we evaluated finite double integral involving H function with general arguments and new finite integral of Generalized Mellin- Barnes Type of contour integrals. . These formulas are unified in nature and act as the key formulas from which we can obtain as their special cases.
Keywords: Multiple Finite Difference Methods, Second Order, Boundary Value Problem, Block Methods, Multistep Methods

[1] A .A. Inayat - Hussain , New properties of hypergeometric series derivable from Feynman integral: I Transformation and reeducation formulae , J . Phys . A: Math. Gen .20, 4109 – 4117, 1987
[2] Erde'lyi. Higher Trancendental Functions ,vol. 1 , McGraw Hill 1953 .
[3] Erde'lyi. Higher Trancendental Functions ,vol. II. 1 , McGraw Hill 1953a
[4] H.M.Srivastava and M. Garg ,Some integrals involving a general class of polynomials and the multivariable Hfunction,
Rev.Rouinaine Phys.,32, 685−692,1987
[5] H.M.Srivastava,A contour integral involving fox's H-function , Indian J. Math. 14, 1 −6,1972.
[6] K.C. Gupta , R . C. Soni , On a basic integral formula involving the product of the H- function and Fox H- function , J . Raj .Acad.
Phy. Sci. , 4 (3) , 157-164 ,2006
[7] Meijer , C. S., On the G- function , Proc. Nat . Acad . Wetensch ,49, p.227,1946.
[8] Oberhettinger F, Tables of Mellin transforms (Berlin , Heidelberg , New York: Springer-Verlag),p.22,1974.
[9] Pandey ,Neelam . A Study of Generalized Hypergeometric Functions and its Applications. Ph. D. Thesis , A . P. S. University , Rewa ( M .P.) 2002.
[10] Raiville , E. D.,Special Function , Macmillan and Co. N.Y. 1967.

Abstract: The aim of this paper is to introduce the concept of Intimate mapping in metric space and prove a lemma and a common fixed point theorem for six mappings with Intimate mappings.
Keywords:Intimate mapping

[1] Cho, Y.J. Fixed points for compatible mapping of type (A). Math. Japan., 38, (1993), 497-508.
[2] Jungck,G [a] Commuting maps and fixed points, Amer. Math. Monthly, 83 , (1976), 261.
[3] Compatible mappings and common fixed Points (2), Internal. J. Math, and Math. Sci. 11,(1988), 285-288.
[4] Jungck, G., Murthy, P.P. and Cho Compatible mappings of type(A) and common fixed point. Math. Japonica, 38(2), (1993) , 381-
390.
[5] Math. and Math. Sci., 13, (1990), 61-66.
[6] Lohani, P.C. and Badshah, V.H. Compatible mappings and common fixed point for four mappings,
[7] Bull cal Math.Soc., 90, (1998), 301-308.
[8] Murthy, P. P. , Chang, S. S. , Cho, Y. J. and Sharma, B. K Compatible mappings of type (A) and common fixed point theorems.
Kyungpook Math. J., 32 ,(1992), 203-216.
[9] Pathak, H.K. Weak commuting mappings and fixed points. Indian J. Pure Appl. Math., 17 (2), (1986), 201-212.
[10] Prasad, D. Common fixed point mapping in a uniformly convex Banach Space with a new functional inequality. Indian J. Pure
Appl. Math., 15 (2), (1984), 115-120.

Abstract: An analysis of unsteady MHD flow of an electrically conducting visco-elastic fluid confined between two horizontal parallel non conducting plates in presence of a transverse magnetic field and Hall current is presented. The lower plate is a stretching sheet while the upper one is an oscillating porous plate, which is oscillating in its own plane. The motion of the fluid is produced by the stretching of the lower plate. A constant suction is applied at the upper plate and the stretching velocity is taken to be a linear function of distance along the channel. The equations governing the flow field are solved by perturbation technique. Expressions for velocity distribution of the flow field and non-dimensional skin-friction coefficient are obtained and presented graphically to observe the visco-elastic effect in combination of other flow parameters involved in the solution. The flow field is observed to be considerably affected by the visco-elastic parameter.
Keywords: Hall current, MHD, Oscillating porous plate, Perturbation technique, Stretching sheet, Suction parameter, Visco-elastic

[1] A. K. Borkakoti, A.Bharali, Hydro Magnetic Flow and Heat Transfer between Two Horizontal, the Lower Plate Being a Stretching
Sheet, Quart. Appl. Math, 40 (4), 1982, 461-467.
[2] T. C. Chiam, Micro Polar Fluid Flow over a Stretching Sheet, ZAMM, 62 (10), 1982, 565-568.
[3] K. R Rajagopal, Y. T. Na, A. S. Gupta, Flow of a Viscoelastic Fluid over Stretching Sheet, Rheol. Avta, 23 (2), 1984, 213-215
[4] R. S. Agarwal, R. Bhargava, A.V. S. Balaji, Finite Element Solution of Flow and Heat Transfer of a Micro Polar Fluid over a
Stretching Sheet, Int. J. Engg. Sci., 27 (11), 1989, 1421-1428.
[5] H. I. Anderson, MHD Flow of Viscoelastic Vluid Past a Stretching Surface, Acta Mech., 95 (1-4), 1992, 227-230.
[6] H. I. Anderson, K. H. Bech, B. S. Dandapat, Magnetohydrodynamics Flow of a Power Law Fluid over a Stretching Sheet, Int. J.
Non-Linear Mechanics, 27 (6), 1992, 929-936.
[7] M. I. Char, Heat and Mass Transfer in a Hydromagnetic Flow of the Visco-elastic Fluid over a Stretching Sheet, J. Math, Anal.
Appl., 186, 1994, 647-689.
[8] D. S. Chaun, Coupled Stretching Flow through a Channel Bounded by a Naturally Permeable Bed, Modeling, Measu. And Control
ASME Press, 47 (4), 1993, 55-64.
[9] H.S. Takhar, G. Nath, Unsteady Flow over a Stretching Surface with a Magnetic Field in a Rotating Fluid, ZAMP, 49 (6), 1998,
989-1001.
[10] M. Kumari, H. S. Takhar, G. Nath, Analytical Solution of Boundary Layer Equation over a Stretching Sheet with Mass Transfer,
Proc. Nat. Acad. Sci. India, 69A III (1999), 355- 372.