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Surendra kumar agarwal,Rachana Mathur,Harsh Vardhan Harsh 장전수학회 2017 Proceedings of the Jangjeon mathematical society Vol.20 No.3
An analysis is made for the study of two- dimensional laminar boundary layer flow of a viscous, incompressible fluid, along an infinite, porous, hot, vertical continuous moving plate. The governing partial differential equations are non-dimensionalized and are solved using Natural Transform Technique. The expressions for velocity field, temperature field, rate of heat transfer and skin-friction have been obtained. The influence of various physical parameters, such as Eckert number Ec, Prandtl number Pr, Grashoff number Gr, plate velocity α and heat source/sink parameters is extensively discussed with the help of graphs to show the physical aspects of the problem. It is found that these parameters significantly affect the flow and heat transfer.
CERTAIN SUMMATION FORMULAS DUE TO RAMANUJAN AND THEIR GENERALIZATIONS
RATHIE ARJUN K.,MALANI SHALOO,MATHUR RACHANA,CHOI JUNESANG Korean Mathematical Society 2005 대한수학회보 Vol.42 No.3
The authors aim at deriving four generalized summation formulas, which, upon specializing their parameters, give many summation identities including, especially, the four very interesting summation formulas due to Ramanujan. The results are derived with the help of generalized Dixon's theorem obtained earlier by Lavoie, Grondin, Rathie, and Arora.
최준상,Arjun K. Rathie,Shaloo Malani,Rachana Mathur 한국수학교육학회 2006 純粹 및 應用數學 Vol.13 No.4
In 194, Lavoie et al. have obtained twenty tre interesting resultsclosely related to the clasical Dixon’s theorem on the sum of a 3F2 by making asystematic use of some known relations among contiguous functions. We aim atshowing that hese results can be derived by using the same te chnique developedby Bailey with the help of Gaus’s umation theorem and gene ralized Kumer’stheorem obtained by Lavoie et al..
Certain summation formulas due to Ramanujan and their generalizations
Arjun K. Rathie,Shaloo Malani,Rachana Mathur,최준상 대한수학회 2005 대한수학회보 Vol.42 No.3
The authors aim at deriving four generalized summationformulas, which, upon specializing their parameters, give manysummation identities including, especially, the four veryinteresting summation formulas due to Ramanujan. The results arederived with the help of generalized Dixon's theorem obtained earlier by Lavoie, Grondin, Rathie, and Arora.