In the present paper, an attempt has been made to express Infinite Double Integral Representation for polynomial set Rn(x, y). Many Interesting new results may be obtained as particular cases on separating parameter, which useful scientists, engineers and technology.AMS Subject classification: Special function-33c

This paper is an exploration of relationships between the Jones polynomial and quantum computing. We discuss the structure of the Jones polynomial in relation to representations of the Temperley Lieb algebra, and give an example of a unitary representation of the braid group. We discuss the evaluation of the polynomial as a generalized quantum amplitude and show how the braiding part of the eva...