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**ON MULTIPLICATION OF HALL-LITTLEWOOD FUNCTIONS**

N. Sultana

Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan.

email: pdnaz@yahoo.com

** ****Abstract:** The subject of investigation in this paper is the multiplication of Hall-Littlewood symmetric functions. The main tool is to find the particular formula for the coefficient
(t) in the product of two HL-functions.

**Keywords**: HL-functions, horizontal strip, Schur function, Littlewood-Richardson rule.