Enumerations for Compositions and Complete Homogeneous Symmetric Polynomial


  •  Soumendra Bera    

Abstract

We count the number of occurrences of t as the summands (i) in the compositions of a positive integer n into r parts; and (ii) in all compositions of n; and subsequently obtain other results involving compositions. The initial counting further helps to solve the enumeration problems for complete homogeneous symmetric polynomial.



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