• Extension of certain types of generating relations

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/100/02/0133-0136

    • Keywords

       

      Generating relations; combinatorial coefficients; Laguerre polynomials; lattice path enumeration

    • Abstract

       

      This paper gives a new expansion formula which essentially involves a double sum. As a consequence of our main result, eq. (6), various types of generating relations are seen to emerge and relevance with some known results is pointed out briefly. The usefulness of our main result is also indicated by considering its application to a probabilistic method for a lattice path enumeration problem.

    • Author Affiliations

       

      R K Raina1

      1. Department of Mathematics, College of Technology and Agricultural Engineering, Udaipur, Rajasthan - 313001, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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