Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (12): 1131-1135.

• 论文 • 上一篇    下一篇

ON THE LATTICE PATH METHOD IN CONVOLUTION-TYPE COMBINATORIAL IDENTITIES (II)—THE WEIGHTED COUNTING FUNCTION METHOD ON LATTICE PATHS

初文昌   

  1. Institute of Systems Science, Academia Sinica, Beijing
  • 收稿日期:1988-10-05 出版日期:1989-12-18 发布日期:1989-12-18

ON THE LATTICE PATH METHOD IN CONVOLUTION-TYPE COMBINATORIAL IDENTITIES (II)—THE WEIGHTED COUNTING FUNCTION METHOD ON LATTICE PATHS

Chu Wen-chang   

  1. Institute of Systems Science, Academia Sinica, Beijing
  • Received:1988-10-05 Online:1989-12-18 Published:1989-12-18

摘要: An independent method for paper [10] is presented. Weighted lattice paths are enumerated by counting function which is a natural extension of Gaussian multinomial coefficient in the case of unrestricted paths. Convolutions for path counts are investigated, which yields some Vandcrmondc-type identities for multinomial and q-multinomial coefficients.

Abstract: An independent method for paper [10] is presented. Weighted lattice paths are enumerated by counting function which is a natural extension of Gaussian multinomial coefficient in the case of unrestricted paths. Convolutions for path counts are investigated, which yields some Vandcrmondc-type identities for multinomial and q-multinomial coefficients.

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