Gaussian binomial coefficients;
Rising binomial coefficients - Type 1 and Type 2;
Hypergeometric series;
Factorials;
Difference calculus;
D O I:
10.7546/nntdm.2020.26.2.142-147
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
This paper extends some work of Leonard Carlitz on rising binomial coefficients and hypergeometric series in the context of a result of Louis Saalschutz which has animated further work in a number of branches of mathematics as well as physics.
机构:
Univ New South Wales, Warrane Coll, Kensington, NSW 1465, Australia
RafflesKvB, Sydney, NSW 2065, AustraliaUniv New South Wales, Warrane Coll, Kensington, NSW 1465, Australia