1978/12/01 by Richard Askey · 5 citations
Mathematics · #Advanced Statistical Methods and Models #Mathematical functions and polynomials #Statistical Distribution Estimation and Applications
paper · doi:10.1080/00036817808839221
crossref issued 1978/12/01 · crossref published 1978/12/01 · crossref published-print 1978/12/01 · openalex publication_date 1978/12/01 · crossref published-online 2007/05/10 · crossref created 2007/06/25 · crossref deposited 2017/06/17 · openalex created_date 2025/10/10 · crossref indexed 2026/07/28 · openalex updated_date 2026/07/29
F. H. Jackson defined q-analogue of the gamma function which extends the q-factorial . This function is examined and analogues of many of the classical facts about the gamma function are obtained. These include an analogue of the Bohr-Mollerup theorem, an asymptotic formula for large x, the duplication formula, and two connections with sums that approximate beta function integrals. The behavior of this function as q changes is also considered