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- W2025682307 abstract "This conjecture was recently converted into a theorem in a rather surprising way. As fate would have it, the author of [4] taught a graduatelevel course in “Special Functions” at the University of Otago in 1979 in which she asked the students to solve a problem involving a certain binomial function. One of the students (Donal Krouse, who is now a graduate of the University of Otago-with First Class Honours in Mathematics) approached the problem in an unexpected way-and indicated that he would have the solution if he could establish a related result. Well, by coincidence, his “partial solution” combined with the “related result” to convert the conjecture into a theorem-and it was essentially this sequence of events that motivated this paper. (A slight modification of the original proof appears as the “first proof’ in Section 3. A new proof by Donal Krouse has now emerged, and it appears in Section 4.) 110 0022-247X/81/0901 lo-17$02.00/O" @default.
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- W2025682307 date "1981-09-01" @default.
- W2025682307 modified "2023-09-29" @default.
- W2025682307 title "Binomial functions with the stirling property" @default.
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- W2025682307 doi "https://doi.org/10.1016/0022-247x(81)90250-x" @default.
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