Characterization Theorems for the B-q-Binomial and the q-Poisson Distributions
DOI:
https://doi.org/10.15407/mag18.02.182Анотація
У цiй роботi заново перевизначено i заново введено в компактнiй формi q-бiномiальний i q-гiпергеометричний розподiли. Цi перевизначенi розподiли названо B-q-бiномiальним i B-q-гiпергеометричним. Крiм того, узагальнення добре вiдомих характерiзацiй Патiла i Сешадрi наведено в q-аналiзi. Характеризацiї B-q-бiномiального i B-q-гiпергеометричного розподiлiв зображено з використанням умовного q-розподiлу. Наведено необхiднi i достатнi умови, якi визначають q-пуасонiвський розподiл.
Mathematical Subject Classification 2010: 62E10, 62H05, 60D05
Ключові слова:
q-аналiз, q-оператор додавання, характеризацiйна теоремаПосилання
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