Некоторые Функциональные Тождества, Выводимые Из Одной Конфлюэнтной Гипергеометрической Функции E₇ От Трех Переменной
Некоторые Функциональные Тождества, Выводимые Из Одной Конфлюэнтной Гипергеометрической Функции E₇ От Трех Переменной
DOI:
https://doi.org/10.56143/ujmcs.v1i2.18Ключевые слова:
Конфлюэнтная гипергеометрическая функция; обобщённые гипергеометрические ряды; функциональные тождеcтва; модифицированные функции Бесселя; экспоненциальная функция.Аннотация
В этой статье, разбив конфлюэнтную гипергеометрическую функцию E₇ на восемь частей, мы показываем, как можно получить некоторые полезные и обобщённые соотношения между гипергеометрическими функциями Srivastava F⁽³⁾ и E₇.
Показано, что другие основные результаты конкретизируются, чтобы получить определённые соотношения между функциями F₁, Ξ₁, ₄F₃, ₂F₃, ₁F₂, ₁F₁ и F₂:₁;₁²:²;².
Также рассматриваются некоторые другие интересные функциональные соотношения между показательной функцией, гиперболическими функциями и модифицированными функциями Бесселя.
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