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ФУНКЦИОНАЛЬНЫЕ СООТНОШЕНИЯ, ВЫВОДИМЫЕ ИЗ ОПРЕДЕЛЕНИЯ ГИПЕРГЕОМЕТРИЧЕСКОЙ ФУНКЦИЙ АППЕЛЯ ( )

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Научный вестник Ферганского государственного университета

Научный вестник Ферганского государственного университета

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АННОТАЦИЯ СТАТЬИ

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В этой статье рассматривается новая взаимосвязь между гипергеометрической функцией Аппеля ( ) 1 1 2 F a;b ,b ;c; x, y и функцией Кампе де Фериет F44;3;4,3,4 [x, y] . Рассмотрено метод разложение на ряд гипергеометрической функции Аппеля, а также использовано метод группировки членов равномерно сходящегося степенного ряда. Из полученного соотношения получено, что существуют связь между функциями Гаусса, обобщенной гипергеометрической функцией 8 F7(x4) и гиперболическими косинусами.

АВТОРЫ

A.Xasanov

Namangan state university

Y.Tolasheva

Namangan state university

Теги

# гипергеометрик фунциялар# Аппел функцияси# гипергеометрическиe функции# функцией Аппеля# hypergeometric functions# Appel function

ДРУГИЕ СТАТЬИ ЭТОГО ЖУРНАЛА

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https://eroi.uz/11.0106/A1022-0131

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