Some functional identities derived from a single confluent hypergeometric function E₇
Some functional identities derived from a single confluent hypergeometric function E₇
DOI:
https://doi.org/10.56143/ujmcs.v1i2.18Keywords:
Конфлюэнтная гипергеометрическая функция; обобщённые гипергеометрические ряды; функциональные тождеcтва; модифицированные функции Бесселя; экспоненциальная функция.Abstract
In this paper, by decomposing the confluent hypergeometric function E₇ into eight parts, we demonstrate how some useful and generalized relations between the hypergeometric functions of Srivastava F⁽³⁾ and E₇ can be obtained. It is shown that the main results can be specified to derive certain relations among the functions F₁, Ξ₁, ₄F₃, ₂F₃, ₁F₂, ₁F₁, and F₂:₁;₁²:²;². Some other interesting functional relations involving the exponential function, hyperbolic functions, and modified Bessel functions are also discussed.
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