Barnes-Ismagilov Integrals and Hypergeometric Functions of the Complex Field
Barnes-Ismagilov Integrals and Hypergeometric Functions of the Complex Field
复制标题
Barnes-Ismagilov 积分和复域的超几何函数
DOI：
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Y. Neretin
中科院分区：
文献类型：
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作者：
Y. Neretin
We examine a family ${}_pG_{q}^{mathbb C}ig[genfrac{}{}{0pt}{}{(a)}{(b)};zig]$ of integrals of Mellin-Barnes type over the space ${mathbb Z} imes {mathbb R}$, such functions $G$ naturally arise in representation theory of the Lorentz group. We express ${}_pG_{q}^{mathbb C}(z)$ as quadratic expressions in the generalized hypergeometric functions ${}_{p}F_{q-1}$ and discuss further properties of the functions ${}_pG_{q}^{mathbb C}(z)$.
We examine a family ${}_pG_{q}^{mathbb C}ig[genfrac{}{}{0pt}{}{(a)}{(b)};zig]$ of integrals of Mellin-Barnes type over the space ${mathbb Z} imes {mathbb R}$, such functions $G$ naturally arise in representation theory of the Lorentz group. We express ${}_pG_{q}^{mathbb C}(z)$ as quadratic expressions in the generalized hypergeometric functions ${}_{p}F_{q-1}$ and discuss further properties of the functions ${}_pG_{q}^{mathbb C}(z)$.
关于复伽马函数积分
DOI：
10.3842/sigma.2020.003
发表时间：
2020
期刊：
Symmetry, Integrability and Geometry: Methods and Applications
影响因子：
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作者：
S. E. Derkachov;A. N. Manashov
通讯作者：
A. N. Manashov