有理超几何恒等式

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2022-01-25 DOI:10.1134/S0016266321030096

G. A. Sarkissian, V. P. Spiridonov

引用次数: 5

摘要

考虑了Faddeev模量子二对数(双曲函数)及其对应的双曲积分的特殊奇异极限\(\omega_1/\omega_2 \to 1\)。给出了一类与特定Pochhammer符号积的Mellin-Barnes型积分的双边和有关的新的超几何恒等式。

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Rational Hypergeometric Identities

A special singular limit \(\omega_1/\omega_2 \to 1\) is considered for the Faddeev modular quantum dilogarithm (hyperbolic gamma function) and the corresponding hyperbolic integrals. It brings a new class of hypergeometric identities associated with bilateral sums of Mellin–Barnes type integrals of particular Pochhammer symbol products.

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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.