Jackson's integral of multiple Hurwitz-Lerch zeta functions and multiple gamma functions

被引：0
|
作者：
Hu, Su [1 ]
Kim, Daeyeoul [2 ,3 ]
Kim, Min-Soo [4 ]
机构：
[1] South China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China
[2] Chonbuk Natl Univ, Dept Math, 567 Baekje Daero, Jeonju Si 54896, Jeollabuk Do, South Korea
[3] Chonbuk Natl Univ, Inst Pure & Appl Math, 567 Baekje Daero, Jeonju Si 54896, Jeollabuk Do, South Korea
[4] Kyungnarn Univ, Div Math Sci & Comp, 7 Woryeong Dong Kyungnamdaehak Ro, Changwon Si 51767, Gyeongsangnam D, South Korea
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 468卷 / 01期
关键词：
Jackson integral; Raabe type formula; Multiple Hurwitz-Lerch zeta function; Barnes gamma function;
D O I：
10.1016/j.jmaa.2018.08.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using the Jackson integral, we obtain the q-integral analogue of Raabe's 1843 formula for Barnes multiple Hurwitz-Lerch zeta functions and Barnes and Vardi's multiple gamma functions. Our results generalize q-integral analogue of the Raabe type formulas for the Hurwitz zeta functions and log gamma functions in [9]. During the proof we also obtain a new formula on the relationship between the higher and lower orders Hurwitz zeta functions. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：227 / 239
页数：13
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