Analytical and asymptotic representations for two sequence related to Gauss’ lemniscate functions

XUE-FENG HAN 1
, 
Chao-Ping Chen 2
, 
H. M. SRIVASTAVA 3
1
 
2
 
3
 
Publication type: Journal Article
Publication date: 2023-10-12
National Library of Serbia
scimago Q2
wos Q1
SJR: 0.505
CiteScore: 2.1
Impact factor: 1.4
ISSN: 14528630, 2406100X
Applied Mathematics
Discrete Mathematics and Combinatorics
Analysis
Abstract

Let the sequences Gn and gn be defined by Gn := ?10 dt/(1?t2n)1/n (n ? 2) and gn := ??0 dt/(1 + t2n)1/n (n ? 1). In this paper, we first derive analytical representations for these two sequences Gn and gn in terms of the gamma function. By using the obtained analytical representations, we then deduce asymptotic expansions for Gn and gn.

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HAN X., Chen C., SRIVASTAVA H. M. Analytical and asymptotic representations for two sequence related to Gauss’ lemniscate functions // Applicable Analysis and Discrete Mathematics. 2023. Vol. 00. p. 24.
GOST all authors (up to 50) Copy
HAN X., Chen C., SRIVASTAVA H. M. Analytical and asymptotic representations for two sequence related to Gauss’ lemniscate functions // Applicable Analysis and Discrete Mathematics. 2023. Vol. 00. p. 24.
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RIS Copy
TY - JOUR
DO - 10.2298/aadm220810024h
UR - https://doi.org/10.2298/aadm220810024h
TI - Analytical and asymptotic representations for two sequence related to Gauss’ lemniscate functions
T2 - Applicable Analysis and Discrete Mathematics
AU - HAN, XUE-FENG
AU - Chen, Chao-Ping
AU - SRIVASTAVA, H. M.
PY - 2023
DA - 2023/10/12
PB - National Library of Serbia
SP - 24
IS - 00
SN - 1452-8630
SN - 2406-100X
ER -
BibTex
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BibTex (up to 50 authors) Copy
@article{2023_HAN,
author = {XUE-FENG HAN and Chao-Ping Chen and H. M. SRIVASTAVA},
title = {Analytical and asymptotic representations for two sequence related to Gauss’ lemniscate functions},
journal = {Applicable Analysis and Discrete Mathematics},
year = {2023},
publisher = {National Library of Serbia},
month = {oct},
url = {https://doi.org/10.2298/aadm220810024h},
number = {00},
pages = {24},
doi = {10.2298/aadm220810024h}
}