A note on certain summations due to Ramanujan with application and generalization

Arjun Kumar Rathie; Dongkyu Lim; Richard B. Paris

doi:10.1007/s11139-023-00733-1

A note on certain summations due to Ramanujan with application and generalization

Arjun Kumar Rathie, Dongkyu Lim^*, Richard B. Paris

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

The aim of this note is to provide interesting applications of some of Ramanujan’s summations. An interesting generalization of one of Ramanujan’s summations is also provided.

Original language	English
Pages (from-to)	583–592
Number of pages	10
Journal	Ramanujan Journal
Volume	62
Issue number	2
Early online date	24 May 2023
DOIs	https://doi.org/10.1007/s11139-023-00733-1
Publication status	Published - 1 Oct 2023

Keywords

Generalized hypergeometric function
Classical summation theorems
Clausen’s formula
Ramanujan’s summations

Access to Document

10.1007/s11139-023-00733-1

Cite this

@article{3731867108d7482aacb2b27add65c6e1,

title = "A note on certain summations due to Ramanujan with application and generalization",

abstract = "The aim of this note is to provide interesting applications of some of Ramanujan{\textquoteright}s summations. An interesting generalization of one of Ramanujan{\textquoteright}s summations is also provided.",

author = "Rathie, \{Arjun Kumar\} and Dongkyu Lim and Paris, \{Richard B.\}",

note = "{\textcopyright} 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature. Data availability statement: Not present.",

year = "2023",

month = oct,

day = "1",

doi = "10.1007/s11139-023-00733-1",

language = "English",

volume = "62",

pages = "583–592",

journal = "Ramanujan Journal",

issn = "1382-4090",

publisher = "Springer Netherlands",

number = "2",

}

TY - JOUR

T1 - A note on certain summations due to Ramanujan with application and generalization

AU - Rathie, Arjun Kumar

AU - Lim, Dongkyu

AU - Paris, Richard B.

PY - 2023/10/1

Y1 - 2023/10/1

N2 - The aim of this note is to provide interesting applications of some of Ramanujan’s summations. An interesting generalization of one of Ramanujan’s summations is also provided.

AB - The aim of this note is to provide interesting applications of some of Ramanujan’s summations. An interesting generalization of one of Ramanujan’s summations is also provided.

U2 - 10.1007/s11139-023-00733-1

DO - 10.1007/s11139-023-00733-1

M3 - Article

SN - 1382-4090

VL - 62

SP - 583

EP - 592

JO - Ramanujan Journal

JF - Ramanujan Journal

IS - 2

ER -

A note on certain summations due to Ramanujan with application and generalization

Abstract

Keywords

Access to Document

Fingerprint

Cite this