NEW FUNCTIONAL RELATION FOR THE DILOGARITHM INVOLVING TWO VARIABLES

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 101

Volume : 10 , Issue : 1
DOI: https://doi.org/10.56827/JRSMMS.2022.1001.7
Author :
Jorge Luis Cimadevilla Villacrota (C/Alava, 15 1 D, 33210, Gijon, Asturias, SPAIN)
M. P. Chaudhary (International Scientific Research and Welfare Organization (Albert Einstein Chair Professor of Mathematical Sciences) New Delhi 110018, INDIA)

Abstract

We establish new functional relations for the dilogarithm involving two variables, which adhere the properties of Polylogarithm. We also considered several closely-related identities such as (for example) polylogarithm (also known as Jonqui\`{e}re's function), Euler dilogarithm function and Clausen's function.

Keywords and Phrases

Polylogarithm; Dilogarithm identity or Spence's function; Clausen's function; Definite Integral.

A.M.S. subject classification

11A05, 11Y16, 68Q25.

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