NEW FUNCTIONAL RELATION FOR THE DILOGARITHM INVOLVING TWO VARIABLES

Jorge Luis Cimadevilla Villacrota; M. P. Chaudhary

doi:https://doi.org/10.56827/JRSMMS.2022.1001.7

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

Volume 10, Issue 1 Pages 87-96 December 30, 2022 312 downloads

Article overview

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

PolylogarithmDilogarithm identity or Spence's functionClausen's functionDefinite Integral.

AMS Subject Classification

11A05, 11Y16, 68Q25.

Reference information

How to Cite

Jorge Luis Cimadevilla Villacrota, M. P. Chaudhary (2022). NEW FUNCTIONAL RELATION FOR THE DILOGARITHM INVOLVING TWO VARIABLES. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 10(1), 87-96.

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