NEW FUNCTIONAL RELATION FOR THE DILOGARITHM INVOLVING TWO VARIABLES

  • 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
DOI: https://doi.org/10.56827/JRSMMS.2022.1001.7
Keywords: Polylogarithm; Dilogarithm identity or Spence’s function; Clausen’s function; Definite Integral.

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`ere’s function), Euler dilogarithm function and Clausen’s function.
Published
2022-12-30
Issue
Vol 10 No 01 (2022): J. of Ramanujan Society of Mathematics and Mathematical Sciences
Section
Research Article

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