NEW FUNCTIONAL RELATION FOR THE DILOGARITHM INVOLVING TWO VARIABLES

Authors

  • 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)

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\`{e}re's function), Euler dilogarithm function and Clausen's function.

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Published

2023-06-08

Issue

Vol. 10 No. 01 (2022): Journal of Ramanujan Society of Mathematics and Mathematical Sciences

Section

Articles