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Generalized Functional Equations of Polylogarithmic Groups

Author(s)
Muhammad Khalid Department of Mathematical Sciences, Federal Urdu University of Arts, Science & Technology, Karachi-75300, Pakistan
Javed Khan Department of Mathematical Sciences, Federal Urdu University of Arts, Science & Technology, Karachi-75300, Pakistan
Azhar Iqbal Department of Basic Sciences, Dawood University of Engineering & Technology, Karachi-74800, Pakistan
Abstract
In this article, the functional equations of classical polylogarithmic groups for higher weights have been introduced and their relations with configuration of complexes have been defined via morphisms. Furthermore, these functional equations and homomorphisms have been generalized and their proofs have also been given. Through the use of these functional equations, the bi-complex form of the associated diagrams has been shown.
Publication Details
Page(s) 243-251
Published Journal: Punjab University Journal of Mathematics, Volume: 54, Issue: 4, Year: 2022

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Keywords
Polylogarithm, Grassmannian., Functional Equations, Chain Complexes.
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