Authors:
Gunjan A. Ranabhatt,DOI NO:
https://doi.org/10.26782/jmcms.2026.04.00011Keywords:
Logarithmic series,Alternating series,Generalization,Summability,Abstract
This study develops a broad extension of logarithmic series and presents exact formulas for their sums. By reformulating the series through suitable integral and functional representations, the work uncovers direct links between these generalized series and polylogarithmic functions. The approach yields several transformation identities that streamline the evaluation of such series and reveal a unified structure underlying many classical logarithmic and alternating forms. Illustrative special cases and numerical checks highlight the accuracy and versatility of the derived results, demonstrating their usefulness in analytic methods and computational applicationsRefference:
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