Summation Formulae for a Series Involving the I Functions of Several Variables

In this paper, we derive two new summation formulae for a class of series involving I � functions of several variables. These functions, which generalize many known special functions, play a crucial role in various branches of Mathematical analysis and applied Mathematics. By employing suitable techniques of summation and transformation, we establish compact and elegant expressions for these series under certain convergence conditions. These results contribute to the ongoing development of summation theorems for generalized special functions and may further applications in Mathematical analysis

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-06-30
DOI
https://doi.org/10.5281/zenodo.17523826
Primary Topic
Advanced Mathematical Theories
Type
article
Field-Weighted Citation Impact
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article

Summation Formulae for a Series Involving the I Functions of Several Variables

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories
article

Summation Formulae for a Series Involving the I Functions of Several Variables

article en

Abstract

In this paper, we derive two new summation formulae for a class of series involving I � functions of several variables. These functions, which generalize many known special functions, play a crucial role in various branches of Mathematical analysis and applied Mathematics. By employing suitable techniques of summation and transformation, we establish compact and elegant expressions for these series under certain convergence conditions. These results contribute to the ongoing development of summation theorems for generalized special functions and may further applications in Mathematical analysis

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 38%
Advanced Mathematical Theories
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Summation Formulae for a Series Involving the I Functions of Several Variables · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS