What question did this study set out to answer?

The central aim is to derive new analytical continuation formulas for the confluent hypergeometric function.

April 7, 2026

Analytic Continuation Formula for a Confluent Hypergeometric Function E₁ of Three Arguments

Key Points

The central aim is to derive new analytical continuation formulas for the confluent hypergeometric function.
Application of methods from complex analysis
Use of the Srivastava function in derivations
New formulas for analytic continuation of the confluent hypergeometric function are established.
The formulations enhance existing knowledge in complex analysis.

Abstract

In this paper, for the confluent hypergeometric function E₁ of three arguments, some new formulas of analytical continuation are derived. In this case, the methods of complex analysis are applied. Moreover, in obtaining the new formulas, the Srivastava function is used.

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Cite This Study

Hasanov et al. (Sat,) studied this question.

synapsesocial.com/papers/69d49fa9b33cc4c35a2281dc https://doi.org/https://doi.org/10.1134/s199508022561255x

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