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Analytic Continuation of Confluent Hypergeometric Functions and Their Application |
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PP: 1-11 |
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doi:10.18576/sjm/130101
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Author(s) |
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Maged G. Bin-Saad,
Anvar Hasanov,
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Abstract |
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| In this study, we derive new analytic continuation formulas. Results concerning analytic continuation of hypergeometric functions are very important because these functions frequently arise in mathematics, physics, and engineering. Their series definitions typically converge only in restricted regions like $(|z|<1)$, but many applications require values outside these domains. That is where analytic continuation formulas become useful. This work aims at establishing several analytical continuation relations for confluent hypergeometric functions of one and two variables. |
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