Confluent Hypergeometric Equation via Fractional Calculus Approach

Confluent Hypergeometric Equation via Fractional Calculus Approach

In this paper, using the theory of the so-called fractional calculus we show that it is possible to easily obtain the solutions for the confluent hypergeometric equation. Our approach is to be compared with the standard one (Frobenius) which is based on the ordinary calculus of integer order.

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Veröffentlicht in:arXiv.org 2016-12
Hauptverfasser: Rodrigues, Fabio G, Oliveira, Edmundo C
Format: Artikel
Sprache:eng
Schlagworte:
Calculus
Fractional calculus
Hypergeometric functions
Mathematics - Mathematical Physics
Physics - Mathematical Physics
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Zusammenfassung:In this paper, using the theory of the so-called fractional calculus we show that it is possible to easily obtain the solutions for the confluent hypergeometric equation. Our approach is to be compared with the standard one (Frobenius) which is based on the ordinary calculus of integer order.
ISSN:2331-8422
DOI:10.48550/arxiv.1612.07573