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OTHER PROOFS OF KUMMER'S SECOND THEOREM
2001
The aim of this research note is to derive the well known Kummer's second theorem by transforming the integrals which represent some generalized hypergeometric functions. This theorem can also be shown by combining two known Bailey's and Preece's identities for the product of generalized hypergeometric series.
Keywords:
- Hypergeometric identity
- Bilateral hypergeometric series
- Hypergeometric function
- Generalized hypergeometric function
- Algebra
- Barnes integral
- Basic hypergeometric series
- Mathematical analysis
- Hypergeometric function of a matrix argument
- Mathematics
- Kummer's function
- Pure mathematics
- Confluent hypergeometric function
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