“Kummer's Formulas”的概念、定义、习题解题方法及翻译-数学辞典

单词

Kummer's Formulas

释义

Kummer's Formulas

Kummer's first formula is

(1)

where

is the Hypergeometric Function with

, ..., and

is theGamma Function. The identity can be written in the more symmetrical form as

(2)

where

and

is a positive integer. If

is a negative integer, the identity takes the form

(3)

(Petkovsek et al. 1996).

Kummer's second formula is

(4)

where

is the Confluent Hypergeometric Function and

, ....

References

Petkovsek, M.; Wilf, H. S.; and Zeilberger, D. A=B. Wellesley, MA: A. K. Peters, pp. 42-43 and 126, 1996.

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