“Heine Hypergeometric Series”的概念、定义、习题解题方法及翻译-数学辞典

单词

Heine Hypergeometric Series

释义

Heine Hypergeometric Series

(1)

where

			(2)
			(3)

In particular,

(4)

(Andrews 1986, p. 10). Heine proved the transformation formula

(5)

and Rogers (1893) obtained the formulas

(6)

(7)

(Andrews 1986, pp. 10-11).

See also q-Series

References

Andrews, G. E. -Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics, and Computer Algebra. Providence, RI: Amer. Math. Soc., p. 10, 1986.

Heine, E. ``Über die Reihe
.'' J. reine angew. Math. 32, 210-212, 1846.

Heine, E. ``Untersuchungen über die Reihe .'' J. reine angew. Math. 34, 285-328, 1847.

Heine, E. Theorie der Kugelfunctionen und der verwandten Functionen, Vol. 1. Berlin: Reimer, 1878.

Rogers, L. J. ``On a Three-Fold Symmetry in the Elements of Heine's Series.'' Proc. London Math. Soc. 24, 171-179, 1893.

随便看

数学辞典收录了8975条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。