๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Identities arising from finite differences

โœ Scribed by John Soundar Jerome

Publisher
Indian Academy of Sciences
Year
2004
Tongue
English
Weight
140 KB
Volume
9
Category
Article
ISSN
0971-8044

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Finite differences and determinant ident
Finite differences and determinant identities
โœ Chu Wenchang ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 172 KB

Determinants of higher derivatives of composite functions are evaluated as limits of the corresponding ones concerning finite differences. As examples, several interesting identities of Wronskian and Hankel determinants are consequently derived.

Congruence identities arising from dynam
Congruence identities arising from dynamical systems
โœ Bau-Sen Du ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 279 KB

Abstract~By counting the numbers of periodic points of all periods for some interval maps, we obtain infinitely many new congruence identities in number theory.

New hypergeometric identities arising fr
New hypergeometric identities arising from Gauss's second summation theorem
โœ H. Exton ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 209 KB

The elementary manipulation of series is applied to obtain a quite general transformation involving hypergeometric functions. A number of hypergeometric identities not previously recorded in the literature are then deduced from Gauss's second summation theorem and other hypergeometric summation theo