𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Note on the Jacobi Elliptic Functions

✍ Scribed by Hyo Chul Myung


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
113 KB
Volume
200
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis


An algebraic method is given for the power series expansions of the Jacobi elliptic functions, based on the properties of the algebra associated with differential equations defining the functions.


πŸ“œ SIMILAR VOLUMES


Note on the 3-Recursive Functions
✍ Paul Axt πŸ“‚ Article πŸ“… 1961 πŸ› John Wiley and Sons 🌐 English βš– 73 KB πŸ‘ 1 views
Note on a versatile Liapunov functional:
✍ J. N. Flavin; S. Rionero πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 69 KB

## Abstract A novel, very effective Liapunov functional was used in previous papers to derive decay and asymptotic stability estimates (with respect to time) in a variety of thermal and thermo‐mechanical contexts. The purpose of this note is to show that the versatility of this functional extends t

A Note on the Comedian for Elliptical Di
✍ Michael Falk πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 228 KB

The comedian COM(X, Y) of random variables X, Y is a median based robust alternative to the covariance of X of Y. For the bivariate normal case it is known that COM(X, Y ), standardized by the median absolute deviations of X and Y, is a symmetric, strictly increasing and continuous function of the c

On Ramanujan's Quartic Theory of Ellipti
✍ Bruce C. Berndt; Heng Huat Chan; Wen-Chin Liaw πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 174 KB

In his famous paper [11], [12, pp. 23 39], Ramanujan offers several elegant series for 1Γ‚?. He then remarks, ``There are corresponding theories in which q is replaced by one or other of the functions'' where r=3, 4, or 6 and where 2 F 1 denotes the classical Gaussian hypergeometric function. In the

Reflection Coefficients for the Generali
✍ L.B. Golinskii πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 241 KB

In the present paper we study generalized Jacobi weight functions on the unit circle-the simplest weight functions with a finite number of algebraic singularities - and asymptotic behavior of the reflection coefficients associated with them. The real line analogues concerning the recurrence coeffici