Topic
Weierstrass functions
About: Weierstrass functions is a research topic. Over the lifetime, 713 publications have been published within this topic receiving 12279 citations.
Papers published on a yearly basis
1 / 2
Papers
Book•
1 Jan 1989
TL;DR: In this paper, Jacobi's Zeta and Epsilon functions are presented as functions of the squared modulus of the Equation (1) of the Squared Modulus.
Abstract: 1 Theta Functions.- 2 Jacobi's Elliptic Functions.- 3 Elliptic Integrals.- 4 Geometrical Applications.- 5 Physical Applications.- 6 Weierstrass's Elliptic Function.- 7 Applications of the Weierstrass Functions.- 8 Complex Variable Analysis.- 9 Modular Transformations..- Appendix A Fourier Series for a Periodic Analytic Function.- Appendix B Calculation of a Definite Integral.- Appendix C BASIC Program for Reduction of Elliptic Integral to Standard Form.- Appendix D Computation of Tables.- Table A. Theta Functions.- Table B. Nome and Complete Integrals of the First and Second Kinds as Functions of the Squared Modulus.- Table D. Legendre's Incomplete Integrals of First and Second Kinds.- Table E. Jacobi's Zeta and Epsilon Functions.- Table F. Sigma Functions.
923 citations
Book•
1 May 1990
TL;DR: In this paper, the authors present general theorems about elliptic functions Modular functions The Weierstrass functions Theta functions The Jacobi functions Transformation of Elliptic functions Additional facts about Elliptical integrals Some conformal mappings Extremal properties of fractions to which a transformation of elliptic function reduces Generalization of Tchebycheff polynomials Various supplements and applications.
Abstract: General theorems about elliptic functions Modular functions The Weierstrass functions Theta functions The Jacobi functions Transformation of elliptic functions Additional facts about elliptic integrals Some conformal mappings Extremal properties of fractions to which a transformation of elliptic functions reduces Generalization of Tchebycheff polynomials Various supplements and applications.
888 citations
589 citations
TL;DR: In this article, the improved F -expansion method and the condition under which it can be used for the generalized Hirota-Satsuma coupled KdV equation are introduced.
250 citations
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Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 3 |
| 2024 | 7 |
| 2023 | 24 |
| 2022 | 27 |
| 2021 | 5 |
| 2020 | 7 |