Maple Professional
Maple Academic
Maple Student Edition
Maple Personal Edition
Maple Player
Maple Player for iPad
MapleSim Professional
MapleSim Academic
Maple T.A. - Testing & Assessment
Maple T.A. MAA Placement Test Suite
Möbius - Online Courseware
Machine Design / Industrial Automation
Aerospace
Vehicle Engineering
Robotics
Power Industries
System Simulation and Analysis
Model development for HIL
Plant Modeling for Control Design
Robotics/Motion Control/Mechatronics
Other Application Areas
Mathematics Education
Engineering Education
High Schools & Two-Year Colleges
Testing & Assessment
Students
Financial Modeling
Operations Research
High Performance Computing
Physics
Live Webinars
Recorded Webinars
Upcoming Events
MaplePrimes
Maplesoft Blog
Maplesoft Membership
Maple Ambassador Program
MapleCloud
Technical Whitepapers
E-Mail Newsletters
Maple Books
Math Matters
Application Center
MapleSim Model Gallery
User Case Studies
Exploring Engineering Fundamentals
Teaching Concepts with Maple
Maplesoft Welcome Center
Teacher Resource Center
Student Help Center
JacobiTheta1 - The Jacobi theta function theta1
JacobiTheta2 - The Jacobi theta function theta2
JacobiTheta3 - The Jacobi theta function theta3
JacobiTheta4 - The Jacobi theta function theta4
Calling Sequence
JacobiTheta1(z, q)
JacobiTheta2(z, q)
JacobiTheta3(z, q)
JacobiTheta4(z, q)
Parameters
z
-
algebraic expression (the parameter)
q
algebraic expression (the nome) such that
Description
The Jacobi theta functions JacobiTheta1, JacobiTheta2, JacobiTheta3, JacobiTheta4 are defined by:
These series converge very fast for . See Chapter 16, "Jacobian Elliptic Functions and Theta Functions" of Handbook of Mathematical Functions edited by Abramowitz and Stegun for more extensive information.
Examples
See Also
EllipticNome
Download Help Document
