Chapter 11: Q18P (page 559)
Computer plot graphs of sn u, cn u, and dn u, for several values of k, say, for example, .Also plot 3D graphs of sn, cn, and dn as functions of u and k.
Short Answer
The graphs are shown below.
Chapter 11: Q18P (page 559)
Computer plot graphs of sn u, cn u, and dn u, for several values of k, say, for example, .Also plot 3D graphs of sn, cn, and dn as functions of u and k.
The graphs are shown below.
All the tools & learning materials you need for study success - in one app.
Get started for freeThe function is called the digamma function, and the polygama functions are defined by. [Warning: Some authors define as ).]
(a) Show that . Hint: See (3.4).
(b) Use Problem 6 to obtain.
Use Stirling’s formula to evaluate.
Express the following integrals as functions, and then, by (7.1) , in terms of functions. When possible, use function formulas to write an exact answer in terms of , etc. Compare your answers with computer results and reconcile any discrepancies.
role="math" localid="1664349717981"
Prove that . Hint:Putin Equation (6.1).
Carry through the algebra to get the equation
What do you think about this solution?
We value your feedback to improve our textbook solutions.