Tagged Questions
3
votes
1answer
75 views
Find point at which equation stops having roots (if it exists)
I am interested in the roots of this function:
f[M_, b_] := 1 - (2 M Gamma[2, 0, (1/M + b M)/Sqrt[b]])/(1/M + b M)
for fixed values of b. In particular I want ...
5
votes
2answers
193 views
Solve for $a$ as a function of $\beta$?
I am trying to solve this equation:
$$\beta^{-a} \Gamma(a) \sin(a \pi) +
e^\beta \beta^{2 a - 1} \Gamma(1 - a) \sin(a \pi) = 0$$
I tried the following:
...
0
votes
1answer
164 views
Iterative way to find roots of confluent hypergeometric function
I am trying to find roots of confluent hypergeometric function and I wonder if I can choose the initial guess by the choice of $\beta$.
...
7
votes
4answers
435 views
Finding the roots of Hypergeometric1F1[]
I am trying to find the roots, λ, for this equation:
Hypergeometric1F1[1/4 (2 - λ /β), n + 1, β]
for certain ...
7
votes
3answers
446 views
Checking if the roots of a function are real
I'm trying to determine if the roots of a function are real. How would you do that?
(In particular I'm interested in verifying that the roots of LegendreP[6, x] ...
10
votes
6answers
2k views
About multi-root search in Mathematica for transcendental equations
I have some questions for multiroot search for transcendental equations. Is there any clever solution to find all the roots for a transcendental equation in a specific range?
Perhaps ...
