Sponsored links: Algebra eBooks
 

Help Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

The Maxima on-line user's manual

Algebra Calculator

Search:

Hermite

Function: hermite (<n>, <x>) The Hermite polynomial.

sum(t^n/n! * diff(diff(%e^(x*y*t), x, n), y, n), n, 0, inf), simpsum=true;
sum(t^n/n! * t^n * hermite(n, t*x*y), n, 0, inf), simpsum=true;
diff(diff(%e^(x*y*t), x, 1), y, 1);
diff(diff(%e^(x*y*t), x, 2), y, 2);
diff(diff(%e^(x*y*t), x, 3), y, 3);

Reference: Abramowitz and Stegun, equation 22.5.55, page 780.

(%o1)                                true
(%i2) 

Related Examples

hermite

hermite (2,-0.7);

Calculate

hermite

numerator(hermite(3, ...

Calculate

hermite-numer

%numer(hermite(3, 3/2...

Calculate

hermite-numer

%numer(hermite(3, 3/2...

Calculate

hermite

hermite (1/2,-1);

Calculate

hermite

hermite (2,-0.707107);

Calculate

hermite

hermite(3, 3/22);

Calculate

hermite-numer

%numer(hermite(3, 3/2...

Calculate

hermite

hermite (2,-0.7);

Calculate

hermite-numer

%numer(hermite(3, 3/2...

Calculate