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Hi, here is my piece of code

var('x,m')
assume(m, 'integer')
y = function('y', x)
desolve(diff(y,x,2) + 2*x*diff(y,x) - 4*m*y, y,contrib_ode=true,ivar=x)

which yields

[y(x) == k1*kummer_m(-m, 1/2, -x^2) + k2*kummer_u(-m, 1/2, -x^2)]

Internet(Wikipedia) sais that the solutions to this differential equation are the Kummer functions or Confluent_hypergeometric_functions. I now want to know how I can use these functions in sage since they must be defined in maxima.

Thanks in advance

Hi, here is my piece of code

var('x,m')
assume(m, 'integer')
y = function('y', x)
desolve(diff(y,x,2) + 2*x*diff(y,x) - 4*m*y, y,contrib_ode=true,ivar=x)

which yields

[y(x) == k1*kummer_m(-m, 1/2, -x^2) + k2*kummer_u(-m, 1/2, -x^2)]

Internet(Wikipedia) sais that the solutions to this differential equation are the Kummer functions or Confluent_hypergeometric_functions. I now want to know how I can use these functions in sage since they must be defined in maxima.

Thanks in advance

Hi, here is my piece of code

var('x,m')
assume(m, 'integer')
y = function('y', x)
desolve(diff(y,x,2) + 2*x*diff(y,x) - 4*m*y, y,contrib_ode=true,ivar=x)

which yields

[y(x) == k1*kummer_m(-m, 1/2, -x^2) + k2*kummer_u(-m, 1/2, -x^2)]

Internet(Wikipedia) sais that the solutions to this differential equation are the Kummer functions or Confluent_hypergeometric_functions. I now want to know how I can use these functions in sage since they must be defined in maxima.

Thanks in advance

Hi, here is my piece of code

var('x,m')
assume(m, 'integer')
y = function('y', x)
desolve(diff(y,x,2) + 2*x*diff(y,x) - 4*m*y, y,contrib_ode=true,ivar=x)

which yields

[y(x) == k1*kummer_m(-m, 1/2, -x^2) + k2*kummer_u(-m, 1/2, -x^2)]

Internet(Wikipedia) sais that the solutions to this differential equation are the Kummer functions or Confluent_hypergeometric_functions. I now want to know how I can use these functions in sage since they must be defined in maxima.

Thanks in advance