Functional form for machine learning models

I am new to the field of machine learning and I have a question.

Is there a way to print the function of any machine learning model, just like Y=mX + C (equation for straight line). For eg. support vector machine regression. I have done SVR for a dataset. I saved the model in the form of a pickle. Is there a way I can print the function that will be used to do further predictions. I would like to see the function physically and therefore in this spirit I am asking this question.

Thank you.