have +obj+ v/v-ing?

Hi,

1.'Jane had the waiter bring her some tea.'

Could we  use the second sentence instead of the first one? Do they mean the same?
2.'Jane had the waiter bringing her some tea.'

According to my dictionary, 'have someone+ v/v-ing' means 'cause someone to do something' like the sentences above. Yes.

o they convey the same meaning or when to use 'have +obj+v' and when to use 'have+obj+v-ing? The meanings are not the same.

1.'Jane had the waiter bring her some tea.' This suggests that the act of bringing was completed, and that Jane received her tea.

2.'Jane had the waiter bringing her some tea.' This refers to a time when the act was not completed. 

eg Jane had the waiter bringing her some tea, when suddenly there was an earthquake and the restaurant collapsed. The waiter never finished bringing the tea.

Best wishes, Clive

Hi,

According to your explanation, do you mean the waiter is in the process of bringing her some tea when something else happens like 'earthquake? In that case, we shoud use v+ing form? Yes, in this case. 
____________
The sentence is from dictionary:
"Within minutes he had the whole audience laughing and clapping."
Could we change it to "Within minutes he had the whole audience laugh and clap."? The 'had them laughing' form stresses the duration of the laughing. 'Had them laugh' stresseds that the activity is completed. eg they laughed and then they stopped.

____________
"She had me doing all kinds of jobs for her."
"She had me do all kinds of jobs for her."
What is their difference in meaning? Are the differences the same as you said in the last post? Same comment as the above.

I moght add that 'have someone doing something' can also refer to a repeated activity. eg My friends called me many times yesterday afernoon. They had me answering the phone all afternoon.

Best wishes, Clive