Hello,
in cycle mode, there is no change in the camera display when I change; lens=>panoramic=>equirectangular.
(I can provide the small text file.)
Thank’s
I see something… my bitmap texture is very small, but in addition it repeats outside the frame and outside my object…
scene.7z (91.8 KB)
Since this is an image projected onto a 2d plane, I don’t think it can work (equilateral projection)
Finally it should work I should be able to have an equilateral projection, I don’t know what’s wrong with my project reduced to the simplest. It’s painful to go around in circles… 
what are you trying to accomplish? This seems to be working as expected
sorry for being late, i was sick. I posted an example, which is more explicit, when you switch to equirectangular mode the image becomes very small! and in addition it is not deformed
test.zip (170.9 KB)
right, its a flat image, a panoramic setup like you have now is meant to capture 360 degrees, something like this
he created a 3d scene and is capturing a panorama of it. you’re just using a flat image on a plane. you have to create the 3d scene.
For my case, create a sphere, apply uv and the image on it. Thank’s.
if all you want to do is use an image as an HDRI, just put it in the background node, no need for all these workarounds
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put in the right proportion… 
for simple lighting this may be enough…