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I don't know why no one mentioned this, but all you have to do is to use a special form of OptionsPattern:

pfunc[x0_, plotopts : OptionsPattern[{Plot, pfunc}]] := your-code 

where inside OptionsPattern go all sub-functions you need, in a list. Now everything is fine and dandy.

This has been explained already in this answer of Mr. Wizard, so this answer and the whole question should be considered a duplicate.

There might be a downside of this, in case when several sub-functions can take the same subset of options, while you might want to pass some of the options to some sub-functions but not the other - in which case the special "PlotOptions" option, as suggested by rm -rf, might be a better solution. In the simple cases, however, OptionsPattern[{f1,f2,...}] is IMO the way to go.

I don't know why no one mentioned this, but all you have to do is to use a special form of OptionsPattern:

pfunc[x0_, plotopts : OptionsPattern[{Plot, pfunc}]] := your-code 

where inside OptionsPattern go all sub-functions you need, in a list. Now everything is fine and dandy.

This has been explained already in this answer of Mr. Wizard, so this answer and the whole question should be considered a duplicate.

There might be a downside of this, in case when several sub-functions can take the same subset of options, while you might want to pass some of the options to some sub-functions but not the other - in which case the special "PlotOptions" option, as suggested by rm -rf, might be a better solution. In the simple cases, however, OptionsPattern[{f1,f2,...}] is IMO the way to go.

I don't know why no one mentioned this, but all you have to do is to use a special form of OptionsPattern:

pfunc[x0_, plotopts : OptionsPattern[{Plot, pfunc}]] := your-code 

where inside OptionsPattern go all sub-functions you need, in a list. Now everything is fine and dandy.

There might be a downside of this, in case when several sub-functions can take the same subset of options, while you might want to pass some of the options to some sub-functions but not the other - in which case the special "PlotOptions" option, as suggested by rm -rf, might be a better solution. In the simple cases, however, OptionsPattern[{f1,f2,...}] is IMO the way to go.

I don't know why no one mentioned this, but all you have to do is to use a special form of OptionsPattern:

pfunc[x0_, plotopts : OptionsPattern[{Plot, pfunc}]] := your-code 

where inside OptionsPattern go all sub-functions you need, in a list. Now everything is fine and dandy.

This has been explained already in this answer of Mr. Wizard, so this answer and the whole question should be considered a duplicate.

There might be a downside of this, in case when several sub-functions can take the same subset of options, while you might want to pass some of the options to some sub-functions but not the other - in which case the special "PlotOptions" option, as suggested by rm -rf, might be a better solution. In the simple cases, however, OptionsPattern[{f1,f2,...}] is IMO the way to go.

I don't know why no one mentioned this, but all you have to do is to use a special form of OptionsPattern:

pfunc[x0_, plotopts : OptionsPattern[{Plot}]] := your-code 

where inside OptionsPattern go all sub-functions you need, in a list. Now everything is fine and dandy.

There might be a downside of this, in case when several sub-functions can take the same subset of options, while you might want to pass some of the options to some sub-functions but not the other - in which case the special "PlotOptions" option, as suggested by rm -rf, might be a better solution. In the simple cases, however, OptionsPattern[{f1,f2,...}] is IMO the way to go.

I don't know why no one mentioned this, but all you have to do is to use a special form of OptionsPattern:

pfunc[x0_, plotopts : OptionsPattern[{Plot, pfunc}]] := your-code 

where inside OptionsPattern go all sub-functions you need, in a list. Now everything is fine and dandy.

There might be a downside of this, in case when several sub-functions can take the same subset of options, while you might want to pass some of the options to some sub-functions but not the other - in which case the special "PlotOptions" option, as suggested by rm -rf, might be a better solution. In the simple cases, however, OptionsPattern[{f1,f2,...}] is IMO the way to go.