I did a quick test with my HM103-3 yesterday.
I'm a little disappointed that it only has a -3 dB bandwith of 8.2 MHz.
At first, I thought it was caused by the function generator (it delivers a maximum of 15 MHz) and checked it with a 60 MHz HM605, but the generator was fine.
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The first
HM103 version from 1982 did not have any externally visible version indicators like -1, -2, or -3.
It had a hexagonal 6x7 divs CRT screen (1div=1cm) and large black AC/DC/GD push-buttons and was produced at least until mid-1984.

HM103-1
Inside, on the CRT shield, there was an orange sticker labeled "1031" (what means
HM103-1).
On later HM103-1 models, the front panel plastic frame changed from dark gray color to light brown, like on the HM103-2.
I'm still looking for a manual with a circuit diagram for this unit (paper or PDF); I only have a photo of the first manual page with the print date 10/82.
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The
HM103-2 probably appeared in mid 1984 (after the last HM103-1 with AC/DC/GD push-button switch from my picture collection), but perhaps not until 1986 (the last changes to the manual; I've only seen index -2 models from 1986 so far).
It still has the 6x7 CRT screen and, as far as I know, is identical to the HM103-1 except for the
new AC/DC/GD slide switch and the new input switch PCB.

HM103-2
It still had the original HM103 marking on the front panel, and initially, it had no index marking on the outside, but an orange sticker on the CRT shield with the designation "1032" (what means
HM103-2).
The later HM103-2 models, however, already had a silver serial number sticker on the back (and inside) also with date of manufacture and the full model number HM103-2.
The accompanying manual already shows the new AC/DC/GD slide switch in the image on page 1 and in the Y-Input schematic, but the "old" front view of the HM103-1 with the AC/DC/GD push-buttons is still shown in the center of the manual.
The manual has a printing date of 12.83, but the circuit diagram is datet from 2.86 (so it must have been updated again, meaning the unit was also produced until at least 2.1986).
The schematics still has the designation HM103-1, as it was presumably adopted unchanged from the first HM103-1 (except for the change in the input slide switches).
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The
HM103-3 was released in late 1986 or early 1987, recognizable by the silver serial number sticker on the back.
It still had the HM103 marking without index on the front panel.

HM103-3
The HM103-3 is essentially identical to the HM103-2.
The only changes were the replacement of the 6x7 CRT and the corresponding front frame with a
new rectangular 8x10 CRT.
The corresponding manual (printing date 1.1986) is titled HM103
without index and is identical to that of the HM103-2, except photos and CRT type name.
The schematics (printing date 5.1989) still has the name HM103-1, but the CRT has been changed to 8x10 (ER100, ER101 in the diagram; in fact, 95FB31F and ER102 were also available).
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The
HM103-2A was released in 1991.
It still features an 8x10 CRT, a
new input circuit (only 10 Y attenuation steps), but also an additional Y-Mag./x5 switch and
smaller gray AC/DC/GD push-buttons instead of the slide switch.
The calibrated position of the Y-Var control is now fully clockwise instead of the previously counterclockwise position.

HM103-2A
The new model name HM103-2 (without A) is printed on the front panel, but the index A can be found on the serial number sticker on the back and inside.
The manual and circuit diagrams also refer to HM103-2 without the index A and was printed in 4.1991.
The input amplifier has been completely redesigned and no longer includes a CA3086, but a TL051.
I am not aware of any device variant of this type without an A index on the serial number sticker.
It remains a mystery why Hameg assigned the index -2A and not simply -4.
Technically speaking, the HM103-2A is the version is farest away from the original HM103-2.
Very strange…

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All of this wasn't easy to figure out, as there were some units that were incorrectly labeled by Hameg (either old labels stuck to already new units, or labels for the new series stuck to the last units of the old series—I've seen both).
Please don't take all this information as 100% accurate, if someone has better information, please let me know.
EDIT: updated history data.