A tablet pen, as the name suggests, is a pen that you use for tablets and laptops with touchscreen. One one hand, the input is given with a lot of precision, as the touching point with the screen is only the thin tip of the pen. On the other hand, you can prevent polluting the screens with fingerprints.
For the basic understanding of how a tablet pen actually works, let's first look at the two basic functional principles of a touchscreen. On one side, there's the resistive one, on the other side there's the capacitive one. The resistive touchscreen plays an important role in the industry as it responds to pressure and can be operated with gloves without any problems. On the flipside, the capacitive touchscreen has to be touched with a conductive object, i.e. with a finger or a conductive input pen. Most importantly, the capacitive technologie dominates the smartphone and tablet market.
90XB063N-MTO020 original Asus Active stylus SA200H MPP 1.51 incl. batteries
90XB07KN-MTO000 original Asus Pen 2.0 SA203H
5T70K13856 original Lenovo stylus incl. battery
90XB06PN-MTO000 original Asus Pen SA201H MPP 2.0 incl. batteries
4X80N95873 original Lenovo Active Pen 2 incl. battery
NC.23811.08Z original Acer stylus
000085C01011 original Asus Active Stylus SA200H MPP 1.51 Extended Kit incl. batteries
PEN059 IPC-Computer Universal pen white
6SG43AA original HP Active Pen G3
NC.23811.07H original Acer stylus
3V2X4AA original HP MPP 1.51 Pen incl. battery
NC.23811.040 original Acer Active Stylus ASA630 incl. 2x AAAA batteries incl. batteries
NC.23811.06F original Acer stylus
NC.23811.08A original Acer stylus
90NX03L1-R90010 original Asus Stylus Pen SA301H
NC.23811.07A original Acer stylus
4X81C96610 original Lenovo ThinkPad Pro-10 Stylus
90NX04A1-R90030 original Asus stylus
NC.23811.08H original Acer stylus
5T70Z72209 original Lenovo stylus
GX80K32884 original Lenovo Active Pen incl. battery
NC.23811.07R original Acer stylus
4WW09AA original HP Active Pen G2
8JU62AA original HP Pro Pen G1 incl. battery
L04729-003 original HP (Charging cable in colour rosé) b-stock
3J122AA original HP Tilt Pen MPP 2.0 black
5T70X78201 original Lenovo USI Pen incl. battery
No, because every manufacturer uses different input technoligies.
You can use any capacitive touchscreen with a simple pen with conductive rubber tip. Basically, this just is a digital finger which is more comfortable and doesn't leave dirty fingerprints. Since the technologie behind this is very simplistic, such pens are relatively inexpensive.
In contrast, the so-called active input pen or active stylus must be compatible with the respective tablet. This is because maufacturers are applying highly complex technologies that enable the user to write or draw on his device like on paper. Additionally, this kind of tablet pen can modified with buttons and switches and thus can act as a substitude for the mouse. This provides functions such as erase and undo. Especially in the industry of modern graphic design, such high-precision pens with special drawing tablets are an enormous relief.
An example of compatibility of active stylus and tablet is the VivoTab Note 8 tablet from ASUS. Due to the special EMR (Electro Magnetic Resonance) technology, there is exactly one suitable pen that can be used for this tablet. However, it is also possible that different manufacturers use the same electronics for their pens, which are only slightly different in appearance. Furthermore, this makes these stylus pens compatible with each other despite originating from various producers. One example of this would be Asus, HP and Dell, all offering the same stylus pen, with different model designations.