You say:
So showing (their) icon in my app is allowed?
@JonGoodwin: Yes I am looking from copyright issue, is their any?
Intro
A trademark protects your brand image. Namely, your logo or
tagline. You can file for a registered trademark if you want to keep
the integrity of your app without worrying about other developers
taking your brand and creating a similar logo, name, or tagline.
ref2
Case law is complicated.
Hello I use Android. This line you are reading is illegal!.
Android™ should have a trademark symbol the first time it appears in a creative (i.e. the previous line, in this creative answer).
Their icon
Example:
(a) When using their actual logo, the rules are a bit more
complicated.
(b) You cannot use the Facebook “Facebook” logo without their
permission, so this is a no-no:
(c) You can use the Facebook™ “F”. But only in the context that you want to
prompt the reader/viewer to connect to your Facebook page.
When you're trademarking your app, you're protecting yourself from
anyone else from using a similar or confusing name to yours. The
particular design or functionality of an app may be subject to
copyright or patent protection, but a trademark protects the name
of your app, or, the logo associated with your app.
Your icon
Mobile App Icons: They’re Trademarks and You Should Register Them.
The majority of app icons have not yet been registered as
trademarks.
Once a company’s core trademarks are protected, it should consider
filing a trademark application to cover its actual app icon.
I searched all federal case law and all TTAB(Trademark Trial and
Appeal Board) cases and could not find any involving app icon
trademarks.ref3
Disclaimer:
The information provided herein presents general
information and should not be relied upon as legal advice when
anallyzing and resolving a specific legal issue. If you have specific
questions regarding a particular fact situation, please consult with
competent legal counsel about the facts and laws that apply.