diff --git a/Library/Homebrew/extend/os/linux/formula.rb b/Library/Homebrew/extend/os/linux/formula.rb
index ed5c4f38a2..c603694cc6 100644
--- a/Library/Homebrew/extend/os/linux/formula.rb
+++ b/Library/Homebrew/extend/os/linux/formula.rb
@@ -5,7 +5,12 @@ class Formula
   undef shared_library
 
   def shared_library(name, version = nil)
-    "#{name}.so#{"." unless version.nil?}#{version}"
+    suffix = if version == "*" || (name == "*" && version.blank?)
+      "{,.*}"
+    elsif version.present?
+      ".#{version}"
+    end
+    "#{name}.so#{suffix}"
   end
 
   class << self
diff --git a/Library/Homebrew/formula.rb b/Library/Homebrew/formula.rb
index 83411ab5b9..edca5084ac 100644
--- a/Library/Homebrew/formula.rb
+++ b/Library/Homebrew/formula.rb
@@ -1470,7 +1470,14 @@ class Formula
   end
 
   def shared_library(name, version = nil)
-    "#{name}.#{version}#{"." unless version.nil?}dylib"
+    return "*.dylib" if name == "*" && (version.blank? || version == "*")
+
+    infix = if version == "*"
+      "{,.*}"
+    elsif version.present?
+      ".#{version}"
+    end
+    "#{name}#{infix}.dylib"
   end
 
   # an array of all core {Formula} names
diff --git a/Library/Homebrew/test/os/linux/formula_spec.rb b/Library/Homebrew/test/os/linux/formula_spec.rb
index 806e4a3f77..6a38602109 100644
--- a/Library/Homebrew/test/os/linux/formula_spec.rb
+++ b/Library/Homebrew/test/os/linux/formula_spec.rb
@@ -107,6 +107,12 @@ describe Formula do
       f = Testball.new
       expect(f.shared_library("foobar")).to eq("foobar.so")
       expect(f.shared_library("foobar", 2)).to eq("foobar.so.2")
+      expect(f.shared_library("foobar", nil)).to eq("foobar.so")
+      expect(f.shared_library("foobar", "*")).to eq("foobar.so{,.*}")
+      expect(f.shared_library("*")).to eq("*.so{,.*}")
+      expect(f.shared_library("*", 2)).to eq("*.so.2")
+      expect(f.shared_library("*", nil)).to eq("*.so{,.*}")
+      expect(f.shared_library("*", "*")).to eq("*.so{,.*}")
     end
   end
 end
diff --git a/Library/Homebrew/test/os/mac/formula_spec.rb b/Library/Homebrew/test/os/mac/formula_spec.rb
index b33878dc4d..f41812a072 100644
--- a/Library/Homebrew/test/os/mac/formula_spec.rb
+++ b/Library/Homebrew/test/os/mac/formula_spec.rb
@@ -112,6 +112,12 @@ describe Formula do
       f = Testball.new
       expect(f.shared_library("foobar")).to eq("foobar.dylib")
       expect(f.shared_library("foobar", 2)).to eq("foobar.2.dylib")
+      expect(f.shared_library("foobar", nil)).to eq("foobar.dylib")
+      expect(f.shared_library("foobar", "*")).to eq("foobar{,.*}.dylib")
+      expect(f.shared_library("*")).to eq("*.dylib")
+      expect(f.shared_library("*", 2)).to eq("*.2.dylib")
+      expect(f.shared_library("*", nil)).to eq("*.dylib")
+      expect(f.shared_library("*", "*")).to eq("*.dylib")
     end
   end
 end