diff --git a/mlir/include/mlir/Dialect/Complex/IR/ComplexOps.td b/mlir/include/mlir/Dialect/Complex/IR/ComplexOps.td
--- a/mlir/include/mlir/Dialect/Complex/IR/ComplexOps.td
+++ b/mlir/include/mlir/Dialect/Complex/IR/ComplexOps.td
@@ -387,6 +387,25 @@
   let hasFolder = 1;
 }
 
+//===----------------------------------------------------------------------===//
+// RsqrtOp
+//===----------------------------------------------------------------------===//
+
+def RsqrtOp : ComplexUnaryOp<"rsqrt", [SameOperandsAndResultType]> {
+  let summary = "complex reciprocal of square root";
+  let description = [{
+    The `rsqrt` operation computes reciprocal of square root.
+
+    Example:
+
+    ```mlir
+    %a = complex.rsqrt %b : complex<f32>
+    ```
+  }];
+
+  let results = (outs Complex<AnyFloat>:$result);
+}
+
 //===----------------------------------------------------------------------===//
 // SignOp
 //===----------------------------------------------------------------------===//
diff --git a/mlir/test/Dialect/Complex/ops.mlir b/mlir/test/Dialect/Complex/ops.mlir
--- a/mlir/test/Dialect/Complex/ops.mlir
+++ b/mlir/test/Dialect/Complex/ops.mlir
@@ -61,5 +61,18 @@
 
   // CHECK: complex.sub %[[C]], %[[C]] : complex<f32>
   %diff = complex.sub %complex, %complex : complex<f32>
+
+  // CHECK: complex.tanh %[[C]] : complex<f32>
+  %tanh = complex.tanh %complex : complex<f32>
+
+  // CHECK: complex.pow %[[C]], %[[C]] : complex<f32>
+  %pow = complex.pow %complex, %complex : complex<f32>
+
+  // CHECK: complex.sqrt %[[C]] : complex<f32>
+  %sqrt = complex.sqrt %complex : complex<f32>
+
+  // CHECK: complex.rsqrt %[[C]] : complex<f32>
+  %rsqrt = complex.rsqrt %complex : complex<f32>
+
   return
 }