def METHOD_NAME(application_gateway_name: Optional[pulumi.Input[str]] = None,
                                                               connection_name: Optional[pulumi.Input[str]] = None,
                                                               resource_group_name: Optional[pulumi.Input[str]] = None,
                                                               opts: Optional[pulumi.InvokeOptions] = None) -> pulumi.Output[GetApplicationGatewayPrivateEndpointConnectionResult]:
    """
    Gets the specified private endpoint connection on application gateway.
    :param str application_gateway_name: The name of the application gateway.
    :param str connection_name: The name of the application gateway private endpoint connection.
    :param str resource_group_name: The name of the resource group.
    """
    ...