The death toll in a gun and suicide bomb attack on Istanbul's Ataturk airport has risen to 41, 13 of them foreign nationals, with 239 injured, the Turkish city's governor says.

Three attackers arrived in a taxi and began firing at the terminal entrance late on Tuesday. They blew themselves up after police fired back.

PM Binali Yildirim said early signs pointed to so-called Islamic State.

However, no-one has so far admitted carrying out the attack.

Turkey has declared Wednesday a day of national mourning.

Turkish investigators are examining CCTV footage, witness statements and mobile phone video recorded by terrified passengers to try to determine the identity of the attackers.

The Dogan news agency said autopsies on the three dead men suggested they may be foreign nationals but this has not been confirmed.

Turkish Health Minister Recep Akdag says that 128 people remain in hospital, including nationals of Saudi Arabia, Afghanistan, Pakistan, Uzbekistan, Ukraine and Switzerland, the Associated Press reports.

Of those, 41 are still in intensive care.

UK Prime Minister David Cameron said there were no reports yet of any British casualties, but the Foreign Office was in contact with Turkish authorities.

Nationality of dead so far confirmed (may include dual nationality)
23 - Turkish
5 - Saudi
2 - Iraqi
1 - Chinese; Jordanian; Tunisian; Uzbek; Iranian; Ukrainian; (Palestinian ambassador to Turkey says one Palestinian woman killed)

Cleaners worked through the morning to sweep up shattered glass, while workers repaired cables and ceiling tiles. Heavily-armed security personnel were patrolling the airport.

Flights had resumed in the early morning, though with many cancellations and delays.

Turkish President Recep Tayyip Erdogan said the attack should serve as a turning point in the global fight against militant groups.

Reports of the attack vary but it appears the attackers opened fire at the entrance where X-ray machines are positioned, sparking an exchange with police. At least two of the attackers ran into the building.

Footage on social media shows one moving through the building as people around him flee. He is shot by police and remains on the ground for about 20 seconds before blowing himself up. All three attackers were killed.

Analysis: Frank Gardner, BBC security correspondent

The lack of any immediate claim for this attack by so-called Islamic State is not surprising. IS rarely, if ever, claims responsibility for attacks against the Turkish state yet it is quick to advertise its assassinations of Syrian activists inside Turkey.

All the signs point towards IS being the culprits. This is what British counter-terrorism officials term "a marauding terrorist firearms attack", following a pattern first seen in the Mumbai attacks of 2008.

The Istanbul targets were international air travellers and ground staff at an iconic location, the third busiest airport in Europe.

IS is targeting Turkey because it sees its government as being un-Islamic and too close to its Western allies in Nato. IS is also feeling the pressure as the Turkish authorities move to close down its networks inside Turkey.

Turkey's other main foe, Kurdish separatists, have carried out many attacks over the years but their primary targets have tended to be Turkish policemen and soldiers.

Paul Roos, who was due to fly home to South Africa, told Reuters he saw one of the attackers.

"He was wearing all black. His face was not masked. We ducked behind a counter but I stood up and watched him. Two explosions went off shortly after one another. By that time he had stopped shooting.

"He turned around and started coming towards us. He was holding his gun inside his jacket. He looked around anxiously to see if anyone was going to stop him and then went down the escalator. We heard some more gunfire and then another explosion, and then it was over."

The US called the attack "heinous", saying America remained "steadfast in our support for Turkey".

Russian President Vladimir Putin offered his condolences to Turkey in a phone call with Mr Erdogan, as the pair seek to rebuild ties.

French President Francois Hollande has confirmed two French nationals were injured in the attack, but not seriously.

Pope Francis denounced the "brutal terrorist attack", saying: "May the Lord convert the hearts of the violent ones and support our efforts toward the path of peace."

#PrayforTurkey began trending on Twitter after the attack.

Ataturk airport

• Europe's third-busiest in passenger traffic after London Heathrow and Paris Charles de Gaulle, serving 61.3 million passengers in 2015. World's 11th busiest
• Opened in 1924 in the Yesilkoy area, renamed in the 1980s after the nation's first president, Mustafa Kemal Ataturk
• Two passenger terminals: one domestic, one international
• To be closed after the massive Istanbul New Airport - planned to be the largest in the world - opens in the Arnavutkoy district. Its first phase is due to be operational in 2017

Major recent attacks

2016
7 June, Istanbul: Car bomb kills seven police officers and four civilians. Claimed by Kurdish militant group TAK
19 March, Istanbul: Suicide bomb kills four people in shopping street. IS blamed
13 March, Ankara: Car bomb kills 35. Claimed by TAK
17 February, Ankara: 29 killed in attack on military buses. Claimed by TAK
12 January, Istanbul: 12 Germans killed by Syrian bomber in tourist area

2015
23 December, Istanbul: Bomb kills cleaner at Istanbul's Sabiha Gokcen airport. Claimed by TAK
10 October, Ankara: More than 100 killed at peace rally outside railway station. Blamed on IS
20 July, Suruc, near Syrian border: 34 people killed in bombing in Kurdish town. IS blamed

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