Hi Mona There is a small difference: 'specially' refers to 'specialisation' or for a particular purpose. Like 'I had this case specially made for my camera equipment'. 'especially' has more of an emphasis in terms of something being exceptional. for example 'This diamond is an especially fine example of the jeweler's ability to enhance its quality'.

What Neal has said is correct. Also, people use 'specially' in the same was as 'especially' in spoken English sometimes. It is very colloquial and incorrect English, but people do use it a lot. My advice would be use 'especially' because this is correct.