"Although the Hindu–Arabic numeral system[1][2] (i.e. decimal) was developed by Indian mathematicians around AD 500,[3] quite different forms for the digits were used initially. They were modified into Arabic numerals later in North Africa. "
Arabic numerals does not only describe the concept of decimal system, but also the shape of digits. Hence "arabic numerals" is the correct description, and "Hindu-Arabic numerals" describes different numerals -- shapes for digits.
Fair enough. The numeral system is Hindu and the typography is derived from Arabic thus Arabic, although what we use in most of the rest of the world diverges quite a bit from truly Arabic typographs. One could argue 0, 1, 2, 3, 9 are similar with some rotation , but 4, 5, 6, 7, and 8 do not look like Arabic numbers. Curiously there is overlap of some E. Arabic numerals and Brahmi numerals.
I'd definitely go with Chrisomalis on this one and just call them "Western numerals" to distinguish them from both Western Arabic and Eastern Arabic numerals. As you say, it's about the different shapes, and the three are definitely not the same.
"Although the Hindu–Arabic numeral system[1][2] (i.e. decimal) was developed by Indian mathematicians around AD 500,[3] quite different forms for the digits were used initially. They were modified into Arabic numerals later in North Africa. "
Arabic numerals does not only describe the concept of decimal system, but also the shape of digits. Hence "arabic numerals" is the correct description, and "Hindu-Arabic numerals" describes different numerals -- shapes for digits.