Elliptic integral of the third kind; translating elliptic integral form MAPLE to Mathematica, one should replace the second argument to its square, see Talk:Elliptic integral#List of notations; dealing with complex values, this may cause problems.
ɪlˈɪptɪk ˈɪntᵻɡɹəl ʌvðə θˈɜːd kˈaɪnd; tɹænslˈeɪɾɪŋ ɪlˈɪptɪk ˈɪntᵻɡɹəl fˈɔːɹm mˈeɪpəl tə mˌæθɪmˈæɾɪkə, wˈʌn ʃˌʊd ɹᵻplˈeɪs ðə sˈɛkənd ˈɑːɹɡjuːmənt tʊ ɪts skwˈɛɹ, sˈiː tˈɔːk:ɪlˈɪptɪk ˈɪntᵻɡɹəl hˈæʃ lˈɪst ʌv noʊtˈeɪʃənz; dˈiːlɪŋ wɪð kˈɑːmplɛks vˈæljuːz, ðɪs mˈeɪ kˈɔːz pɹˈɑːbləmz.