Digital Library of Mathematical Functions
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NIST
9 Airy and Related FunctionsAiry Functions

§9.4 Maclaurin Series

For z

9.4.1 Ai(z) =Ai(0)(1+13!z3+146!z6+1479!z9+)+Ai(0)(z+24!z4+257!z7+25810!z10+),
9.4.2 Ai(z) =Ai(0)(1+23!z3+256!z6+2589!z9+)+Ai(0)(12!z2+145!z5+1478!z8+),
9.4.3 Bi(z) =Bi(0)(1+13!z3+146!z6+1479!z9+)+Bi(0)(z+24!z4+257!z7+25810!z10+),
9.4.4 Bi(z) =Bi(0)(1+23!z3+256!z6+2589!z9+)+Bi(0)(12!z2+145!z5+1478!z8+).