Guney, Hatun OzlemAcu, MugurBreaz, DanielOwa, Shigeyoshi2024-04-242024-04-2420211012-94052190-7668https://doi.org/10.1007/s13370-020-00852-8https://hdl.handle.net/11468/14956Let T-n be the class of functions f (z) = z + a(n+1)z(n+1) + a(n+2)z(n+2) +... that are analytic in the closed unit disc U. With m different boundary points z(s), (s = 1, 2,..., m), we consider alpha(m) is an element of e(i beta) A(j+lambda) f (U), here A(j+lambda) is given by using fractional derivatives Dj+lambda f (z) for f (z) is an element of T-n. Using A(j+lambda), we introduce a subclass P-n(alpha(m), beta, rho; j, lambda) of T-n. The main goal of our paper is to discuss some interesting results of f (z) in the class P-n(alpha(m), beta, rho; j, lambda).eninfo:eu-repo/semantics/closedAccessAnalytic FunctionAlexander Integral OperatorFractional DerivativeFractional IntegralGamma FunctionMiller And Mocanu LemmaApplications of fractional derivatives for Alexander integral operatorApplications of fractional derivatives for Alexander integral operatorArticle323-4673683WOS:0005840029000012-s2.0-8509395746310.1007/s13370-020-00852-8Q2N/A