ABSTRACT

Al3,y[/] Integral operator 302

X Conjugate of matrix A 342 Bzk Bernoulli numbers 415

B2p(r) Reinhart domain 362

B1 = B Open unit ball 342 c Complex plane 3 en Space of n complex variables 342 c Close-to-convex functions 10 coE Convex hull 8

E Set in complex plane 222 Erf(z) Error function 6

cl3.r Special class of analytic functions 175

fn(Z) Functions with respect to symmetric points 313

Ga.n(Z) Slit mapping function 251

.J./0 = .J./[0, 1] Class of normalized analytic functions in U 3

.J./[!1] Class of normalized analytic functions in !1 397

I Identity operator in oL' (en , en) 343 1[/] Integral operator 44 ly[ f] Integral operator 389

113/n,yjn[ f] Integral operator 103

lw[ f] Integral operator 227 I[ f , g] Integral operator 167 ..9g[ f] Integral operator 149

..9g,y[ f] Integral operator 155

..9g,~,y[f] Integral operator 173 J(a, f; z) Differential operator 10 Jn(a, f; z) Differential operator 314

J(~. h; z) Differential operator 178 }g[ f] Integral operator 151

k(z) Koebe function 7 _}( Class of convex functions 8 J((~) Class of convex function of order ~ 8 J<[J1] Class of convex functions in t:J. 398