ABSTRACT

S>..(p) Class of A - spirallike functions of order p 155

2 F}(a,b,c;z) Gaussian hypergeometric function 6

u Unit disk 3 Uro Disk of radius r0 18

0 Constant 178 oo Constant 178 On(a;p,y) Order of starlikeness 112 Ll Upper half-plane 397 <I>(a,c;z) · Confluent hypergeometric function 5

Ln Class of meromorphic functions, 382

LIST OF SYMBOLS 453

:E*(a.) = :Eo*(a.) Class of meromorphic functions, 383 1:: = 1::co) Class of meromorphic functions, 383 ro(p) Order of spirallikeness 156

'lf(r, s, t; z) Admissible function 14

'Pn[Q,q] Class of admissible functions 27

'I'~[Q,q] Class of admissible functions 406 'I'n[h, q] Class of admissible functions 27

'I'n[M, a] Class of admissible functions 33

'Pn {Q,a} Class of admissible functions 35

'Pn{a} Class of admissible functions 35

II z llzp Reinhart norm