B.a.Uralegaddi,M.D.Ganigi.p-值星形函数的子类(英文)[J].数学研究及应用,1989,9(3):397~401
p-值星形函数的子类(英文)
Subclasses of p-Valent Meromorphic Starlike Functions
投稿时间:1987-06-03  
DOI:10.3770/j.issn:1000-341X.1989.03.017
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作者单位
B.a.Uralegaddi Dept . Math. Dharwad
India 
M.D.Ganigi Dept. Math.Karnatak Univ. Karnatak Arts CollegeDharwad
India 
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英文摘要:
      Let Mn+p-1 denote the class of functions f(z) = 1/zp+a0/zp-2+a1/zp-2+…+an+p-1zn+…, regular and p-valent in the annulus 0<|z|<1 and satisfying Re((Dn+p f(z))/(Dn+p-1 f(z)))-2)<-(n+p-1)/(n+p),|z|<1,n>-p where Dn+p-1 f(z)=1/zp((zn+2p-1f(z))/(n+p-1)!)(n+p-1).Mn+p?Mn+p-1 is proved. Since M0 is the subclass of p-valent meromorphically starlike functions, all functions in Mn + p-1 are p-valent meromorphically star-like functions. Further the integrals of functions in Mn+p-1, are considered.
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