A Note on radius of starlikeness and convexity of p-valent analytic functions

Latha, S. and Raju, D. S. and Poornima, N. (2008) A Note on radius of starlikeness and convexity of p-valent analytic functions. International Journal of Mathematical Analysis, 2 (23). pp. 1111-1116. ISSN 1312-8876

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Abstract

LetApdenote the class of analytic functions of the formf(z)=zp+∞∑n=p+1anzn(p∈N={1,2,3, ...})defined in the unit discU={z:|z|<1}and Ω denote the class of functionssuch thatω(0) = 0 and|ω(z)|<1. LetP(A, B, p, α) be the class of functionsof the formp(z)=p+∞∑n=1anznandp(z)=p+γω(z)1+Bω(z),−1≤B<A≤1whereγ=(p−α)A+αB.In this paper, we define the classSq(A, B, p, α)offunctionsf(z)∈Apsuch thatq+zf(q+1)(z)f(q)(z)=p(z) forp(z)∈P(A, B, p, α)and radius of starlikeness and convexity of functions in this class are studied.

Item Type:	Article
Subjects:	E Mathematical Science > Mathematics
Divisions:	Yuvaraj college > Mathematics
Depositing User:	Manjula P Library Assistant
Date Deposited:	03 Sep 2019 07:48
Last Modified:	03 Sep 2019 07:48
URI:	http://eprints.uni-mysore.ac.in/id/eprint/7486

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