On p–valent starlike functions with reference to the Bernardi integral operator
1984 ◽
Vol 30
(1)
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pp. 37-43
Keyword(s):
Let (A, B) denote the class of certain p-valent starlike functions. Recently G. Lakshma Reddy and K.S. Padmanabhan [Bull. Austral. Math. Soc. 25 (1982), 387–396] have shown that the function g defined bybelongs to the class (A, B) if f ∈ (A, B). The technique used by them fails when c is any positive real number. In this paper, by employing a more powerful technique, we improve their result to the case when c is any real number such that c ≥ −p(1+A)/(1+B).
1964 ◽
Vol 4
(1)
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pp. 122-128
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1957 ◽
Vol 9
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pp. 277-290
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2018 ◽
Vol 107
(02)
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pp. 272-288
1966 ◽
Vol 62
(4)
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pp. 699-704
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1981 ◽
Vol 31
(4)
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pp. 439-455
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Keyword(s):
1966 ◽
Vol 62
(1)
◽
pp. 33-42
Keyword(s):
2018 ◽
Vol 7
(1)
◽
pp. 77-83
Keyword(s):
2014 ◽
Vol 16
(04)
◽
pp. 1350046
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Keyword(s):