The Coefficients of Multivalent Close-to-Convex Functions

Livingston, Albert E.

doi:10.2307/2036417

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Is True For N>no(f)1

Introduction1

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1970

2024

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Cited by 14 publications

(19 citation statements)

References 2 publications

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“…Recently A. E. Livingston [16] has shown that (2) is true for all n if F(z) has the form F{z) =A p -.iZp~l+A p z p + • • -, |z| <1, and F(z) is ^-valently close-to-convex in E. This is a great step forward in connection with an extremely difficult problem.…”

Section: Is True For N>no(f)mentioning

confidence: 98%

Quasi-subordination and coefficient conjectures

Robertson¹

1970

Bull. Amer. Math. Soc.

129

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Section: Is True For N>no(f)mentioning

confidence: 98%

Quasi-subordination and coefficient conjectures

Robertson¹

1970

Bull. Amer. Math. Soc.

129

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“…IfP(z) is in P and s is a natural number, then (2.7) |cn -cn_scs| < 2, n > s,n = 1,2,3,.... This result is due to A. E. Livingston [5].…”

mentioning

confidence: 92%

Early coefficients of the inverse of a regular convex function

Libera¹,

Złotkiewicz²

1982

Proc. Amer. Math. Soc.

212

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“…The conjecture is known to be true for several subclasses [2,3,10]. In particular the conjecture is known to be true for multivalent close-to-convex functions K{p) [5], for the case in which b n is real for all n [4,7] and for the case when b n = 0 for n ^ p -2 [6].…”

Section: Introductionmentioning

confidence: 99%