Second Hankel Determinants for the Class of Typically Real Functions
نویسندگان
چکیده
منابع مشابه
An upper bound to the second Hankel functional for the class of gamma-starlike functions
The objective of this paper is to obtain an upper bound to the second Hankel determinant $|a_{2}a_{4}-a_{3}^{2}|$ for the function $f$, belonging to the class of Gamma-starlike functions, using Toeplitz determinants. The result presented here include two known results as their special cases.
متن کاملan upper bound to the second hankel functional for the class of gamma-starlike functions
the objective of this paper is to obtain an upper bound to the second hankel determinant $|a_{2}a_{4}-a_{3}^{2}|$ for the function $f$, belonging to the class of gamma-starlike functions, using toeplitz determinants. the result presented here include two known results as their special cases.
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*Correspondence: [email protected] 1School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Penang, Malaysia Full list of author information is available at the end of the article Abstract The estimates for the second Hankel determinant a2a4 – a3 of the analytic function f (z) = z + a2z + a3z + · · · , for which either zf ′(z)/f (z) or 1 + zf ′′(z)/f ′(z) is subordinate to a certai...
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Also let S, S∗ β , CV β , and K denote, respectively, the subclasses of A0 consisting of functions which are univalent, starlike of order β, convex of order β cf. 1 , and close-to-convex cf. 2 in U. In particular, S∗ 0 S∗ and CV 0 CV are the familiar classes of starlike and convex functions in U cf. 2 . Given f and g inA, the function f is said to be subordinate to g in U if there exits a funct...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2016
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2016/3792367