an upper bound to the second hankel functional for the class of gamma-starlike functions

Authors

d‎. ‎ vamshee krishna

department of mathematics‎, ‎git‎, ‎gitam university‎, ‎visakh-apatnam-530 045‎, ‎andhra pradesh‎, ‎india t. ‎ramreddy

department of mathematics, kakatiya university‎, warangal- 506009, telangana state, ‎india.

abstract

‎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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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.  

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Journal title:
bulletin of the iranian mathematical society

جلد ۴۱، شماره ۶، صفحات ۱۳۲۷-۱۳۳۷

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