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http://dx.doi.org/10.4134/CKMS.c200469

ON PARTIAL SUMS OF FOUR PARAMETRIC WRIGHT FUNCTION  

Din, Muhey U (Department of Mathematics Government Post Graduate Islamia College Faisalabad)
Publication Information
Communications of the Korean Mathematical Society / v.37, no.3, 2022 , pp. 681-692 More about this Journal
Abstract
Special functions and Geometric function theory are close related to each other due to the surprise use of hypergeometric function in the solution of the Bieberbach conjecture. The purpose of this paper is to provide a set of sufficient conditions under which the normalized four parametric Wright function has lower bounds for the ratios to its partial sums and as well as for their derivatives. The sufficient conditions are also obtained by using Alexander transform. The results of this paper are generalized and also improved the work of M. Din et al. [15]. Some examples are also discussed for the sake of better understanding of this article.
Keywords
Partial sums; analytic functions; normalized four parametric Wright function;
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Times Cited By KSCI : 1  (Citation Analysis)
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