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http://dx.doi.org/10.4134/CKMS.c180010

REDHEFFER TYPE INEQUALITIES FOR THE FOX-WRIGHT FUNCTIONS  

Mehrez, Khaled (Departement de Mathematiques Faculte des Sciences de Tunis Universite Tunis El Manar)
Publication Information
Communications of the Korean Mathematical Society / v.34, no.1, 2019 , pp. 203-211 More about this Journal
Abstract
In this note, new sharpened Redheffer type inequalities related to the Fox-Wright functions are established. As consequence, we show new Redheffer type inequalities for hypergeometric functions and for the four-parametric Mittag-Leffler functions with best possible exponents.
Keywords
Fox-Wright function; sharpening Redheffer type inequalities; hypergeometric function; four-parametric Mittag-Leffler function;
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1 G. D. Anderson, M. K. Vamanamurthy, and M. Vuorinen, Inequalities for quasiconformal mappings in space, Pacific J. Math. 160 (1993), no. 1, 1-18.   DOI
2 A. M. Mathai and R. K. Saxena, The H-Function with Applications in Statistics and Other Disciplines, Halsted Press, New York, 1978.
3 K. Mehrez, Redheffer type inequalities for modified Bessel functions, Arab J. Math. Sci. 22 (2016), no. 1, 38-42.   DOI
4 K. Mehrez, Functional inequalities for the Wright functions, Integral Transforms Spec. Funct. 28 (2017), no. 2, 130-144.   DOI
5 K. Mehrez and S. M. Sitnik, Functional inequalities for the Mittag-Leffler functions, Results Math. 72 (2017), no. 1-2, 703-714.   DOI
6 S. Ponnusamy and M. Vuorinen, Asymptotic expansions and inequalities for hypergeometric functions, Mathematika 44 (1997), no. 2, 278-301.   DOI
7 L. Zhu, Extension of Redheffer type inequalities to modified Bessel functions, Appl. Math. Comput. 217 (2011), no. 21, 8504-8506.   DOI
8 R. Redheffer, Problems and Solutions: Advanced Problems: 5642, 5665-5670, Amer. Math. Monthly 76 (1969), no. 4, 422-423.   DOI
9 R. Redheffer and J. P. Williams, Problems and Solutions: Solutions of Advanced Problems: 5642, Amer. Math. Monthly 76 (1969), no. 10, 1153-1154.   DOI
10 H. M. Srivastava and Tomovski, Some problems and solutions involving Mathieu's series and its generalizations, JIPAM. J. Inequal. Pure Appl. Math. 5 (2004), no. 2, Article 45, 13 pp.
11 L. Zhu and J. Sun, Six new Redheffer-type inequalities for circular and hyperbolic functions, Comput. Math. Appl. 56 (2008), no. 2, 522-529.   DOI