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Redheffer type inequalities for the Fox-Wright functions

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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.

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.

참고문헌 (11)

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  3. K. Mehrez, "Redheer type inequalities for modied Bessel functions", Arab J. Math. Sci, 22(1), pp.38~42 (2016)
  4. K. Mehrez, "Functional inequalities for the Wright functions", Integral Transforms Spec. Funct, 28(2), pp.130~144 (2017)
  5. K. Mehrez, "Functional inequalities for the Mittag-Leer functions", Results Math, 72(1-2), pp.703~714 (2017)
  6. S. Ponnusamy, "Asymptotic expansions and inequalities for hypergeo-metric functions", Mathematika, 44(2), pp.278~301 (1997)
  7. R. Redheer, "Problems and Solutions: Advanced Problems: 5642, 5665-5670", Amer. Math. Monthly, 76(4), pp.422~423 (1969)
  8. R. Redheer, "Problems and Solutions : Solutions of Advanced Problems : 5642", Amer. Math. Monthly, 76(10), pp.1153~1154 (1969)
  9. H. M. Srivastava, "Some problems and solutions involving Mathieu's series and its generalizations", JIPAM. J. Inequal. Pure Appl. Math, 5(2), pp.13~ (2004)
  10. L. Zhu, "Extension of Redheer type inequalities to modied Bessel functions", Appl. Math. Comput, 217(21), pp.8504~8506 (2011)
  11. L. Zhu, "Six new Redheer-type inequalities for circular and hyperbolic func-tions", Comput. Math. Appl, 56(2), pp.522~529 (2008)

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