Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON A NEW CLASS OF FUNCTIONS RELATED WITH MITTAG-LEFFLER AND WRIGHT FUNCTIONS AND THEIR PROPERTIES

  • Bansal, Deepak (Department of Mathematics College of Engg. and Technology) ;
  • Mehrez, Khaled (Departement de Mathematiques ISSAT Kasserine Universite de Kairouan)
  • Received : 2020.01.21
  • Accepted : 2020.05.22
  • Published : 2020.10.31
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Abstract

In the present paper, we define new class of functions Tα,β(λ; z) which is an extension of the classical Wright function and the Mittag-Leffler function. We show some mean value inequalities for the this function, such as Turán-type inequalities, Lazarević-type inequalities and Wilker-type inequalities. Moreover, integrals formula and integral inequality for the function Tα,β(λ; z) are presented.

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References

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