Investigation of some Pick functions and its integral representation

Authors

  • Soueycatt Mohammad
  • Abedalbaset Yonsoo
  • Abedalbaset Yonsoo
  • Nabil Salman

Abstract

In this research, we have proved that the function

which is analytic in the complex plane expect the negative real axis, where  is a Gamma function, is a Pick function by proving that the imaginary part of the function  is positive in the upper half complex plane expect the negative real axis. And we have obtained an integral representation of the function . From that, we have concluded that the derivative of the real function  is a completely monotonic. Moreover, we have proved that some functions related to the function  are Pick functions and we have found the integral representations for there.

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Published

2020-06-11

How to Cite

1.
سويقات م, يونسو عا, بكداش أ, سليمان ن. Investigation of some Pick functions and its integral representation. TUJ-BA [Internet]. 2020Jun.11 [cited 2024Apr.27];42(2). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/9635

Issue

Vol. 42 No. 2 (2020): Tishreen University Journal for Research and Scientific Studies - Basic Sciences Series

Section

Articles

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