3 years ago

New integral representations for the Fox-Wright functions and its applications II.

Khaled Mehrez

Our aim in this paper, is to establish several new integral representations for the Fox--Wright functions ${}_p\Psi_q[^{(\alpha_p,A_p)}_{(\beta_q,B_q)}|z]$ when their terms contain the Fox H-function such that $\mu=\sum_{j=1}^q\beta_j-\sum_{k=1}^p\alpha_k+\frac{p-q}{2}=-m,\;m\in\mathbb{N}_0.$ In particular, closed-form integral expressions are derived here for the four parameters Wright function under a special restriction on parameters. Exponential bounding inequalities for a class of the Fox-Wright function ( likes Luke's type inequalities) are derived. Moreover, monotonicity property of ratios involving the Fox-Wright functions are established.

Publisher URL: http://arxiv.org/abs/1811.06352

DOI: arXiv:1811.06352v1

You might also like
Discover & Discuss Important Research

Keeping up-to-date with research can feel impossible, with papers being published faster than you'll ever be able to read them. That's where Researcher comes in: we're simplifying discovery and making important discussions happen. With over 19,000 sources, including peer-reviewed journals, preprints, blogs, universities, podcasts and Live events across 10 research areas, you'll never miss what's important to you. It's like social media, but better. Oh, and we should mention - it's free.

  • Download from Google Play
  • Download from App Store
  • Download from AppInChina

Researcher displays publicly available abstracts and doesn’t host any full article content. If the content is open access, we will direct clicks from the abstracts to the publisher website and display the PDF copy on our platform. Clicks to view the full text will be directed to the publisher website, where only users with subscriptions or access through their institution are able to view the full article.