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Makale Tam Makale Uluslararası 2019

Radii problems for normalized q-Bessel and Wright functions

Evrim Toklu, Ibrahim Aktas, Halit Orhan

ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA Cilt 11 · Sayı 1 · ss. 203–223 · 01.08.2019
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Özet

In this investigation, our main objective is to ascertain the radii of k-uniform convexity of order alpha and the radii of strong starlikeness of the some normalized q-Bessel and Wright functions. In making this investigation we deal with the normalized Wright functions for three different kinds of normalization and six different normalized forms of q-Bessel functions. The key tools in the proof of our main results are the Mittag-Leffler expansion for Wright and q-Bessel functions and properties of real zeros of these functions and their derivatives. We also have shown that the obtained radii are the smallest positive roots of some functional equations.

Anahtar kelimeler

Mittag Leffler expansions k-uniform convex functions radius of k-uniform convexity of order alpha Wright and q-Bessel functions strong starlikeness

Atıf için künye

Toklu, E., Aktas, I., & Orhan, H. (2019). Radii problems for normalized q-Bessel and Wright functions. ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 11(1), 203–223. https://doi.org/10.2478/ausm-2019-0016

BibTeX
@article{toklu2019-73085,
  author = {Toklu, Evrim and Aktas, Ibrahim and Orhan, Halit},
  title = {Radii problems for normalized q-Bessel and Wright functions},
  journal = {ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA},
  year = {2019},
  volume = {11},
  number = {1},
  pages = {203--223},
  issn = {1844-6094},
  doi = {10.2478/ausm-2019-0016},
  url = {https://akademik.atauni.edu.tr/yayinlar/73085-radii-problems-for-normalized-q-bessel-and-wright-functions}
}