A new class of meromorphically analytic functions with applications to the generalized hypergeometric functions

Mostafa Albehbah, Maslina Darus

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We introduce a new subclass of meromorphically analytic functions, which is defined by means of a Hadamard product or convolution. A characterization property such as the coefficient bound is obtained for this class. The other related properties, which are investigated in this paper, include the distortion and the radius of starlikeness. We also consider several applications of our main results to the generalized hypergeometric functions.

Original languageEnglish
Title of host publication2016 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2016 Postgraduate Colloquium
PublisherAmerican Institute of Physics Inc.
Volume1784
ISBN (Electronic)9780735414464
DOIs
Publication statusPublished - 17 Nov 2016
Event2016 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2016 - Selangor, Malaysia
Duration: 13 Apr 201614 Apr 2016

Other

Other2016 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2016
CountryMalaysia
CitySelangor
Period13/4/1614/4/16

Fingerprint

analytic functions
hypergeometric functions
convolution integrals
radii
coefficients
products

Keywords

  • convex functions
  • Hypergeometric functions
  • Meromorphic functions
  • starlike functions

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Albehbah, M., & Darus, M. (2016). A new class of meromorphically analytic functions with applications to the generalized hypergeometric functions. In 2016 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2016 Postgraduate Colloquium (Vol. 1784). [050017] American Institute of Physics Inc.. https://doi.org/10.1063/1.4966836

A new class of meromorphically analytic functions with applications to the generalized hypergeometric functions. / Albehbah, Mostafa; Darus, Maslina.

2016 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2016 Postgraduate Colloquium. Vol. 1784 American Institute of Physics Inc., 2016. 050017.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Albehbah, M & Darus, M 2016, A new class of meromorphically analytic functions with applications to the generalized hypergeometric functions. in 2016 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2016 Postgraduate Colloquium. vol. 1784, 050017, American Institute of Physics Inc., 2016 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2016, Selangor, Malaysia, 13/4/16. https://doi.org/10.1063/1.4966836
Albehbah M, Darus M. A new class of meromorphically analytic functions with applications to the generalized hypergeometric functions. In 2016 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2016 Postgraduate Colloquium. Vol. 1784. American Institute of Physics Inc. 2016. 050017 https://doi.org/10.1063/1.4966836
Albehbah, Mostafa ; Darus, Maslina. / A new class of meromorphically analytic functions with applications to the generalized hypergeometric functions. 2016 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2016 Postgraduate Colloquium. Vol. 1784 American Institute of Physics Inc., 2016.
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