A linear operator and associated families of meromorphically q-hypergeometric functions

Khalid A. Challab, Maslina Darus, F. Ghanim

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

4 Citations (Scopus)

Abstract

In this article, we derive a new class of meromorphically analytic functions, which is defined by means of a Hadamard product (or convolution) involving some suitably normalized meromorphically q-Hypergeometric functions. A characterization property giving the coefficient bounds is obtained. The other related properties, which are studied in this paper, include distortion and the radii of meromorphic starlikeness and meromorphic convexity.

Original languageEnglish
Title of host publication4th International Conference on Mathematical Sciences - Mathematical Sciences
Subtitle of host publicationChampioning the Way in a Problem Based and Data Driven Society, ICMS 2016
PublisherAmerican Institute of Physics Inc.
Volume1830
ISBN (Electronic)9780735414983
DOIs
Publication statusPublished - 27 Apr 2017
Event4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016 - Putrajaya, Malaysia
Duration: 15 Nov 201617 Nov 2016

Other

Other4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016
CountryMalaysia
CityPutrajaya
Period15/11/1617/11/16

Fingerprint

linear operators
hypergeometric functions
convexity
analytic functions
convolution integrals
radii
coefficients
products

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Challab, K. A., Darus, M., & Ghanim, F. (2017). A linear operator and associated families of meromorphically q-hypergeometric functions. In 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016 (Vol. 1830). [070013] American Institute of Physics Inc.. https://doi.org/10.1063/1.4980962

A linear operator and associated families of meromorphically q-hypergeometric functions. / Challab, Khalid A.; Darus, Maslina; Ghanim, F.

4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016. Vol. 1830 American Institute of Physics Inc., 2017. 070013.

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

Challab, KA, Darus, M & Ghanim, F 2017, A linear operator and associated families of meromorphically q-hypergeometric functions. in 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016. vol. 1830, 070013, American Institute of Physics Inc., 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016, Putrajaya, Malaysia, 15/11/16. https://doi.org/10.1063/1.4980962
Challab KA, Darus M, Ghanim F. A linear operator and associated families of meromorphically q-hypergeometric functions. In 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016. Vol. 1830. American Institute of Physics Inc. 2017. 070013 https://doi.org/10.1063/1.4980962
Challab, Khalid A. ; Darus, Maslina ; Ghanim, F. / A linear operator and associated families of meromorphically q-hypergeometric functions. 4th International Conference on Mathematical Sciences - Mathematical Sciences: Championing the Way in a Problem Based and Data Driven Society, ICMS 2016. Vol. 1830 American Institute of Physics Inc., 2017.
@inproceedings{67b47067190843b29644d40f72f2e2d0,
title = "A linear operator and associated families of meromorphically q-hypergeometric functions",
abstract = "In this article, we derive a new class of meromorphically analytic functions, which is defined by means of a Hadamard product (or convolution) involving some suitably normalized meromorphically q-Hypergeometric functions. A characterization property giving the coefficient bounds is obtained. The other related properties, which are studied in this paper, include distortion and the radii of meromorphic starlikeness and meromorphic convexity.",
author = "Challab, {Khalid A.} and Maslina Darus and F. Ghanim",
year = "2017",
month = "4",
day = "27",
doi = "10.1063/1.4980962",
language = "English",
volume = "1830",
booktitle = "4th International Conference on Mathematical Sciences - Mathematical Sciences",
publisher = "American Institute of Physics Inc.",

}

TY - GEN

T1 - A linear operator and associated families of meromorphically q-hypergeometric functions

AU - Challab, Khalid A.

AU - Darus, Maslina

AU - Ghanim, F.

PY - 2017/4/27

Y1 - 2017/4/27

N2 - In this article, we derive a new class of meromorphically analytic functions, which is defined by means of a Hadamard product (or convolution) involving some suitably normalized meromorphically q-Hypergeometric functions. A characterization property giving the coefficient bounds is obtained. The other related properties, which are studied in this paper, include distortion and the radii of meromorphic starlikeness and meromorphic convexity.

AB - In this article, we derive a new class of meromorphically analytic functions, which is defined by means of a Hadamard product (or convolution) involving some suitably normalized meromorphically q-Hypergeometric functions. A characterization property giving the coefficient bounds is obtained. The other related properties, which are studied in this paper, include distortion and the radii of meromorphic starlikeness and meromorphic convexity.

UR - http://www.scopus.com/inward/record.url?scp=85019490146&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85019490146&partnerID=8YFLogxK

U2 - 10.1063/1.4980962

DO - 10.1063/1.4980962

M3 - Conference contribution

VL - 1830

BT - 4th International Conference on Mathematical Sciences - Mathematical Sciences

PB - American Institute of Physics Inc.

ER -