Integral means for K-uniformly starlike hurwitz-lerch zeta fractional power functions

Uzoamaka A. Ezeafulukwe, Maslina Darus

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

Abstract

We extended the integral operator defined in [13] to the fractional power of Hurwitz-Lerch Zeta functions.We define a family of k-uniform starlike of such function. We obtained the necessary and sufficient condition F to belong to such family. We also found the integral means of such family of functions and establish an application of differential subordination theorem to a subclass of factional power functions.

Original languageEnglish
Title of host publication2014 UKM FST Postgraduate Colloquium - Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2014 Postgraduate Colloquium
EditorsZahari Ibrahim, Haja Maideen Kader Maideen, Nazlina Ibrahim, Nurul Huda Abd Karim, Taufik Yusof, Fatimah Abdul Razak, Nurulkamal Maseran, Rozida Mohd Khalid, Noor Baa'yah Ibrahim, Hasidah Mohd. Sidek, Mohd Salmi Md Noorani, Norbert Simon
PublisherAmerican Institute of Physics Inc.
Pages815-822
Number of pages8
ISBN (Electronic)9780735412507
DOIs
Publication statusPublished - 1 Jan 2014
Event2014 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2014 - Selangor, Malaysia
Duration: 9 Apr 201411 Apr 2014

Publication series

NameAIP Conference Proceedings
Volume1614
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other2014 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2014
CountryMalaysia
CitySelangor
Period9/4/1411/4/14

Fingerprint

theorems
operators

Keywords

  • Hurwitz-lerch zeta function
  • Integral means and differential subordination
  • K-starlike

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Ezeafulukwe, U. A., & Darus, M. (2014). Integral means for K-uniformly starlike hurwitz-lerch zeta fractional power functions. In Z. Ibrahim, H. M. K. Maideen, N. Ibrahim, N. H. A. Karim, T. Yusof, F. A. Razak, N. Maseran, R. M. Khalid, N. B. Ibrahim, H. M. Sidek, M. S. M. Noorani, ... N. Simon (Eds.), 2014 UKM FST Postgraduate Colloquium - Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2014 Postgraduate Colloquium (pp. 815-822). (AIP Conference Proceedings; Vol. 1614). American Institute of Physics Inc.. https://doi.org/10.1063/1.4895307

Integral means for K-uniformly starlike hurwitz-lerch zeta fractional power functions. / Ezeafulukwe, Uzoamaka A.; Darus, Maslina.

2014 UKM FST Postgraduate Colloquium - Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2014 Postgraduate Colloquium. ed. / Zahari Ibrahim; Haja Maideen Kader Maideen; Nazlina Ibrahim; Nurul Huda Abd Karim; Taufik Yusof; Fatimah Abdul Razak; Nurulkamal Maseran; Rozida Mohd Khalid; Noor Baa'yah Ibrahim; Hasidah Mohd. Sidek; Mohd Salmi Md Noorani; Norbert Simon. American Institute of Physics Inc., 2014. p. 815-822 (AIP Conference Proceedings; Vol. 1614).

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

Ezeafulukwe, UA & Darus, M 2014, Integral means for K-uniformly starlike hurwitz-lerch zeta fractional power functions. in Z Ibrahim, HMK Maideen, N Ibrahim, NHA Karim, T Yusof, FA Razak, N Maseran, RM Khalid, NB Ibrahim, HM Sidek, MSM Noorani & N Simon (eds), 2014 UKM FST Postgraduate Colloquium - Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2014 Postgraduate Colloquium. AIP Conference Proceedings, vol. 1614, American Institute of Physics Inc., pp. 815-822, 2014 Postgraduate Colloquium of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology, UKM FST 2014, Selangor, Malaysia, 9/4/14. https://doi.org/10.1063/1.4895307
Ezeafulukwe UA, Darus M. Integral means for K-uniformly starlike hurwitz-lerch zeta fractional power functions. In Ibrahim Z, Maideen HMK, Ibrahim N, Karim NHA, Yusof T, Razak FA, Maseran N, Khalid RM, Ibrahim NB, Sidek HM, Noorani MSM, Simon N, editors, 2014 UKM FST Postgraduate Colloquium - Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2014 Postgraduate Colloquium. American Institute of Physics Inc. 2014. p. 815-822. (AIP Conference Proceedings). https://doi.org/10.1063/1.4895307
Ezeafulukwe, Uzoamaka A. ; Darus, Maslina. / Integral means for K-uniformly starlike hurwitz-lerch zeta fractional power functions. 2014 UKM FST Postgraduate Colloquium - Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2014 Postgraduate Colloquium. editor / Zahari Ibrahim ; Haja Maideen Kader Maideen ; Nazlina Ibrahim ; Nurul Huda Abd Karim ; Taufik Yusof ; Fatimah Abdul Razak ; Nurulkamal Maseran ; Rozida Mohd Khalid ; Noor Baa'yah Ibrahim ; Hasidah Mohd. Sidek ; Mohd Salmi Md Noorani ; Norbert Simon. American Institute of Physics Inc., 2014. pp. 815-822 (AIP Conference Proceedings).
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