Research Article

The growth of generalized Hadamard product of entire axially monogenic functions

Volume: 47 Number: 5 October 16, 2018
  • M. Abdalla *
  • M. Abul-ez
EN

The growth of generalized Hadamard product of entire axially monogenic functions

Abstract

In this article, we estimated upper bounds for the growth order and growth type of generalized Hadamard product entire axially monogenic functions. Also, some results concerning the linear substitution are discussed. The obtained results are the natural generalizations of those given in complex setting of one variable to higher dimensions of more than four.

Keywords

References

  1. Abul-Ez. M, Hadamard product of bases of polynomials in Clifford analysis, Complex Vari- ables., 43, 109-128, 2000.
  2. Abul-Ez. M and Constales. D, Basic sets of polynomials in Clifford analysis, Complex Vari- ables., 14, 177-185, 1990.
  3. Abul-Ez. M and Constales. D, Linear substitution for basic sets of polynomials in Clifford analysis, Portugaliae Mathematica., 48, 143-154, 1991.
  4. Abul-Ez. M and Constales. D, On convergence properties of basic series representing special monogenic functions, Arch. Math., 81, 62-71, 2002.
  5. Abul-Ez. M and De Almeida. R, On the lower order and type of entire axially monogenic functions, Results. Math., 63, 1257-1275, 2013.
  6. Brackx. F, Delanghe. R and Sommen. F, Clifford analysis. Research Notes in Mathematics 76. London: London Pitman Books Ltd, 1982.
  7. Constales. D, De Almeida. R and Krausshar. R, On the relation between the growth and the Taylor coeffcients of entire solutions to the higher dimensional Cauchy-Riemann system in $R^{n+1}$, J. Math. Anal. Appl., 327, 763-775, 2007.
  8. Constales. D, De Almeida. R and Krausshar. R, On the growth type of entire monogenic functions, Arch. Math., 88, 153-163, 2007.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

M. Abdalla * This is me
United Arab Emirates

M. Abul-ez This is me
Egypt

Publication Date

October 16, 2018

Submission Date

March 8, 2017

Acceptance Date

July 11, 2017

Published in Issue

Year 2018 Volume: 47 Number: 5

APA
Abdalla, M., & Abul-ez, M. (2018). The growth of generalized Hadamard product of entire axially monogenic functions. Hacettepe Journal of Mathematics and Statistics, 47(5), 1231-1239. https://izlik.org/JA64EP45PH
AMA
1.Abdalla M, Abul-ez M. The growth of generalized Hadamard product of entire axially monogenic functions. Hacettepe Journal of Mathematics and Statistics. 2018;47(5):1231-1239. https://izlik.org/JA64EP45PH
Chicago
Abdalla, M., and M. Abul-ez. 2018. “The Growth of Generalized Hadamard Product of Entire Axially Monogenic Functions”. Hacettepe Journal of Mathematics and Statistics 47 (5): 1231-39. https://izlik.org/JA64EP45PH.
EndNote
Abdalla M, Abul-ez M (October 1, 2018) The growth of generalized Hadamard product of entire axially monogenic functions. Hacettepe Journal of Mathematics and Statistics 47 5 1231–1239.
IEEE
[1]M. Abdalla and M. Abul-ez, “The growth of generalized Hadamard product of entire axially monogenic functions”, Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 5, pp. 1231–1239, Oct. 2018, [Online]. Available: https://izlik.org/JA64EP45PH
ISNAD
Abdalla, M. - Abul-ez, M. “The Growth of Generalized Hadamard Product of Entire Axially Monogenic Functions”. Hacettepe Journal of Mathematics and Statistics 47/5 (October 1, 2018): 1231-1239. https://izlik.org/JA64EP45PH.
JAMA
1.Abdalla M, Abul-ez M. The growth of generalized Hadamard product of entire axially monogenic functions. Hacettepe Journal of Mathematics and Statistics. 2018;47:1231–1239.
MLA
Abdalla, M., and M. Abul-ez. “The Growth of Generalized Hadamard Product of Entire Axially Monogenic Functions”. Hacettepe Journal of Mathematics and Statistics, vol. 47, no. 5, Oct. 2018, pp. 1231-9, https://izlik.org/JA64EP45PH.
Vancouver
1.M. Abdalla, M. Abul-ez. The growth of generalized Hadamard product of entire axially monogenic functions. Hacettepe Journal of Mathematics and Statistics [Internet]. 2018 Oct. 1;47(5):1231-9. Available from: https://izlik.org/JA64EP45PH