1
Zand Institute of Higher Education, Shiraz, Iran.
2
Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran.
Abstract
Analytic summability of functions was introduced by Hooshmand in 2016. He used Bernoulli numbers and polynomials Bn(z) to define analytic summability and related analytic summand functions. Since the Bernoulli and Euler polynomials have many similarities, so it motivated us to define differenceability and introduce analytic difference function of a complex or real function by utilizing the Euler numbers and polynomials En(z). Also, we prove some criteria for analytic differenceability of analytic functions. Moreover, we observe that the analytic difference function is indeed a series of the Euler polynomials and arrive at some series convergence tests for Euler polynomial series Σ∞n=0cnEn(z).
Mehboodi,S. and Hooshmand,M. Hadi (2021). Analytic differenceability of functions. Mathematical Analysis and its Contemporary Applications, 3(1), 1-12. doi: 10.30495/maca.2021.680048
MLA
Mehboodi,S. , and Hooshmand,M. Hadi. "Analytic differenceability of functions", Mathematical Analysis and its Contemporary Applications, 3, 1, 2021, 1-12. doi: 10.30495/maca.2021.680048
HARVARD
Mehboodi S., Hooshmand M. Hadi (2021). 'Analytic differenceability of functions', Mathematical Analysis and its Contemporary Applications, 3(1), pp. 1-12. doi: 10.30495/maca.2021.680048
CHICAGO
S. Mehboodi and M. Hadi Hooshmand, "Analytic differenceability of functions," Mathematical Analysis and its Contemporary Applications, 3 1 (2021): 1-12, doi: 10.30495/maca.2021.680048
VANCOUVER
Mehboodi S., Hooshmand M. Hadi Analytic differenceability of functions. MACA, 2021; 3(1): 1-12. doi: 10.30495/maca.2021.680048
